diff --git "a/data/dm_maths/full_data_1/2075_11255.jsonl" "b/data/dm_maths/full_data_1/2075_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2075_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor 0 - 1\/4*v**4 - 3\/4*v**3 + 0*v - 1\/2*v**2.\nAnswer: -v**2*(v + 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -259897885\/28 - -9292849. Let g = k + -10780. What is the common denominator of ((-9)\/24)\/((-24)\/(-38)) and g?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22714, -22939, -23356, -23977, -24814, -25879?\nAnswer: -27184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 161919*t**2 - 6594973512*t - 3276431975792.\nAnswer: -(t + 503)*(t + 80708)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 6*p - 32. Let l be s(-10). Let j be (l\/16)\/((-4)\/(-16)) + 8. What is the highest common factor of j and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 (base 11) in base 16?\nAnswer: 36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -2\/19, 2\/17, 3, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6 = -2*b. Suppose b*u - 2*u = 0. Let o be -3 + (42 - -1) + u. Solve 4*f - 21 = -m, 4*m = -5*f - 0*m + o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/(-1))\/(5\/715)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yynnonoyyowggngynroy. Give prob of sequence wn.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 - 1. Let h be d(1). Let z be (1 + 18\/4)*h. Let r be (6\/(-4))\/(3\/(-22)). Calculate the greatest common divisor of r and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31.32 - 2.12. Let r = k - 29. Let i(j) = 2*j**3 - j - 1. Let g be i(-1). What is the third biggest value in g, r, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + h**4 + 203*h - 205*h + h**4 - 3 to the form g*h**3 + w + b*h**2 + o*h**4 + i*h and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 572836\/921135745 - 2\/283165. Let n = 35815\/52048 - x. Let f = -1\/48 + n. Which is the nearest to f? (a) 4 (b) -5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = -3*g, -4*g + k + 17 = -0*k. Let o be 2\/(-1 + -3)*(28 - -10). Sort 1, -4, g, o.\nAnswer: o, -4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**3\/3 - 59*q**2\/2 + 2216*q + 1469. Find the first derivative of z(b) wrt b.\nAnswer: -4*b - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(-2 + (sqrt(405)*-2)\/(sqrt(45)\/(sqrt(5) - 1*sqrt(5) - sqrt(5)))).\nAnswer: -12*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122 (base 5) in base 14?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 + 52*q**2 - 200*q - 8. Let m be k(4). What is the greatest common factor of m and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 + 7 - (10 + -12 - 4))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6164 divided by 6?\nAnswer: 3082\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/20 + 3*h**4\/4 + 5*h**3\/6 - 4*h**2 - 3*h. Let k be o(-7). What is the highest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 6. Suppose -6*g - 48 = -18*g. Suppose 2 - 26 = -g*r. Suppose -13 = r*q + 29. Give o(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 1)\/((-6)\/9). Suppose -3*a = -4*j - 43, a - 3*a = j + 8. What are the prime factors of (j\/6)\/(1\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1421, -1423, -1425?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Suppose q = -3*y + 30, -3*y + q = -r*q - 18. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 26. Let r be p(-6). Let a be r\/(-4) + (-1)\/(-2). Solve 3*x - 5*x = -a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -656564, -1312932, -1969286, -2625620, -3281928, -3938204, -4594442?\n\"Answer: i**3 + i**2 - 656378*i - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (27\/(-12))\/(51\/(-57256))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20125, -41140, -62155?\n\"Answer: -21015*b + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3)*(-117)\/3. Let k be (-38)\/5*(-6 + 1). Let f = k + w. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53444, 106887, 160330, 213773, 267216, 320659?\n\"Answer: 53443*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 43\/15816562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/475, 2\/25, -2\/17?\nAnswer: 2\/475","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17837839*n**3*x**2 - n**2*x + 1123879*n*x**2 + x**2 wrt n?\nAnswer: -107027034*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -13\/2*m**2 + 1\/4*m**4 + 8 - m + 3*m**3. Does 12 divide u(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 10, j: 6, r: 2}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a**3 - 4*a**2 + 4*a**2)*(-4*a**2 + 2*a**2 + 3*a**2) + a**5 + a**5 - 3*a**5 + 0*a**2 - 4*a**5 + 0*a**2)*(1 - 5 - 1).\nAnswer: 30*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4585 a factor of 190096261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 5*f**2 + 5*f. Let a(o) = -3*o**2 + 3*o. What is -5*a(l) + 3*g(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*l = 121 - 430. Solve 3*x - l*x - 4*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 - -57.97. Let s = -57.73 + p. Let u = -0.26973 + s. Round u to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 31*x**2 + 45*x - 447. Give k(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -39*n. Solve -4*o = -5*g - 18, -2*o - 4*g - 7 + 3 = n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 966222962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6*9\/24)\/(312\/(-23712)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 7*o**2 - 3*o. Suppose -3 = -s + 31. Calculate the remainder when s is divided by n(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-1)\/(5\/(-15)). What is the common denominator of 61\/8 and (0 + 219\/j)\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*d - d + 18, 5*j - 45 = -d. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20\/9 - -31\/18. Suppose 7*n - 4*n = 2*p, 0 = 5*n - p - 7. Which is the second biggest value? (a) 3\/7 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10737?\nAnswer: 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (1185\/553)\/(40\/(-14) - -3)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 - 153. Solve -5*n + u = -x*u + 22, -5*u = n - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(7359\/(-4683))*(-16)\/(-4)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.18 - -0.18. Let b = -12.16 - a. Let u = b - -0.16. Sort -2, u, -4 in decreasing order.\nAnswer: -2, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591235567 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2965968 is divided by 3002.\nAnswer: 2994","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*q**3*u**3 + 2*q**2*u**3 - 5*q**2 wrt q.\nAnswer: 756*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -8 + (-52)\/(-6) - 16295\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 48*r**2 - 589*r - 320. What is z(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3345+44\nAnswer: 44.3345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41685, -32564, -23443, -14322, -5201, 3920?\n\"Answer: 9121*r - 50806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 26916\nAnswer: -1\/8972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -655, -2249, -5373, -10537?\nAnswer: -18251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (416\/(-48))\/(146\/730)*(-2)\/15.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(475) + 3)**2 + (sqrt(95)\/sqrt(20) + 0)**2)*-6*5.\nAnswer: -28785\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 9*n - 11 + 5 - 1639*n**3.\nAnswer: -1639*n**3 + n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -7*o**5 - 2378038*o**4 + 7813609*o**3 - 6794456*o**2 + 1358892*o = 0.\nAnswer: -339723, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4155479 is divided by 11511?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*v**4 + 582*v?\nAnswer: 168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3705318718 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 - 8*z**2 - 2*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 4*f, 4*s + 3*f - 14 = 5. Suppose -5*o - 4*c + 41 = 0, 0*o + o = -s*c + 5. Solve 3*h = -5*k + 17, 2*h + 3*k - 2*k = o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyxixuy. What is prob of sequence yxhi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020 is divided by 455\/15 + (-18)\/(-27)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4.5, 1, -4\/5, 1\/4, 4 in ascending order.\nAnswer: -4.5, -4\/5, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*v + 15 = 0, -3*o + 15 = -278*v + 276*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and 0.127.\nAnswer: 0.1905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5707717 kilometers in centimeters?\nAnswer: 57077.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 + 11*k**2 - 3*k - 31. Suppose -3*q - 4*t + 2 = -2*q, -4*q + 28 = -4*t. List the prime factors of i(q).\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**7\/42 + 5*j**6\/4 + 8*j**5 + 245*j**4\/12 + 55*j**3\/2 - 8*j**2 - 13*j. Factor g(y).\nAnswer: -5*(y - 33)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 556 + 0?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9 = 0, -2*y - 5*n = -n + 188. Let v be (-2)\/(-11) - 28\/y. What is the closest to 0.1 in 0.2, -1\/8, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.12871 centimeters to nanometers.\nAnswer: 91287100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 201111 (base 3) in base 8?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 + -15.18. Let l = -15.5 - y. Let v(x) = x**2 + 4*x - 1. Let d be v(-5). Sort -5, l, d in ascending order.\nAnswer: -5, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 155, 258, 387?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:10 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-23 + -2 - -21 - -26 - -65).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3827*p**2 + 7390. Let y(l) = 7609*l**2 + 14782. Let o(g) = 11*j(g) - 5*y(g). Differentiate o(s) with respect to s.\nAnswer: 8104*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3665697884?\nAnswer: 2, 43, 47, 453451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 9:35 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-1\/4))*a*a**(1\/2))\/((a**(1\/4)\/a)\/(a**(-8)\/a)) assuming a is positive.\nAnswer: a**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 3*j - 14, -449*f + 28 = -447*f + 2*j for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.075123 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19768 and 728?\nAnswer: 256984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 + 1.2. Let j = -0.58 + -41.42. Which is the third biggest value? (a) j (b) -1\/9 (c) 4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*((0 + -2*sqrt(242) + sqrt(242))**2 + sqrt(242) + (-3*(sqrt(242) + -2))**2 + sqrt(242))*-2.\nAnswer: -748*sqrt(2) + 4912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1501940217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.084, -3\/4, -0.4, 0.3 in decreasing order.\nAnswer: 0.3, -0.084, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-10)*210\/(-28). Suppose 2*v = -2*v. Let j(g) = -h*g - g + 3*g + v*g. Let b(y) = 2*y. Give b(j(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*h + 57. Let o = -316 - -837. Let r = o + -526. Which is the biggest value? (a) h (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 28306880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21 - 27)*27\/2. Let s = 77 + b. Let m be (-1 + -2 - -3)*-1. Sort m, 4, s.\nAnswer: s, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {a: 7, g: 5, c: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 67*s**2 - 702*s - 10. Determine r(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 1448983940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -171167.69 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 1:18 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107999 is divided by 341?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/8)\/(g**(-8\/3)*g) assuming g is positive.\nAnswer: g**(25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -508 - 172. Let x = 180 + o. Suppose 0 = 2*k - 4, 5*y + 4*k - 173 = 385. Calculate the highest common factor of y and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 213 = -27. Let g = 99 + t. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 8*r + 6. Calculate the remainder when w(-4) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 283, -2584, 4 in ascending order.\nAnswer: -2584, 4, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 962394.2 milliseconds in microseconds?\nAnswer: 962394200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -58*((-9)\/14 - (-83)\/581)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 921 = -2*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 136*i - 1. Let m be k(1). Let u = m - 74. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2624, 2582, 2540, 2498, 2456, 2414?\n\"Answer: -42*x + 2666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1271537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*f - 2*g, 7*f = 2*f + 3*g + 31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.9 - 4.9. Let f = -19 + 20.8. Let i = 1.9 - f. Which is the fourth biggest value? (a) 3\/2 (b) i (c) o (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 12600 (base 7) in base 2?\nAnswer: 110100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.6 times -97\nAnswer: -640.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60792.\nAnswer: 2, 3, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 18*x - 16. Let r be a(20). Suppose r = 7*b - 3*b. What is the second derivative of b*o**5 - 7*o**5 + 16*o**5 - o wrt o?\nAnswer: 300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1800 = 2207*h - 2257*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 5\/14, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 311966, 0, -12 in increasing order.\nAnswer: -12, 0, 311966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*a - 24 = 0, 5*a - a = -16. Which is greater: -7\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.39555 to 0 dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.042413 and -13.\nAnswer: 0.551369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 481 divide 211806833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -13. Let k(z) = z**3 + 5*z**2 + 2*z - 5. Let u be k(p). Suppose 0*y = u*y. Solve y = g - 4 - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21968221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p**2 - 36. Let w(y) = -9*y**2 + 46. Calculate 4*d(c) + 3*w(c).\nAnswer: 9*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 65*w**2 - 2)*(1 - 3 + 4) in the form k*w**2 + g*w + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a factor of 143958390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + -2 + sqrt(1300) + 4)**2 - ((-1 + sqrt(1872) + 3)*5*-4)**2.\nAnswer: -749096 - 19160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179072, 358138, 537204?\nAnswer: 716270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 83 - 65*y + 74 - 236 + 79 - 82*y.\nAnswer: y**3 - 147*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -157208400 to the nearest 100000.\nAnswer: -157200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 2*f + 18. What is the remainder when 29 is divided by c(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 379*a + 12. Let s(f) = 759*f + 30. Calculate 5*c(o) - 2*s(o).\nAnswer: 377*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 221 = 381. Solve 0 = -21*u + 11*u + k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 2*s - 18 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**2 - 10*i - 6. Let l(t) = 20*t**2 - 21*t - 11. Determine 6*l(s) - 11*r(s).\nAnswer: -s**2 - 16*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108606 - 108690 = 21*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.103 (b) 0.19 (c) 0 (d) 1 (e) -23 (f) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*v - 146 - 25. Let j = -4.37 - -6.4. Let b = 0.03 - j. What is the biggest value in b, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 4*l**2 + 15*l - 21. Is b(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/10))**(2\/25) assuming g is positive.\nAnswer: g**(-3\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - n**2 + n**2 - 4*n + 72*n**3 - 5*n.\nAnswer: 72*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*(-11)\/616)\/(((-7)\/(-434))\/((-16)\/4))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40605, -81208, -121811, -162414, -203017, -243620?\n\"Answer: -40603*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/95200 and -23\/3060.\nAnswer: 856800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 11:09 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 387945, 387666, 387387?\n\"Answer: -279*j + 388224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 84. Let n = -20 - f. Calculate the highest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10876980 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5*i + 55 = 0, 3*g = 4*i + 1 - 38 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11810087 divided by -17?\nAnswer: -694711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 51*s**2 + 39. Let m(j) = 5*j**2 + 4. Give 2*l(u) - 21*m(u).\nAnswer: -3*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-312 - -325) + -37 + 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*3)\/sqrt(4) + sqrt(76) + 5)**2 + -3 + (0 + sqrt(1539))*-1.\nAnswer: 41*sqrt(19) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0954 and -10489000.\nAnswer: -10489000.0954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 112199, 224397, 336595, 448793?\n\"Answer: 112198*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 348149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*o**2 - 3*o + 3*o - 18*o**2 as q*o**2 + i + d*o and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, 0, -65 in decreasing order.\nAnswer: 2, 0, -0.4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/2839 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -638 + -0.5?\nAnswer: -638.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8300002 + (-1 - (1 - 0)). What is u rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**3 - 1. Let j be q(-1). Let t be 6\/(-21) + (-2)\/j. Suppose -m + 4*r + 127 = 0, -r - 127 = -m - t*r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, p: 3}. What is prob of picking 3 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 - 7. Let x be l(0). Let m(u) = 6*u**2 + 6*u - 6. Let w be m(x). Let a = 5 + w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650 and 245362.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 8*d - 2. What is u(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110 - -11563?\nAnswer: 11673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 247941246432?\nAnswer: -247941246432.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-2)\/(-614) + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smpssssssss. What is prob of picking 1 m and 1 s?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188 - -187.7. Let v be 2\/17*(85 - 86). Which is the nearest to v? (a) 8 (b) 1\/4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**4\/12 + 81*j**2. Let z(w) = 4 + 2*w**2 - 4. What is n(z(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*v - 428 = 2*l, 4*l - 2*v = -428. Let x = 178 + l. Calculate the remainder when x is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Let v(t) = -3*t**3 + 2*t**2 - 1. Let z = -36 + 35. Let u be v(z). Solve b*x + 4*x + u = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (-1 + sqrt(1377))*5)*-6)**2.\nAnswer: -12960*sqrt(17) + 794052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208497 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -c - 1. Let b(n) be the second derivative of -n**5\/20 - 5*n**4\/12 - n**3\/3 - 3*n**2\/2 + 69*n. Give b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17313416 (base 9) to base 7.\nAnswer: 133600131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -663374, -2653581, -5970594, -10614413?\nAnswer: -16585038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-21)*g)\/g*(g**(-6)\/g)\/g assuming g is positive.\nAnswer: g**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 7 + 137. Let d(i) = 13*i**3 + 9*i**2 - 9*i + 11. Let j(k) = 6*k**3 + 4*k**2 - 4*k + 5. Give f*j(q) - 4*d(q).\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-96)\/(-320))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4, -5*d + 0*d + c - 891 = 0. Let f = -106 - d. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 40*c**2 - 4*c + 1. Let h(f) = -79*f**2 + 9*f - 3. Let s(u) = 13*a(u) + 6*h(u). Is s(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 - 362 = -3*m. Suppose -47*l + m*l + 42 = 0. Sort -2, 0.09, l in decreasing order.\nAnswer: l, 0.09, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 2*g**2 - 36. Let t(m) = -5*m. What is s(t(q))?\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 1859?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-45) - (-12)\/(-20)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7*d - 12*d - 3 = 0, -d = -3*u + 39. What is the remainder when 57 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 5*a - 3*l + 13, 4*a - l + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/6 (b) -0.061 (c) 15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2568500?\nAnswer: 2, 5, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6e3 - -11?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvzw when four letters picked without replacement from {z: 2, s: 2, p: 3, w: 4, v: 2}?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -30, 29, 100, 177, 254?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90815419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x**3 + 31329804*x**2 - 12269492196192*x + 26992731195584 = 0. Calculate x.\nAnswer: 11\/5, 783244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 159582060.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabbaaabbabaa. What is prob of sequence bb?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -405.1 - -388. Let n = y + 17. Which is the closest to 2? (a) 0.1 (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.022575733 + -2.231304167. Let b = j + 2.254. What is b rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k + 13. Determine f(-7).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18255*s - 182549. Calculate q(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6492.71162 to the nearest one hundred.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*t**4 - 190762*t**2 + 16459*t - 16.\nAnswer: 60*t**2 - 381524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10371737\/170 - 61010. Find the common denominator of d and -1\/102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 258\/13 - (88\/104 - 1). Suppose 13*v - k = 16*v - 4, -5*v = -5*k + u. Suppose 4*r + f - 63 = -4*f, 4*r = f + 45. Solve v = -3*y - y - r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3*i + 0*i)*(-7 + 3 + 0).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3209 bigger than -3208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145552.\nAnswer: 2, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -165*a**3 - 52*a**2?\nAnswer: -990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12168721 to the power of 1\/2, to the nearest integer?\nAnswer: 3488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37923310 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:12 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*l + 136*l + 31*l = -8165 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 6*g - 45 = 0. Suppose -2*r = -g - 17. Calculate the remainder when 63 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1*(-28)\/(-7))\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*r = 2205*r + 37584 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1099591.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*58557.\nAnswer: 17567.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8660 is divided by 1216.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 1:10 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10*z - 13. Suppose -2*b = -0*b + 14. Let f(q) be the third derivative of -7*q**4\/24 - 3*q**3\/2 - 38327*q**2. Calculate b*f(a) + 5*j(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -7200, 23, 3 in descending order.\nAnswer: 23, 3, -4, -5, -7200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8176677 is divided by 34212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8780*g**3 + g - 20254 wrt g?\nAnswer: 52680*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-901.\nAnswer: 63.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 10701571 and 10701570 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14110 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a + 3. Let g(c) = 4 + 3 + 4*c - 7. Give g(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 26*l - 18. Let j(t) = -t + 2. Let v(m) = -2*j(m) - w(m). Let r = -25 + 19. Let g(n) = 2*n + 3*n + 0*n - 3. Give r*v(y) - 28*g(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) + 5\/10. Suppose g = v + 6*v - 231. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 616?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d = 0. Let z be (d + 2\/5)*10. Solve 3*c + 0*o - 31 = 5*o, z*o = -2*c - 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + ((-32)\/112 - 74\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588544?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 6 + 0*n**3 - 2*n + 3\/2*n**4 + 0*n**2. What is the first derivative of u(a) wrt a?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 966 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 1, e: 1, o: 1, i: 1, r: 1}. Give prob of picking 1 w and 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.1 + -47. Let j = p - 3.4. Suppose 14*q + 20*q = 34. Put 0.04, q, -5, j in descending order.\nAnswer: q, 0.04, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7426*j = 7302*j - 2604 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/1161 and ((-10)\/(-54))\/(-16 + 25 + (-316)\/40).\nAnswer: 12771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 26969*z**2 - 310*z - 26971*z**2 + 15.\nAnswer: -2*z**2 - 310*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2 + 1504214586*k + 188555126727929283 = 0. What is k?\nAnswer: -250702431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppg. Give prob of sequence gpp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1044\/1735 or 2?\nAnswer: 1044\/1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -42, 7524, 3 in decreasing order.\nAnswer: 7524, 3, 0, -7, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 452 + 490 + 463 - 1437.\nAnswer: d - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3504 less than -1.18?\nAnswer: -1.5304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 335*m**2 - 5230*m + 11840.\nAnswer: -5*(m - 2)*(m + 32)*(m + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 636501, 636503, 636505, 636507?\n\"Answer: 2*h + 636499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:45 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - a. Let u = 2 + 1. Suppose u*s + 4*d = -2*s + 22, 4*s + 5*d - 23 = 0. Let m be t(s). What is the highest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 2?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10098.5 - 0.4?\nAnswer: 10098.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -665 + 699. Let m be (-1 - -1) + -2 + 308. Calculate the highest common divisor of d and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -25*g**7\/42 + g**6\/15 + g**3\/6 + 81*g**2\/2 + 538*g. Find the second derivative of h(u) wrt u.\nAnswer: -500*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -3\/20*s**5 + 0*s**2 - s + 0*s**3 + 0 - 1\/12*s**4. What is the third derivative of y(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*y = -0*y + 18, 2*y + 28 = 4*u. Suppose -o + 2*o - u = 0. What is the greatest common divisor of o and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 11*i**2 + 14*i + 6. Suppose 0 = 5*u - 3*u + 20. Let p be v(u). Let r = p - -101. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 < 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8733186 and 2247?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 946*m + 63567.\nAnswer: -(m - 1009)*(m + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/3)\/(13\/((-39)\/2)). Which is the nearest to -1\/2? (a) 5 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-80)\/28)\/(4\/(-14)). Suppose 2*u = -b, -4*w + 3*u + 9 + 14 = 0. Is w bigger than 27\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j - 3. Is x(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3022232*h**3 + 1810*h**2 - 2*h + 27.\nAnswer: -18133392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyxzzjzlz. What is prob of picking 1 j and 1 x?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**5\/20 - z**4\/12 - 5*z**3\/6 + 156*z**2 - 3*z - 7. What are the prime factors of r(0)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2560 a factor of 73075050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.06, 0.3, -3 in descending order.\nAnswer: 0.3, 1\/7, 0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 11.8. Let s = z - -0.1. Let k = s + -2.3. Which is the nearest to 1? (a) 0.1 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppuppupdduduuudu. Give prob of sequence ppu.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -153 + (11 + -12)\/(-2 - -1). What is p rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from yazazzyz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, 6, 2, -17, -89\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k + 5*d - 26 = 0, 5*k - 5*d - 10 = 0. Find the third derivative of 380*r**2 + 417*r**2 + 19*r**k - 769*r**2 wrt r.\nAnswer: 456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -895 and -5.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -1.6. Let h = n - -1. Let q = 0.5 - h. What is the third smallest value in q, 1\/3, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-1)\/(-3))\/(11\/66))\/(-2). Let j be 0\/21 - (-1 + o)*1. Factor 0*t**3 + 3\/7*t**4 - 9\/7*t**j + 0 + 6\/7*t.\nAnswer: 3*t*(t - 1)**2*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-3) - (-6)\/18. Suppose 7*h - 2*h = 60. Let r = h - v. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1289412386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 11 - 1. Let t(p) = -p**2 + 27*p + 58. Let s be t(29). Suppose 5*g - u*n - 892 = 0, 2*g = -s*n + 4*n + 354. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10984450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 2973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1756952 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1157\/(-195) + 6)\/((-1)\/9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -4)*-2 + 4. Suppose k*i - 36 - 176 = 2*h, -3*h + 417 = 4*i. Calculate the least common multiple of i and 35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7239*z**2 - 1438*z - 14742323 wrt z.\nAnswer: -14478*z - 1438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1098 + -1094. Let i(h) be the second derivative of 10*h - 5\/12*h**o + 1\/20*h**5 + h**2 + 2\/3*h**3 + 0. Calculate i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/5 + (-96)\/(-20). Let u be (-6)\/3*f\/(-10). What is the units digit of u - (-5 - (-10)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-26)*28 + 94\/(-611). Let m be (-4)\/(-8)*(z + 6). Which is the second smallest value? (a) -1 (b) m (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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 g(n) be the first derivative of -n**3\/3 + 23*n + 433. Calculate g(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5554 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 862040, 862922, 864392, 866450, 869096?\n\"Answer: 294*z**2 + 861746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468, 2062, 4732, 8484, 13324, 19258?\nAnswer: 26292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + (1*sqrt(1300))**2)*-5 + -5)*-6.\nAnswer: 39174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let q(c) = -c**2 + 115. Determine w(q(u)).\nAnswer: -u**2 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*m, 0 = -5*l + 10*l + 4*m + 65. Let t be (l + 2 - -2)*324\/(-10). What is the second derivative of -t*b**4 + 170*b**4 - 10*b + b**3 - b**3 wrt b?\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*(-1 + -1))\/2. Differentiate 3*b**2 + 28 - 205*b**4 - 3*b**v + 246*b**4 with respect to b.\nAnswer: 164*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11427 bigger than 5049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-14)\/12*2*120\/(-2240)*8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**5 + 2196*q**4 + 258332*q**3 - 11735668*q**2 + 139852416*q - 439546880 = 0.\nAnswer: -293, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 14136415?\nAnswer: 5654566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**4\/22 + 92*s**3\/33 - 492. Determine r, given that q(r) = 0.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:20 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6410 and 16590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 388, 382, 376, 370, 364?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v. Let h(i) be the third derivative of -i**4\/4 - 51*i**2. Let u(r) = -7*r. Let m(c) = -6*h(c) + 7*u(c). Determine m(k(t)).\nAnswer: -39*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. Let c be (10\/6)\/5*93. Suppose -t*k + c = -3*k. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.3 (c) 0.5 (d) 2\/15 (e) -12 (f) -2046\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 12*m + 5*w + 50, -2*m - 4*w = 30. Sort -0.5, m, -0.2, 3.\nAnswer: m, -0.5, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 - 4.97. Let i = 5891.8 + -5893. Which is the nearest to 0.1? (a) i (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128*x**2 - 108*x wrt x?\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11020010021 (base 4) to base 8.\nAnswer: 5100411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 + s**5 + 132*s**3 - 5026*s**4 - 3*s**5 - 450*s - 104*s**2 + 5062*s**4 = 0. Calculate s.\nAnswer: -3, -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-16)\/(-10))*(-822)\/685?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 40031326.\nAnswer: 1\/40031326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3652.\nAnswer: 1\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 110, 161, 198, 215, 206, 165, 86?\n\"Answer: -g**3 + 2*g**2 + 60*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616 + 269 = 109*l - 96 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -1, 6, 14, -568 in ascending order.\nAnswer: -568, -4, -3, -1, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdhfhhdffhff. What is prob of picking 2 d and 2 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i**3 + 17*i**3 + i - 13*i**2 - 3*i**3 - 3*i**4 in the form k*i + d*i**3 + g + y*i**2 + a*i**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241298?\nAnswer: 2, 3, 127, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 7. Let r = 27 - q. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 1355d?\nAnswer: 1355b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*l - 128 = 0, -b + 57 - 1 = 2*l. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/99 (b) -4 (c) 1 (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 14 = 11. Suppose -8 - 22 = -l*s - 2*j, -5*s + 3*j = -30. Solve -s = -3*f + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {x: 2, f: 2, m: 2, u: 3, i: 1, p: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2171.57 + -2104. Let c = q + -69. What is c rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.14 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p - 38 = -60*p. Sort p, -44, -3, -5, -2 in ascending order.\nAnswer: -44, -5, -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/5 - 5982*j**2\/5 + 168672*j\/5 - 1183448\/5 = 0?\nAnswer: -3019, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/7 + 641\/70. What is the common denominator of -167\/690 and j?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 297, 451, 607?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1382.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 586 = -174. Let g be y + (-2)\/2 + 2. Is ((-5)\/15)\/(1\/g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c5 (base 16) to base 15\nAnswer: -d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242858684 to the nearest integer?\nAnswer: 15584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.166 - -4.266. Which is greater: -30\/11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -221\/243600 and 51\/800.\nAnswer: 487200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0 + 0)*(-11*m**3 - 5*m**3 + 5*m**3)*(0 - 2 + 1)*(-m + 5*m - m).\nAnswer: 33*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*s**5 + 2374*s**3 + 225438*s**2 wrt s.\nAnswer: 480*s**2 + 14244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3689 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -20*f. Let x(v) = -2*v**2 - 10. Determine x(h(d)).\nAnswer: -800*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -368091467 + 82639.\nAnswer: -368008828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 168982*z**2 + 168979*z**2 - 33 - z as g*z**2 + t + y*z and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 4. Suppose 26 = 2*z - 4*p, 4*p = 3*z + 18 - 59. Suppose -n + w + 0*w = -z, 2*n + 4*w = 0. Let y be r(n). Sort -1\/2, 0.4, y.\nAnswer: y, -1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 511510 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.362.\nAnswer: 0.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*q - q - 16 = 0, -r + 2*q = 9. Let o(s) = -r - s - 5*s + 0*s**2 + s**2. Suppose 4 = -0*g + g. Give o(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985919?\nAnswer: 11, 47, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 6 = -3*y, -32 = -5*p + y - 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 306.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65 + 240b?\nAnswer: 2366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41*1 - (8 - -117)\/(-5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 7. Let v(c) = -43 + 10*c**2 - 34 + 77 - 12*c**2. Give f(v(i)).\nAnswer: 4*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556662301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) + -2)*-6 - (-5 + (sqrt(76) - -2*sqrt(76))))*-4)**2.\nAnswer: -39168*sqrt(19) + 1580560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.66 + -20.6. Let t = l - 0.06. Let z = 8 - 3. Sort z, -1, t.\nAnswer: -1, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(4935\/(-10) + 0). Let u = z - 1402. Suppose 4*k - k - u = -4*b, -4*k = b - 393. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 2*t**2 + 6*t - 11. Give j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-2\/11)*i**(-4\/13) assuming i is positive.\nAnswer: i**(125\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**6\/120 + c**5\/4 - 7*c**4\/6 + 16*c**3\/3 - 185*c**2. Let n be g(13). Solve 14*u - 17*u = n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0066 > 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 3*w**2 + 0*w**2 + (0 + 0 - 5*w)*(-23*w - 31*w + 112*w) + (-3*w**2 + 4*w**2 + w**2)*(0 + 0 - 1) in the form k*w + d*w**2 + p and give d.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 20 - 268. Suppose -72 = -0*h - a*h. Solve -13 = -h*b - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10150067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -250 + 0?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51038 and 676?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - 23 - (5 + (68 - (-1 + 3))).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 5\/3, -1\/2, 1\/3.\nAnswer: -6, -4, -1\/2, 1\/3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -3\/10*q**6 + 1\/6*q**3 + 0*q**5 + 0*q**2 + 0 + 0*q**4 - 16*q. What is the second derivative of k(t) wrt t?\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(5 - 2))\/2. Suppose 2*p = l - 44, 0 = -l - g*p - p + 38. Suppose 3*q + 176 = 4*m + l, 2*m + q - 78 = 0. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8029884?\nAnswer: 2, 3, 181, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**2 + 4*m - 7. Let d(c) = -6*c**2 + 3*c - 6. Calculate 5*d(t) - 4*n(t).\nAnswer: -6*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111\/405 + (-4)\/54?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6644 and 9664?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18263\/17 - 1074. Let t be 0\/(-3) + (-141)\/561. Let r = t - b. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -172, -492, -1116, -2146, -3684?\n\"Answer: -17*g**3 + g**2 - 2*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -26 - (-44 + (42 - (-44 - -41)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0.16192781212?\nAnswer: -1.16192781212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -21. Let z(f) = 5 - 6*f + 7 + f**2 - q. Let o be z(7). Calculate the highest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/33)\/p**(6\/7))\/((((p**1\/p)\/p)\/p)\/p*p)**2 assuming p is positive.\nAnswer: p**(740\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 9) to base 12\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8177131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -359.6 - -440.6. Is -6 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*r + 2*r + f, -207 = -4*r - 5*f. Factor 45*d**3 - r*d - 72*d - 5*d - 75*d**2 - 5*d**4.\nAnswer: -5*d*(d - 5)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from {q: 4, z: 5, n: 1, f: 6, b: 4}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4223*l + 1477. Calculate v(1).\nAnswer: -2746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 374*o + 34969.\nAnswer: (o - 187)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35021, -34971, -34919, -34865?\nAnswer: -34809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47.8738 - -47.6. Round h to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2. Let f(s) = -s + 1. Let b(h) = -4*f(h) - 2*l(h). Suppose 4*a = 2*r - 36, -4*r = -2*a - 18 - 36. Let y(q) = q**2 + r*q**2 - 11*q**2. Give y(b(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 19*a**2 - 7*a - 9. Let s(z) = z**2 - 10*z - 6. Let q be s(13). Suppose 0 = -6*b - q - 15. Is h(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5680, 0.01, 321?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1110 and 3885.\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 7:22 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 173 + -79. Suppose -7 + 1 = -3*g. List the prime factors of -5*(a\/10)\/(g\/(-6)).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -416 - -415.92. What is the second smallest value in o, -2\/9, 0.03, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 21*r**2 - 22*r + 34. What are the prime factors of s(15)?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6847, -6847, -6845, -6841, -6835, -6827?\n\"Answer: u**2 - 3*u - 6845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 4:47 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 369 = -327. Suppose 8*j - 1302 = -i*j. What is the smallest common multiple of 24 and j?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/((-33)\/(-102)) + 2. Let d be (20\/(-16) - -1) + (-104)\/x. Solve 16 = 3*j + i + i, 2*i - 4 = d*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 160 = -2*l. Let s be 1069\/(-20) + (-10)\/l. Let a = -53 - s. Sort 0.7, a, -0.1 in increasing order.\nAnswer: -0.1, a, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*j + 3 - 2*j**3 - 4 + 2*j**4 + 4*j**3 - 15*j in the form b*j + k*j**4 + t + a*j**3 + u*j**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2711143?\nAnswer: 17, 101, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*s + s + 42*s)*(-2*s - 2*s + 6*s)*(1 - 14 - 2).\nAnswer: -2160*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.1. Suppose -3*g - 2*g + 15 = 0. What is the second smallest value in v, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -236 + 72. Let n = -496\/3 - i. Which is the third smallest value? (a) n (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2\/10 - 13*h\/5 + 5\/2 = 0.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*x - 1 + 72*x**3 - 143*x**3 - x**2 + 70*x**3 as z*x**2 + t + o*x**3 + k*x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1283*v + 3733 + 23210 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49850 + 49856.4942. Let k = h + -6.5. Round k to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*d - 100, 41*d - 37*d + 32 = s. Solve 5*n = -2*a - s, n + a - 18 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/70 + 58\/5. What is the greatest common divisor of 102 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1297*p + 1491 = -1150*p - 126 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 9:42 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*h - h + 6, 5*b + 30 = -5*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11130301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3\/4 - 173061*q**2\/2 + 72784845*q\/4 - 955735200 = 0.\nAnswer: -115584, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -347072702*o**2 + 91*o + 647555?\nAnswer: -694145404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(175) + 1 + (sqrt(175) - -1*sqrt(175)*-6) - (0 + (sqrt(175) - (sqrt(175) + 0)*4)))**2.\nAnswer: 30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 8:25 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -110, -11, 198, 559, 1114?\nAnswer: 1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (-2 - -1)) + -1 + (127 - 137).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2406 in -5\/2, -1489, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)*k\/(k**(-2)\/k))**(-2\/23) assuming k is positive.\nAnswer: k**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 1\/7, -4403\/6 in decreasing order.\nAnswer: 1\/7, -39, -4403\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1735 or -1?\nAnswer: -2\/1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -31131555 (base 7) in base 5?\nAnswer: -1132103131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtyntnmyndttmtd. Give prob of picking 1 d, 2 m, and 1 y.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*((-1*sqrt(1573) + sqrt(1573))*5 + 4 - 3*(-5 + -4*sqrt(1573))))**2.\nAnswer: 45144*sqrt(13) + 2041852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8382.\nAnswer: 2, 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**3*r + 1216*p**2*r + 2*p*r + 81*r + 18 wrt p?\nAnswer: -6*p**2*r + 2432*p*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615123.\nAnswer: 43, 37561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -57 - (-914 + 827)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, f: 1, v: 4, t: 1, w: 2}. Give prob of picking 3 v.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2 (c) -1.03 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 5*f)*(-f - 5*f + 0*f)*(1 - 1 - 7*f)*(-f + f - 3*f).\nAnswer: -504*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000868 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 110*q**2 - 65*q - 33. What is the units digit of h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005496612221 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202402 is divided by 202397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*(-1590)\/(-212)*(-4)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 6*f**2 - 6*f + 10. Let v be (-25 + 3)\/2 - (-5 - -1). Suppose 3*o + 2*o = 30. What is the remainder when o is divided by c(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -70*t + 81. Is u(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 330 and 327 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453021065?\nAnswer: 5, 7, 127, 101917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 20 = -3*o, -1002*o = -998*o + 6*v - 120 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llj when three letters picked without replacement from {j: 1, k: 1, e: 2, y: 1, l: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 2*a - 6. What is the units digit of n(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t - 2*b = -26, 2*t + b = 24. Let w(q) = q**3 - 4 + 0*q**3 - 2*q**3 + t*q**2 - 9*q. What is the units digit of w(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -4*f - 12, -1309*z + 1310*z = 4*f + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 860580?\nAnswer: 1721160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 43*a**2 + 42*a + 50. What is the least common multiple of c(42) and 180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**5\/7 + 110*a**4\/7 - 86*a**3 - 2186*a**2\/7 - 570*a\/7 + 900\/7 = 0.\nAnswer: -2, -1, 1\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + 5*z + 3. Let f be x(-3). Suppose 17 = -4*j - 5*a, -4*j + f = a - 6*a. Calculate the smallest common multiple of 30 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -344 - -347. Suppose 5*l = 2*y + 4, d*y + 9 = -4*l + 3. Factor l - 7\/8*p**3 - 1\/2*p**2 + 3\/8*p.\nAnswer: -p*(p + 1)*(7*p - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011393 rounded to four decimal places?\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34717 is divided by 224?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28402 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f - 51. Suppose 0 = 21*v - 16*v + 40. Let z be i(v). Put 17, 3, z in ascending order.\nAnswer: 3, z, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -81, -344, -783, -1398, -2189, -3156?\n\"Answer: -88*n**2 + n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*w + 734, -4*w = 4*q - 0*q - 968. Factor 4*x**3 - 99 - 26*x + q + 218*x + 52*x**2.\nAnswer: 4*(x + 1)*(x + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 208*u + 2*u**3 + 215*u - u**2 - 543*u**4 + 210*u - 844*u + 212*u as b*u**2 + t + z*u**4 + a*u**3 + m*u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 13.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -150001*r**2 + 6*r - 8. Let t(s) = -s + 11. Let l be t(8). Let a be c(l). Round a to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*h = 53*h - 36 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*k = -594*k + 26009 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -32857*u. Let z(p) = 11*p**2 - 63. Calculate y(z(t)).\nAnswer: -361427*t**2 + 2069991","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97 * 0.42827.\nAnswer: -41.54219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 3*s**2 + s + 3. Suppose -b - 1 + 3 = -2*m, 2*m - 2 = 2*b. Let d be h(m). Solve -2*a + 6 + d = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 944728867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 91728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040536 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 2*g**2 - g**2. Let b(r) be the third derivative of -r**5\/20 - r**2. Give b(n(i)).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214007511\/1391302 - 3\/126482. Let m = 154 + x. Let i = 4.4 + -1.4. Sort m, i, 5 in increasing order.\nAnswer: m, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 3*c + 3. Let x be b(-3). Does 6 divide 35\/x - 2\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 235*t - 45. Suppose 0 = s + 3 + 4. Let n(r) = -78*r + 15. Let k(h) = s*n(h) - 2*x(h). Is k(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-8)*m*m\/(((m\/((m*(m\/m**(-5\/3))\/m)\/m))\/m*m)\/m) assuming m is positive.\nAnswer: m**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 - -5.1. Let j = -1.3 + l. Let n = -5 + j. What is n rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/6 + 3 + (-4)\/6. Suppose r = -28*m + 21*m - 224. Let c be 1\/(-15)*80\/m. Sort c, 4, 5 in increasing order.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 18. Let f = -1 + 2. What is the third smallest value in 2\/13, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1314 divide 342441540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1 - g - 1. Let b = 29 + -22. Let z = b - 6. Calculate j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 2*v**3\/3 - 2560*v**2 + 3276800*v - 9345. Solve j(o) = 0 for o.\nAnswer: 1280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 129. Let c(w) be the second derivative of 68 + w + 0*w**2 + 1\/3*w**3. Determine c(a(r)).\nAnswer: 4*r - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3506*y**3 + 11*y**2 + 15*y - 475. Let z(t) = -701*t**3 - 2*t**2 - 3*t + 96. Let d(w) = 2*f(w) + 11*z(w). Differentiate d(h) with respect to h.\nAnswer: -2097*h**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000788 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 divided by -4?\nAnswer: 243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.134201 minutes?\nAnswer: 188.05206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22140, 88550, 199230, 354180, 553400, 796890?\n\"Answer: 22135*m**2 + 5*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - h**2 - 92 + 4522*h - 4520*h to the form r + w*h**2 + n*h and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 869 less than 0.18?\nAnswer: -868.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 80252 divided by 2\nAnswer: 40126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-109763)\/(-38) - 9\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-10)*32\/8)\/(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59.7 + 581.7. Let o = 529 - n. Let q = 2 + -1.6. What is the smallest value in o, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*(40\/810)\/((-8)\/48)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78755.89 minutes in seconds?\nAnswer: 4725353.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and (-11)\/66 + (-110)\/(-12).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b2 - -11e?\nAnswer: 4d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 - 121. What is the second smallest value in 0.5, -0.2, r, 0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -4*g. Let u be 8\/g*8\/2. Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007804 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:59 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -16, -4, -0.3, 2, 4\/45, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 - -45. What is the greatest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2 - 22*g - 11*g.\nAnswer: -33*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/157212 and -26\/83.\nAnswer: 13048596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*((sqrt(133)*-1 - sqrt(133)) + sqrt(133)))\/(sqrt(252)*-2*4 + sqrt(252)).\nAnswer: sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 15) in base 16?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2115*q = 2307*q + 384. Let z = 1 + -0.95. What is the nearest to q in z, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q - 5*x + 136 = 0, 2*q = -5*x - 99. Let b = 42 + q. Let t be (79 + -4)*b\/((-15)\/(-1116)). What is t rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + 1 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5071746 divided by 323?\nAnswer: 15702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 + -154. Let l(h) = h**2 + 6*h - 4. Let n be l(-7). Is 6 a factor of n\/(r\/(-4)) + 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182075 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 81 - 89 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**8\/1344 - l**7\/420 - l**6\/480 + l**5\/120 - 13*l**2. What is i in s(i) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 106 - 10 = 0. Suppose -u - 20 = -12*x. Solve -5\/2*d + 1 - 7\/2*d**x = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243250 divided by -4?\nAnswer: 121625\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 17) + (0 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = 44006. Let r = 31652 - u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, z: 5, r: 1, u: 1}. What is prob of picking 1 z and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w + 333. Let i be n(-27). Solve -q + i = 33 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -779 + 776. Suppose -20 = -r + 6*r. Let c = r - -6. What is the biggest value in 1\/7, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 12*o = 5*i, 0 = -i - 3*o - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u + n + 1131, -5*u - 3*n = -2811. Suppose 0 = -6*m + 60 + u. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 + 1048 - 392 = 105*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*z - 12 - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 11*q**2 - 844*q + 3464. Give g(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 + 2)\/1 + ((-250914)\/(-1))\/38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-29)\/(-4)) + 15\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**5 - 285*f**4 + 257*f**2 + 5614344*f.\nAnswer: -60*f**3 - 3420*f**2 + 514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4524901.1 rounded to the nearest 1000?\nAnswer: 4525000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 5) + 27 - 0. Let i = x - 26. Let c(z) = -2*z - 3. Let t(k) = -10*k - 14. Calculate i*t(u) + 14*c(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**2)\/p)**(-18) assuming p is positive.\nAnswer: p**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 27*z**2 + 31*z + 63. Does 21 divide v(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/((-5934)\/23)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*v + 154, -2*h = 4*v - 0*h - 324. Suppose -v = 2*q - 7*q. Let x = q - 11. Solve -x*y + 1 = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 15476944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 122210341 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18564 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67653343 to the nearest integer?\nAnswer: 8225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.1, -1, -1334?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -111 and 51.641.\nAnswer: -59.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-60)\/70*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. Let x be -3 - (-1 - (c + -2)). Is ((-6)\/9)\/(x\/1266) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93\/80 - 9\/16. Which is the fourth smallest value? (a) 2 (b) -1 (c) v (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4317 < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -28*g**3 - 6*g**2 - 55*g - 20. List the prime factors of h(-10).\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 88*d - 51. Let t be q(-89). Solve -202*y - t = -183*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-15\/7)\/d)\/((d**(-28)\/d)\/d) assuming d is positive.\nAnswer: d**(195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*((f\/((f\/(f*f*f\/((f\/(f\/(((f**(6\/7)*f)\/f)\/f)))\/f)))\/f))\/f*f)\/f)\/f*f*f*f**(1\/4)*f*f assuming f is positive.\nAnswer: f**(263\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2322002 (base 6) to base 13\nAnswer: -42611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohohoooo. Give prob of picking 1 h and 3 o.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(33)\/sqrt(3) - (sqrt(11)*-2 - sqrt(11))**2*3).\nAnswer: -296 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8354 to the nearest 100.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -10.683?\nAnswer: 42.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 349*j - 1011. Calculate v(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61092 - 61075. Let z = -11 + 16. Suppose -d - 4 = -z. Calculate the greatest common factor of d and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8610162, -8610153, -8610144, -8610135, -8610126?\n\"Answer: 9*n - 8610171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10 + 17406*q**2 + 14 - 17390*q**2. Let n(x) = x**2 + 1. Calculate -24*n(z) + t(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 16) in base 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8886 + 3329 + 4823 = -367*z - 1679 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**2 - 4*b**2 + 5*b**2 + (-b + b - b)*(7*b - 16*b + 7*b) in the form v + o*b + g*b**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + k**2 + 1. Let z(i) = 69*i**3 - 4*i**2 + 2. Let l(p) = -2*c(p) + z(p). What is the third derivative of l(t) wrt t?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, 0.3, 1\/6, -7, -0.4 in increasing order.\nAnswer: -7, -0.4, 1\/6, 0.3, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/12, 0.3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3809 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13254*z - 13254*z - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 7 + 10\/3*w**6 - 17\/2*w**2 + 0*w**3 + 0*w + 0*w**4 + 0*w**5. What is the second derivative of z(i) wrt i?\nAnswer: 400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439 - 374 = 65*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 divided by 2?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + -3)\/((-2)\/1). Suppose 4*m + b*f + 0*f - 75 = 0, -4*m = f - 65. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 12:29 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:39 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 51 + (4 + -3 - 2). Let w = -25 + n. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 32 - 14 - 6 - 13. Let o = -5 - -7. Let k(a) = -a + 3 + 3*a - a. Give o*h(m) + k(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.129 - 29.771. Let j = r + 28.9. What is the nearest to 0.06 in 1, j, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 5 + -2)*2. Let d(z) = z + z + b - z. What are the prime factors of d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25919*i + 29701.\nAnswer: 25919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -3*i + 2*d + 57 + 46, -3*d + 48 = i for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 117 - 75*g - 129*g - 70. Is 41 a factor of b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338, -738, -1232, -1826, -2526, -3338, -4268, -5322?\nAnswer: -6506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 5:44 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, -1, 2, 3, 753 in descending order.\nAnswer: 753, 3, 2, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -101, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 3*h**4\/4 - 2*h**3\/3 - h**2 + 21. Suppose 2*w - 10 = 2*g, w - 17 + 3 = 4*g. What is d(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26094430 is divided by 6523599?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2068*c = 2070*c + 42258, -2*c = -2*a + 28176. Is a a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7685.\nAnswer: 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5443219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2 + 2*l + 14. Let b be k(-7). Let o(p) be the first derivative of -1\/3*p**3 + 0*p**2 - 1 - 3*p. Give o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (2 - 0) + -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 5*q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214974796.\nAnswer: 2, 29, 1853231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5595.235 times 4?\nAnswer: 22380.94","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5819020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 7*c**5\/5 - 9*c - 10. What is the derivative of q(m) wrt m?\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h. Let w(n) = n**2 + 71*n - 71*n. Determine w(o(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 5*n**2 - 12*n - 12. Calculate j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -38. Suppose -9 - q = -r. Calculate the remainder when ((-63)\/2 - 2)*-2 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75148900 rounded to the nearest one million?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/5 (c) 6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*x + 76*x + 90*x - 249*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by 996.\nAnswer: -49\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 2. Suppose l - 2*l = -4. Suppose -l*g = -2*g - 4. Let j be y(g). Solve h + j*h = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.1257572\nAnswer: -0.3772716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1026*m**3 - 6*m**2 - 751422?\nAnswer: -3078*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*40\/(-35) - 0\/13. What is the third biggest value in 3, 22, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.05. Let g = m - 4.05. Let s = 532744 - 532744.1. Sort g, -5\/4, s.\nAnswer: g, -5\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12912 divided by -3\nAnswer: 4304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*c**2 + 66*c**2 - 200*c**2 + 74*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 8*h**4 - h**2 - 33*h**3 + 2*h - 4 + 2 + 32*h**3 to w*h**2 + p*h**3 + i + q*h**4 + u*h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/2 + 3*a**3 + 167*a**2\/2 - 264*a - 3872 = 0. Calculate a.\nAnswer: -8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.27 and -9686.36?\nAnswer: 9688.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-2552)\/5 - 2\/5. Suppose -3*p - b = -6*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -30. Solve h = 2*n - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 6:03 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l - 5*l - 10*l - 1)*(0*l**3 - l**3 - l**3).\nAnswer: 2*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:49 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 + 13*x - 16. Let b be o(-7). Suppose b = 4*j + j. Solve j = -d - 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1314, -2617, -3926, -5247, -6586?\n\"Answer: -x**3 + 3*x**2 - 1305*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 31. Let g = 6 + 0. Calculate the remainder when x is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**3 + 2501*d - 2171?\nAnswer: 6*d**2 + 2501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1058 = -5*x - v, -5*v - 1085 = -5*x. Suppose -4*b + 244 = -4*j, -2*j + 0*j + x = 4*b. What is the lowest common multiple of 22 and b\/6 + 4\/6?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 5*x. Let g(p) = 4*p**2 - 6*p. Let z(w) = -5*g(w) - 6*u(w). Let o(a) = -38*a**2 + 69*a**2 - 35*a**2. Determine z(o(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004350898461 rounded to five decimal places?\nAnswer: -0.00435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/6 - 2\/4. Suppose -6*u + 53 = -r*u. Suppose -2*o - u = -3*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/45 in -5, -3, 39?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581921.7 grams in milligrams?\nAnswer: 581921700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**7\/105 + i**3\/6 - i**2\/2 - i. Let t(h) be the first derivative of n(h). What is the first derivative of t(c) wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6874*m - 66996 = -796*m + 343667 + 632457 for m.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4475*d**3*y - 2*d**3 - 23*d**2 + 28 wrt y.\nAnswer: 4475*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose z*r - 43 - 83 = 0. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2032, -4063, -6092, -8119, -10144?\n\"Answer: u**2 - 2034*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**4)\/(k**(-2\/11)*k)*k**0*k**8*k assuming k is positive.\nAnswer: k**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**2 - 4*i - 4. Let k(j) = -j**2 - j - 1. Let a = 100 - 96. Let f(g) = a*k(g) - r(g). Factor f(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k. Solve 3*a - 7 - 5 = k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.05, -958589?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 517\/(-10152)*42*8\/(-14)\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3763.48 + 3835. Let k = 120 - 44. Let o = w - k. Round o to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckeuctculekllke. Give prob of picking 1 u, 1 k, and 1 e.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174 or -0.2291?\nAnswer: -0.2291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-222*t - 17 + t**2 + 222*t + 2*t**3)*(-2 + 2 + 3*t) as l*t**4 + b + g*t**2 + x*t**3 + q*t and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39213, -39215, -39217, -39219, -39221, -39223?\nAnswer: -39225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 734037 >= 734037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 14*p**2 - 11*p - 48. Let u be x(-14). Which is smaller: u or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**3 - 9*r**2 - r + 5. Let n(p) = -19*p**3 + 19*p**2 + p - 10. Let m(t) = -4*n(t) - 9*v(t). Suppose m(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 9. Let f = 0 - s. Suppose -f*u - 14 = -4*z, 3*z = 11 + 4. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neahappnap. What is prob of picking 2 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 + 316 + -1 + 0 + -4 + 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 25*z - 3. Let p(i) = 17*i - 2. Give 8*p(g) - 5*s(g).\nAnswer: 11*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j\/j**(21\/2))\/j*j))**47*j**12\/j**(-28\/3) assuming j is positive.\nAnswer: j**(3371\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/31 + 77\/93. Let d(u) be the first derivative of -y*u**3 + 0*u**2 + 0*u - 15 + 7\/4*u**4 - u**5. Determine q, given that d(q) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 405*r + 28796.\nAnswer: (r - 313)*(r - 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 495, 8\/5?\nAnswer: 495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4701924 is divided by 952?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810373?\nAnswer: 17, 73, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13*n = -16*n + 10, 2*x - 4*n = 0. Sort -1, -11, x, 0 in decreasing order.\nAnswer: x, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*r = -191*r - y + 22, -14*r = 5*y - 130 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*f + 8, 2*f = 3*f - 3*i - 6. Let o(c) = -5*c**2 - 10*c**2 + f*c**2. Let w(h) = 2*h**2. What is o(w(p))?\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*u = 76*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, q: 3}. What is prob of sequence qqc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/2195 and 42\/439.\nAnswer: 2195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1094180.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.26 + -35.34. Let k = o + 37. Which is the third smallest value? (a) k (b) -2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s**4 + 4*s**2 - 5*s - 4. Let f(x) = x**4 - x**2 + x + 1. Let z(y) = -4*f(y) - i(y). What is the second derivative of z(c) wrt c?\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 6252\nAnswer: -68772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (0 - (5 + 12 + -6)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3452, -6904, -10322, -13688, -16984, -20192?\n\"Answer: 3*y**3 - y**2 - 3470*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 139, 200, 255, 304, 347, 384?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 1\/((-2)\/4). Suppose 5*v - 3 = 2*v, 0 = n*r + 4*v - 120. What is the remainder when r is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23873 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + t + 16 = 0, -5*u + 22*t = 23*t - 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 33 = -3*o - 81, -5*n - 4*o = -154. What is the highest common factor of 289 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -538 times 0.04?\nAnswer: -21.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.5, 1\/5, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078255 is divided by 1504.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*f**5 - 39773*c*f**2 + 442*f**5 + 16*f**3*r - 3*f*r wrt f?\nAnswer: 120*c*f**2 + 26520*f**2 + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163841861.\nAnswer: 163841861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynj when three letters picked without replacement from nynjynjn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -1590276, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43000 (base 5) in base 11?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 6, -1\/1278, 4, -220\/3?\nAnswer: -1\/1278","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -35*z**3 + 2*z**2 - 5*z + 3. What is the common denominator of 901\/833*(-1)\/3 and y(1)?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 392.87 plus -0.078?\nAnswer: 392.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -1.414 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**7\/840 - f**6\/180 - f**5\/60 - 3*f**4\/4 + f. Let o(s) be the third derivative of h(s). What is o(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46997401060 rounded to the nearest 1000000?\nAnswer: 46997000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109387?\nAnswer: 109387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4156.63 + -3654.7. Let t = 461.716 - q. Let h = -40 - t. What is h rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 3, -1, 9, -3.\nAnswer: -49, -3, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13919197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31180*b*m + 247310038*b - 9048*m with respect to m.\nAnswer: 31180*b - 9048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 1 = 4*c. Let a be c\/(-16)*-2*0. Solve 0*d - 5*z = 4*d - 37, 2*z - 10 = a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) -393 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5389.\nAnswer: 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 3*q**2 + 12*q - 5. Let s be r(5). Solve a + 4*b = -b + 22, b - s = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 h, and 1 l when three letters picked without replacement from jhlzhhoh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -6\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - (6 + -3 - 2). Suppose k = f + 4. Does 2 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468.2584ml to litres.\nAnswer: 0.4682584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 2*j**2 + 5*j - 2. Let z(k) = -k - 3. Let x be z(-5). Let i be (-1*14\/(-6))\/(6\/18). Suppose i = x*u + 1. Determine o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 19 + (-22 - -11 - 6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 p when four letters picked without replacement from vpjjvvfffvjjfjjfjv?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5121063536?\nAnswer: 2, 320066471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 784082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3818.\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 5. Let x(i) = -i + 1. Let p be (3\/2)\/((-13)\/(-26)). Let f(a) = p*x(a) - y(a). Calculate f(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -57. Let j be (1 - -1)\/k - (5 + -3). Let h = 6.4 + -6. What is the closest to j in -5\/4, -0.5, h?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16838*a**3 + 50522*a**3 + 42*a**2 - 16842*a**3 - 16843*a**3 - 42*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1\/2 (b) 0.3 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 9. Let g(h) = -h + 4. Let a(p) = 5*g(p) + 2*u(p). Let r be a(-4). Let b = r - 2. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**3 + 2*x**3 + x - x**3 + 1 + 0*x**3 + 2*x**2. Let j(i) = 4*i. Let t be j(1). Suppose 5*d + t = -6, 0 = y + 4*d + 6. Determine v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 2\/23 (c) -2\/13 (d) -30 (e) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -187\/573 or -13\/2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {a: 5, q: 1, t: 3, d: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 292, -46, 3, -1, 4 in increasing order.\nAnswer: -46, -1, 3, 4, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1756 - 1522.11?\nAnswer: -3278.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/21)\/x*x)\/x**(-17) assuming x is positive.\nAnswer: x**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + 0 + 1 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/822, -1, -29.5 in descending order.\nAnswer: -7\/822, -1, -29.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11430)\/16002)\/(10\/(-44))?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62090)\/(-1774) + 732\/(-21)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 405, 812, 1219?\n\"Answer: 407*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4752) + (-2*sqrt(4752) - sqrt(4752)) - sqrt(528)*4)\/(sqrt(6)\/(sqrt(8)\/(sqrt(20)\/sqrt(5)))))**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100\/13 - -839\/104. What is the nearest to -0.2 in -4, d, 18\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 295289.9 weeks?\nAnswer: 178591331520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w. Let g(y) = -y. Let z(x) = 3*g(x) - n(x). Let u(q) = -2*q + 6. Let r(s) = 2*s - 5. Let i(v) = 6*r(v) + 5*u(v). Determine i(z(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 5:49 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 3067*c - 46*c + 30 + 12676*c + 12248*c.\nAnswer: 21811*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 909590?\nAnswer: 1819180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 29*i - 5. Calculate the smallest common multiple of v(-15) and (8\/(-10))\/((-12)\/30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20653*k**3*p**3 + 2*k**3*p + 301*k**2 + 2*k*p**2 wrt p?\nAnswer: 123918*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 divided by 3?\nAnswer: 158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*8\/(-84)*3. Let c be (p - (-6)\/3) + -1. Let b(a) = -a**3 + 2*a**2 + 2*a - 3. Let i(t) = -2*t**3 + 4*t**2 + 5*t - 7. Calculate c*i(h) - 7*b(h).\nAnswer: h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 64.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (3 - 18 - (274 - 258))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*f + 10, 7*x = -47*f + 52*f - 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 5*h + 40, 0 = -3*x - h + 108 - 92 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 125, 3 in increasing order.\nAnswer: 3, 5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 7)*421508249\/(-164). Suppose 3*h + 0*h = -2*z + 116942061, 2*h - 77961372 = -2*z. Let n = h - d. What is n rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(125\/(-2))\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26771, 53559, 80367, 107195?\nAnswer: 134043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (1 + -1) - -5. Suppose k*f + 19 + 1 = 0. Suppose 2 = -2*q + 12. Sort f, q, -4 in descending order.\nAnswer: q, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -8) + (-1 - -1) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -19*k - 9. Let l(j) = -3*j - 3. Let b(v) = f(v) - 5*l(v). Let i(n) = 10*n**2. Give i(b(g)).\nAnswer: 160*g**2 - 480*g + 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-6) - 2\/6. Let f(s) = 12*s + 9. Let y be f(-1). Let j be (-5)\/(-4) - (-11 - (y + -9)). Which is the closest to -1? (a) v (b) j (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16511444*r. Let g(j) = 2*j**2. Calculate c(g(q)).\nAnswer: -33022888*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -8*y - 4*u, -205*u - 16 = -2*y + 217*u - 426*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 13775112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from wnwqwcnwpwwpcc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.292329ml?\nAnswer: 0.009292329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1557 - 1546. Let s(j) = -122*j**3 + 2*j + 1. Suppose -2*d = -6, 2*r + 5 = -0*d + d. Let m be s(r). What is the highest common divisor of l and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 26624*v + 88604672.\nAnswer: 2*(v - 6656)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 2.27, -5174\/7.\nAnswer: -5174\/7, 2.27, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 143206*m - 1 + 7.\nAnswer: -143206*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433 (base 5) to base 4.\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3145333 (base 11) in base 2?\nAnswer: -10101001000110111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2 - -2) + 42)*24\/14. Suppose 3*j + 30 = y. Calculate the least common multiple of j and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1257864458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-495)\/63 + 8 - (108\/(-28) - 6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61850 and 1248025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 360 or 14712\/41?\nAnswer: 14712\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.37290967 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k\/(k**(3\/4)*k))\/k))*k)**2*(k*k**(1\/6))**(-40) assuming k is positive.\nAnswer: k**(-289\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7543998*h + 7543980*h - 15087977*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 12*k. Let u(t) = -2*t**2 - 24*t + 2. Let d(c) = -11*a(c) - 6*u(c). Let g be d(-15). Calculate the highest common factor of g and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**2\/2 - 7*b + 11. Let r be a(7). Find the third derivative of l**5 - 3*l**5 + 8*l**2 - 2*l**5 + r*l**5 wrt l.\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-11)*s*s)\/s*((s*s\/(s\/(s**(5\/3)*s))*s)\/s)\/s*(s*s\/s**(-10))\/(s**(-1\/2)\/s))**(-43))**7 assuming s is positive.\nAnswer: s**(-11137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(13))**2 + 0.\nAnswer: 20*sqrt(13) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 177\/21 - (-3)\/(-7). Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 175404.6 months?\nAnswer: 14617.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 6*x**2 - x + 6. Let k be t(6). Suppose 2*o - 4*o + 4 = k. Solve o*j - 6*j = -c - 7, -j + 23 = 4*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58678 = 2108*i - 52795 + 28595 + 75138 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 6*t**2 + 7. Let a be l(-6). Let i = a + -5. Let d(z) = 2*z**2 + 1. Let y be d(i). Solve -5*m + y = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -7*b. Solve w - 5 = -b*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 472*r + 42?\nAnswer: 472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 6. Let z be -4*(1 + -7)\/(-2). Let m = -11 - z. Put -3, m, n in decreasing order.\nAnswer: m, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*q**2\/2 - 128187*q\/2 - 36626.\nAnswer: (q - 18313)*(7*q + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c**3 + 0 + 5\/24*c**4 + c**2 + 0*c. Let r(m) = 228*m - 118*m - 108*m. Give b(r(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 222*s**3 + 9*s + 7. Let o(y) = -221*y**3 - 8*y - 6. Calculate 6*n(r) + 7*o(r).\nAnswer: -215*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 5*r + 6. Let b be q(-8). Let a be b\/(-12)*(-16)\/(-6) - -56. Suppose a*g - 59*g - 16 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/155 and -4\/217?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.2. Let w = 0.1 - l. Let r = -1.02 + 0.02. Which is the biggest value? (a) r (b) 3\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 16*a**2 + 12*a - 31. Let h be i(12). Suppose 12*s = 235 + h. What is the remainder when s is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)\/d*d\/((d*d**(1\/2))\/d)*(d*d**(-3))\/(d*(d*d**(2\/17))\/d)*(d**6\/d**(-1\/7))\/((d*d**(-1\/5))\/(d*d\/(d\/d**(-1))*d)) assuming d is positive.\nAnswer: d**(-5087\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 448\/(-88) + (-24)\/(-4). Which is the fourth smallest value? (a) 2\/13 (b) i (c) 4 (d) -1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*o - 56 = -132*o + 244*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1803075*q**2*r + 9*q**2 + 45571*q*r - 3*q - 34*r wrt q?\nAnswer: -3606150*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*l - 2169988, 0 = 3*y + 3*l + 759285 + 542724. What is y rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 24.47497um?\nAnswer: 24474.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11651\/3366 - 117\/34. Let w = 138 + -2068\/15. What is the second biggest value in 1\/8, w, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3088 - -3098. What is the least common multiple of u and 1328?\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -2 (c) -0.3 (d) -1.865\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 17*c - 16*c + 8166, -5*j + 5*c + 13620 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 25 = 64. Suppose -9*a + 76 = -v*a. Let m be ((-20)\/2)\/((-17)\/(-34)). Do m and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -97c (base 16) to base 8.\nAnswer: -4574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4*u + 4, 5*z - 5 = -u - 4*u. Suppose 6 = -0*g + g. Let b(v) = -5*v**2 + g*v**2 + z*v**2. Let x(h) = -h. Determine b(x(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 n when four letters picked without replacement from {f: 1, b: 1, y: 2, s: 4, n: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754281.69 take away 1.1846?\nAnswer: 2754280.5054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 203267660 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (204\/(-1296))\/(-1)*(0 - (-2 - 1)) and -131\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21812367 divided by -45.\nAnswer: 7270789\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 9*q**2 - 24*q - 881. Is t(31) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-2))\/(-3) + 125. Let o(c) = 123*c**2 + c + 1. Let v be o(-1). Let n = b - v. What is the biggest value in 0.5, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Let d(z) = -10*z**2 + 36*z + 6. Let q(k) = -3*k**2 + 12*k + 2. Let o(v) = 2*d(v) - 7*q(v). Let f be o(12). Sort u, -4, f in decreasing order.\nAnswer: u, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 70?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5*-45\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*r + 5. Suppose -2*h + 16 = r*h. Let u = h + 316. What is u rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 6*g**2 - 8*g + 11. Let n be z(-7). Suppose 2*j = 8*j + n. Let k = j + 43. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*4\/(-12) - 1. Let g(h) be the third derivative of k*h - h**2 + 0 + 0*h**3 - 1\/12*h**4. Let b(u) = -8*u. Give g(b(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11001122 (base 4) to base 2\nAnswer: 101000001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/84458, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -10*o**3 + 50*o**2 - 45*o + 10. Let n(r) = r**4 - r**3 - r + 2. Let u(t) = 5*n(t) - q(t). Let u(k) = 0. What is k?\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 1685*w**3 - 5042*w**2 - 6728*w.\nAnswer: -w*(w - 1682)*(w - 4)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 365, -2796, -5969, -9160, -12375, -15620?\nAnswer: -18901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123439\/7 or -2?\nAnswer: -123439\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/12*(-833)\/147.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*a + 4*k = 265*a - 15, 0 = a - 4*k - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -0.5, 58970, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 330*p - 316. List the prime factors of z(7).\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 936504.\nAnswer: 2, 3, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236890 (base 10) to base 12.\nAnswer: -b510a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/5)\/c)\/((c\/(c*(c**(-1\/17)\/c)\/c*c*c))\/c))\/(c**(-12))**(3\/19) assuming c is positive.\nAnswer: c**(4257\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3906*y - 2789. Let k(n) = -n - 46. Let m(w) = -a(w) - 4*k(w). Differentiate m(i) wrt i.\nAnswer: -3902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 345?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -421315.98 rounded to the nearest 1000?\nAnswer: -421000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 240520 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380774579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 5*y**2 + 2*y**2)*((-3 + 6 - 4)*(-7 + 1 + 8) - 32 + 19 + 47).\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1005944419*y**2 + 19*y - 1607703?\nAnswer: 2011888838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583055*i = -582989*i + 1122 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795430?\nAnswer: 2, 5, 7, 13, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -604 - -609. Let w = 1\/448 + -907\/4928. Let p = -14 + 9. Which is the biggest value? (a) w (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s = -21*s + 6*s - 4875. Calculate the highest common divisor of s and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 65, 79, 75, 47?\n\"Answer: -k**3 + 33*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-118 - 34 - 56)*(-d - 1 + 0 + 3*d)*(-3*d - 2 + d + 3) to p*d**2 + r + q*d and give q.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12516)\/(-4917)*(-132)\/(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -77. Suppose -11*h + q = -9*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*v**2 - 709*v**2 - 86*v**3 + 88*v**3 + 444*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 + 8*b - 18. Give r(-6).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-4)*(-32)\/(-36).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -976 - 1368. What are the prime factors of y\/(-26) + (-2)\/13?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5602 is divided by 436.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 242122 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/7 + 6*y**4 - y**3\/7 - 3242*y**2\/7 + 3200\/7 = 0. Calculate y.\nAnswer: -40, -10, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 63 = -5. Suppose 35 = 5*o + 4*h, -3*o - 3 = -3*h - 24. Let l = o + j. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14864\/22287 - 2\/7429. Factor -j*w**3 + 2\/3*w**2 - 8\/3 + 8\/3*w.\nAnswer: -2*(w - 2)*(w - 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 2*s**2 - 2*s + 3. Let g be v(3). Let t(k) = -11*k. Let q(z) = -5*z. Let f(o) = g*t(o) - 13*q(o). Let a(h) = h. Calculate -5*a(w) - 6*f(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 3*s + 3*s**2 - 3*s**2 - 11. What are the prime factors of v(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 269048 - 180531 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7.8, 0.4, -5?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28476 divided by -2\nAnswer: -14238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320) + 2 - sqrt(320))**2 - (sqrt(30)\/sqrt(6) + -4 - sqrt(5))**2.\nAnswer: 32*sqrt(5) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-68))\/1)\/((-48)\/128*2)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 296592, 593807, 891022, 1188237?\n\"Answer: 297215*u - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m**2 - 2*m - 1. Calculate l(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8767500 rounded to the nearest 100000?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7843936 to the power of 1\/2, to the nearest integer?\nAnswer: 2801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -357.46199+-1712828\nAnswer: -1713185.46199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3279897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.8329s in microseconds?\nAnswer: 66832900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(58 - (-3 + 2)). Let z = r - 9. Let t = z + -30. Solve t = -5*j, -2*j + 17 = 5*u - 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4228\/302*((-6)\/21)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.499488 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1428 = 5*d - s - 590, 2*d = -2*s + 812. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3))**(-12)*f**12\/f**17)**1 assuming f is positive.\nAnswer: f**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 28 = -0*i. Let b be 9*1\/(-3)*-1. Solve -b*c + i*c + 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 658 = -3*x. Suppose 0 = -3*m + 7*m + 3*y + x, -4*y = 20. Is 0.14 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 2*g**2 - 4*g + 9. Suppose 4*v = -k - 13, 2*k + 2*v - 49 = -45. Let s(r) = 2*r - 4*r + 0*r + 2. Give k*s(x) + 4*p(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*i + 14 = 0, -13 = -3*y + 3*i - 1. Differentiate 21 + 40 - 156*m**y + 33 + 42 + 29 with respect to m.\nAnswer: -312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/8))**(-10\/7)*(b**22*b)\/b**(-4\/9) assuming b is positive.\nAnswer: b**(5863\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -237 in -0.4, -1, 0, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h + 13*h - 18*h - 6*h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132052333?\nAnswer: 37, 30596009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*y + y + 7, 4*y = -5*r - 2. Let c = r + 0. Let i(f) = f**2 - 4*f**c + 5*f**2 - 4*f**2. Let z(m) = -3*m. Give z(i(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*u + 10, -u + 1 = -x + 6. Which is the nearest to x? (a) 1\/8 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1888 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:57 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 2*s**2 - 9700000. Let r be q(0). What is r rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33\/40 + -5\/8. Let d = -219 - 19. Let p = d - -237.4. Which is the nearest to -0.1? (a) p (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 1649946.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**2. Let z(h) be the second derivative of 7*h**4\/6 + 256*h. Determine k(z(a)).\nAnswer: 1568*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 - h - 272 + 0*h - 458 + 2*h + 997.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {y: 1, l: 2, p: 1, m: 2, b: 1, x: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 5:44 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11240131 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 + -81. Suppose 8 = -28*q + c*q. Suppose 1 = -3*s + q*s - 5*b, -69 = -3*s + 3*b. Calculate the highest common divisor of s and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -202*h + 355*h - 182*h. Let v(x) = x**3 - 7*x**2 + 32*x - 113. Give v(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.048122 - -4.048122. Let m = -2 - -1.8. What is the fourth biggest value in m, -0.06, -2\/13, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302087.\nAnswer: 269, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/12 - 2\/4. Suppose f = -2*j + 7 + 61. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**17*(x\/(x**(2\/3)*x))\/x)\/(x\/((x\/x**(7\/4))\/x)*x*x*x**(-8\/3)*x))**21 assuming x is positive.\nAnswer: x**(-1659\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.006 (b) -0.3 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 + 100010110000?\nAnswer: 100011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 11*m - 72. Let p be a(7). Solve -5*b + p*z = -40, -4*b + 2*z + 22 = -0*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4948 + 4948. Put -33, o, -18 in increasing order.\nAnswer: -33, -18, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2329, -2\/21, 3.6 in descending order.\nAnswer: 3.6, -2\/21, -4, -2329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1801 and 15.\nAnswer: 27015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 p when three letters picked without replacement from iivpsvpppppppswas?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 19*m**2 - 28*m - 31. Let s(d) = -d + 1. Suppose -2 = t + t. Calculate the least common multiple of f(11) and s(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10824 or 10828?\nAnswer: 10828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15529 at most 400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 934952 divided by -38.\nAnswer: -24604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/(-12) + (-12)\/24. Let x = -45\/7 - -211\/35. Let p = -3.2 + 3. Which is the fourth biggest value? (a) x (b) -4 (c) t (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*-1 - 56\/(-2 - -10). Put u, -4, -7, 3 in increasing order.\nAnswer: u, -7, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102637 times 0.85?\nAnswer: 87241.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3711*r**5 - 2*r**4 - 2*r**2 - 19800*r wrt r?\nAnswer: 74220*r**3 - 24*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*n**2 + 194 - 68 - 59 - 69.\nAnswer: -306*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120 - -128.84. Let t = i + -9. Let f = -0.06 - t. What is the nearest to f in 3, -0.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16468*w**2 + 16468*w**2 - 379*w**3.\nAnswer: -379*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1550 + -1545. Let k = -3.8 + 8.77. Let l = k - u. What is the third smallest value in l, -3\/2, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 36*h**2 - 34*h - 4. Let c(z) = -z**2 + 17*z - 1. Give -4*c(l) + x(l).\nAnswer: 40*l**2 - 102*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f - 103. Let n be k(-13). Let m(j) = 6*j**2 + n - 5*j**2 - 1 + 12*j + 6*j. Let z(u) = 3*u**2. What is m(z(t))?\nAnswer: 9*t**4 + 54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 413713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556 divided by -2.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 296101 - 111333893\/376. Find the common denominator of o and 79\/658.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8378619 or 8378624?\nAnswer: 8378619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3222 - 3671 - 255 - 1840 + 390)*(6*w - 3*w + 10*w) to n*w + m and give n.\nAnswer: -111774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 53*r + 82. Is l(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g**3 - 2*g**3 - 1954 + 1954.\nAnswer: 34*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 16*d - 1. Is u(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/23 - (-20)\/(-5)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203436?\nAnswer: 2, 13, 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2 + 5. Let q = -0.2 - 0.3. Let i = -0.3 + 0.5. What is the second smallest value in u, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 512, 796, 1098, 1418, 1756, 2112?\nAnswer: 2486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1257*l**2. Let i(c) = 188*c - 45*c - 49*c - 51*c - 39*c. What is i(m(g))?\nAnswer: 5028*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2749 - 76985\/28. Find the common denominator of m and 115\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 20 = -4*z, 20*z = -4*l + 10*z + 50 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 55. Which is the second biggest value? (a) 1 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -43*g + 37*g. Is g > 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 14 - 3 - 5*a - 11 + a**3. Let q be y(3). Let s = 12 - 9. Solve q = -3*z - s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 16) to base 9.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 7 = t. Let l be (-52)\/12 - t\/(-3). Let p(u) = -u + 8. Let d be p(10). Which is the third biggest value? (a) -1\/3 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose z = -2*y + 69 - 3. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 459, 928, 1419, 1944, 2515?\n\"Answer: 2*d**3 - d**2 + 458*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536695 is divided by 38?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) + (3 - 3). Which is the third biggest value? (a) -4 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 6. Suppose -2*u = -4*u. Let i = u + 7. Suppose -w + 1 = i. Give t(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5621a30 + 8?\nAnswer: -5621a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1040 (base 9) to base 7.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, -5, 10, 3 in decreasing order.\nAnswer: 10, 3, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-10))\/f**8*((f\/f**(-7\/5))\/f)\/f*f*f**(3\/2)\/f assuming f is positive.\nAnswer: f**(-151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -1*sqrt(77)*5)\/(1*4*sqrt(7)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**4\/4 - o**3\/3 + 37*o + 2. Calculate the remainder when m(0) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/18*(1 - 33\/44) and -35\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.83 + 0.73. Let z = 0 - 1. Let u = 1 - z. Which is the third smallest value? (a) 0 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 15*m**2 + 18*m + 10. Let h be y(6). Solve -6 = -h*w + 8*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 47 = -5*x, -5*n = 5*x - 0*x - 25. What is the remainder when 189 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 16) to base 7.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548976873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59769.\nAnswer: 3, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 1\/5 (c) 0.5 (d) -607 (e) -71\/5 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5571970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 39 = -786. Let o = k + 1487\/9. Sort 1\/5, o, -4 in ascending order.\nAnswer: -4, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3451 is divided by 3439?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10 - 11*k + 13*k**2 + 21 - 9. Let n(r) be the first derivative of -7*r**3\/3 + 3*r**2 - r - 1. Give -6*b(g) - 11*n(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14555499 - 6465499. What is c rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(156)*1 + sqrt(156)))\/(sqrt(12)*2*6) + -1.\nAnswer: -sqrt(13)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {j: 2, e: 5, q: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 1551?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 + 30*t**2 + 26*t + 14. Let h(a) = a**3 - 15*a**2 - 13*a - 7. Let z(q) = 2*d(q) + 5*h(q). List the prime factors of z(-15).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(1\/8))\/x**(-13))**48)**(-18) assuming x is positive.\nAnswer: x**(-11988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 90. Let y be 8\/k + 2\/(-9). Suppose y = x - z + 3 - 6, -2*x + 21 = z. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1987272 and -47\/168.\nAnswer: 1987272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69659 - 69637. Let y = -73 + 249. What is the greatest common divisor of y and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2) + (-3 - -10). Let i = f - 1. Find the second derivative of -i - 2*l + 4 - 2*l**2 wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -30140733.\nAnswer: -30140732.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 14) + -72 - (-3 + (1 - 7) + -1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 57.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 2*r**3\/3 - 4*r**2 - 1004. Let u(t) = 27*t. Calculate u(j(n)).\nAnswer: 54*n**2 - 216*n","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 27. Let s be i(-23). Suppose 2*r - 4 = 5*u, s*r - 2*u = 2 + 6. Find the second derivative of 6*l + 12*l + 9*l - 35*l**r wrt l.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 - -27. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 0*x - 20*x**3 - 3*x + 40*x**3 - 23*x**3.\nAnswer: -3*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. Suppose n*i = 49 + 21. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 1. Let k = 136 - 107. Suppose 0 = -4*m + 3*a + k, 4*a - 5 - 3 = -4*m. Let q(t) = 10*t - 2. Give m*j(n) - 3*q(n).\nAnswer: -5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3.9 (b) 1.7 (c) -2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -167.5 - -19.5. Which is bigger: 1\/4 or l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045553 hours in microseconds?\nAnswer: 163990800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -498441767 and 610149.\nAnswer: -497831618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:33 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/9*1 + (86350440\/(-36))\/(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1628 - 0.4628. Let v = 5.4 - 0.4. What is the second smallest value in v, 0.1, p, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 13 - 2 = 0. Let p = 12 + b. What is the highest common divisor of 6 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, x: 6, l: 4}. Give prob of sequence ljxj.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = 5*x - 97, -5*j + 4*x = -485. What is the remainder when j is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (184*m**2 + 487*m - 487*m)*(-32*m**2 - 11*m**2 + 64*m**2) in the form j*m**3 + a + l*m**2 + p*m + b*m**4 and give b.\nAnswer: 3864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 659*k - 166. Let v be b(5). Suppose -10*g - 11*g = -v. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244073973 divided by -177\nAnswer: -1378949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0. Let p = -0.03 - 0.37. Let n be ((-447)\/(-63) + -7)*7. Which is the third biggest value? (a) n (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6757917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 8, 22.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 673\/3 + -220. Calculate the common denominator of -88\/15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (3 + (-26)\/6). Which is the second smallest value? (a) 2\/19 (b) h (c) -4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, s: 1, u: 1, k: 1, p: 5}. What is prob of sequence kpes?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-4)\/(2 + -6). Calculate the common denominator of (-25)\/9 + (d - 2) and 27\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30.81, -3, 5 in ascending order.\nAnswer: -3, 5, 30.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -15, -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266.518 decades in months?\nAnswer: 151982.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8495031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*z + 11, -3*z + 3*f = -2*f + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 681\/7 + -2397\/35. Let a(j) be the first derivative of -8*j + 49\/10*j**4 + w*j**2 - 16 - 182\/5*j**3. Factor a(x).\nAnswer: 2*(x - 5)*(7*x - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*s = -35 - 73, 3*l - 4*s - 76 = 0. Let b = l + -14. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103750310.\nAnswer: 2, 5, 157, 66083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25890 + 48259. Is q a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f + 0*f - 3*f)*(-1 - 2 + 1)*((-3 + 1 + 0)*(3 - f - 3) - 1 + 1 + f)*(-774644*f - 3 + 1 + 771443*f) in the form h*f**2 + u*f**3 + n + m*f and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 2. Let w be 2 + (2 + g - 2). Is w + -1 + 9 + -2 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5909 = -3*y, 5903 = -30*y + 33*y - 5*k. Calculate the lowest common multiple of y and 438.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -37*j**3 + j**2 + j + 1. Give p(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620 divided by -5?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -362, -0.5, 0.4, 0, 9 in descending order.\nAnswer: 9, 2, 0.4, 0, -0.5, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 8*k - 10. Let c be f(-7). Let w = 5 - 0. Suppose w - 3 = 2*s. Put c, s, -2 in decreasing order.\nAnswer: s, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = 4*c. Suppose -4 - 12 = 4*i. Let l(k) = -k - 3. Let n(z) = 3*z + 9. Let s(j) = i*n(j) - 11*l(j). Determine s(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*u - 6*o - 30, -5*u + 4*o = -75. What is the remainder when u is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*n**2 + 3*n - 3*n)*(-7*n + 3*n - 4*n - 3*n + 2*n) in the form h*n**2 + f*n**3 + r*n + k and give f.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isssii. Give prob of picking 2 i and 2 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 6*t + 9. What is i(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(931)*-3 - (-3 + sqrt(931)*3)) + ((sqrt(931) + 1)*-3 - (sqrt(931) + 0 + -2)))**2.\nAnswer: -672*sqrt(19) + 89400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 118*d + 146. Is t(6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 80 = -6*o. Suppose 2 = l - r, 2*l + o = -2*r - 0*r. Let t = 1823.1 - 1823. Which is the third biggest value? (a) t (b) 2\/9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 300\/70 - 5760\/15750\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 516.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 a when three letters picked without replacement from {z: 5, a: 4, k: 5}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -501*z**2 - 36582*z - 176. Calculate d(-73).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-7\/3)*x**(-1\/4))\/((x\/(x**2*x))\/x)**(-2\/89))**36 assuming x is positive.\nAnswer: x**(9663\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(3 - 8\/2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*g + 6 = -71*g. Does 4 divide 40 - 8\/(6\/(g + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1612 - -1637.14. Let u = -25 + g. Let y = 4.86 + u. What is the closest to y in 1\/2, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -22 - (-18 + 20 + 21 + 2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 288\/21 + (-560)\/56 + 4\/14. Put -607, -4, 3, a, -3 in increasing order.\nAnswer: -607, -4, -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 3. Let v(o) = -o**2 - 1. Let c(z) = 2*g(z) + 6*v(z). Let k(u) = 3*u + 2. Let y(h) = 13*h + 9. Let r(n) = 9*k(n) - 2*y(n). Give r(c(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/135 and -88\/593895.\nAnswer: 5345055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19 + 14 = 0. Let t be (-6)\/(-15) - -58*1\/u. Solve -4*w + t = m, -5*m + 2*w - 28 = -0*w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -265\/7, -13.23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1402 + -1401.8. Let f be (2 - 1)*(-1)\/(-5). What is the closest to z in -0.1, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4387, -17490, -39341, -69952, -109335, -157502?\nAnswer: -214465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 6*x - 4. Let t(l) = 61*l + 185. Let r be t(-3). What is g(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 65 + 5 + -10 - 82.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4484397us?\nAnswer: 0.0000004484397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 54140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10175 times 165?\nAnswer: -1678875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 594123421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 14. Let f(m) = 2255. Let w(x) = -398. Let k(u) = -6*f(u) - 34*w(u). Determine -18*k(h) + 2*n(h).\nAnswer: 2*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/54 and (-31)\/(-360)*-4 - -1?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s**3 - 2*s**2 + 3*s - 4. What is the units digit of y(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -33\/3013, 3, 1\/2, -11, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1101323300121?\nAnswer: 1101323300111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5*-1*sqrt(6) - -1*sqrt(6)*-5)\/(sqrt(96)\/sqrt(3) - (sqrt(14)*-2)\/sqrt(7)))**2 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 64*m - 1652. Calculate v(23).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Let x = v + 2. Which is the second biggest value? (a) 2\/5 (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -273.58 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2. Let q(g) = 65252*g. Calculate q(i(x)).\nAnswer: 130504*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {m: 1, w: 1, e: 2, s: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 5, 369.\nAnswer: -4, 3, 5, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one eighths of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-63)\/12 + (-1)\/(-4). Suppose -4*r = -9*r. Suppose 5*q - 3*j - 34 = 0, 2*q - 4 = -r*q - 2*j. Which is the third biggest value? (a) q (b) -2\/9 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 4. Let y(o) = 2. Let i(t) = -t. Let c(k) = -5*i(k) - y(k). Let m(q) = -q. Let h(j) = c(j) + 6*m(j). Calculate 13*h(b) + 6*l(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 423086752 to the power of 1\/2, to the nearest integer?\nAnswer: 20569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 231904?\nAnswer: 2319040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 41. Let g(l) be the second derivative of l**4\/6 - l**3\/2 - l**2 + 3*l. Let s be g(3). Solve -5*h - s = -n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 22*b - 2. Let i be k(10). Solve 4*f + 5*g - i = 0, 3*f = -f - 4*g + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54.1 - 54. What is the smallest value in 6, u, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19536\/5*h + 484\/5*h**2 + 197136\/5 = 0. What is h?\nAnswer: 222\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3503 + 3503. Which is bigger: x or -12.25?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 5 = -55*a + 119 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99484 divided by -2.\nAnswer: 49742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4667*u**3 - 4666*u**3 + 230*u + 107*u - 3*u**2 in the form g + r*u**2 + f*u**3 + s*u and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 17. Let z(v) = -6*v - 26. Give 8*o(i) + 5*z(i).\nAnswer: 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m + 129. Suppose -3*x - 5*h = -63 - 71, 3*x = -2*h + 140. Let b = x + m. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 86 (b) 3\/2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/9*4\/6. Put j, -2\/7, 6, 0.3 in descending order.\nAnswer: 6, 0.3, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*p + 42. Calculate the remainder when 70 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*f**4 + 774\/5*f**3 + 772\/5*f**2 + 0*f.\nAnswer: 2*f**2*(f + 1)*(f + 386)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670422207?\nAnswer: 3, 7, 13, 419, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149458.\nAnswer: 2, 74729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0165 + -3.3935. Let n = s + 0.41. Put -1\/2, n, -0.1, 1 in ascending order.\nAnswer: n, -1\/2, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 46*k**2 + 2*k + 67. Calculate j(-46).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1104212 (base 6) to base 4\nAnswer: 31201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 10. Let l be d(-8). Let b(p) = l*p - 5*p - p - 4 + 2*p. What is b(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20604 by -6868.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/7998 and 36\/1333.\nAnswer: 7998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z**5 - 2*z)*(2 - 5 + 2) - 3 - 2*z**5 + 3 - z**5 + 4*z**5 - 5*z**5 - 5*z**5 + 0*z**5 + 2*z**5 - 2*z**2 + 6*z**2 - 45*z**5 - 28*z**3 + 44*z**5.\nAnswer: -9*z**5 - 28*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 1, 4 in decreasing order.\nAnswer: 96, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746707500?\nAnswer: 2, 3, 5, 7, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99042199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -181 - -163. Which is smaller: -21 or w?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s**4 - 81*s**2 + 15*s + 1. Let i(q) = -11*q**4 - 80*q**2 + 15*q + 1. Let o(v) = -5*i(v) + 4*x(v). Find the second derivative of o(k) wrt k.\nAnswer: 180*k**2 + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, t: 4}. What is prob of sequence tdt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 80 = 570. What is the remainder when -3 + -1 + w\/(-13) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91\/4 + 811\/36. Let t = 3 + -4. What is the biggest value in t, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 5*r - r)*((1 - 1 - 2)*(-2 - 3 + 6) + (-4 - 5 + 4)*(6 + 2 - 3)).\nAnswer: -54*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1096\/(-72))\/((-4)\/6). Let f = t - 23. Which is the second biggest value? (a) f (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2312010?\nAnswer: 2, 3, 5, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877513 is divided by 2925.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0*t + 1\/3*t**3 + 1\/8*t**4 + 0 - 1\/60*t**5 + 2*t**2. Give c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 393272 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emm. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 2.\nAnswer: -7, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + -2*(sqrt(91) - sqrt(91)*3) + sqrt(91))\/(4*sqrt(28)\/sqrt(4)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*m = -828. Let o = m + 207. Solve -4*g = 2*u - o*u, -u + 5*g + 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.15, -3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 40*a - 60*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:20 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i. Let c = 50 + -399\/8. Let m(h) be the third derivative of -c*h**4 + 0*h + 0 + 0*h**3 - h**2. What is m(d(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004717 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 10060 = -17438. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(540)\/(sqrt(18)\/sqrt(2)))\/(sqrt(1728)*-2 - sqrt(1728)).\nAnswer: -5*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - sqrt(56)\/(sqrt(4) - sqrt(64)))\/((sqrt(84)\/sqrt(4))\/sqrt(3)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 - 458*q\/11 + 908\/11.\nAnswer: 2*(q - 227)*(q - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*s - 2 + 18, -2*s + 14 = 3*b. Let k be 6*((-21)\/(-9) - b). Is k*-51*1\/(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 6:50 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x + 1. Let v(j) = -24*j. What is the units digit of v(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -357 + 357. Which is the third smallest value? (a) o (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718738 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 d(f) = 160*f - 3 + 163*f - 327*f - 4. Let o(t) = 2*t + 3. Give 3*d(j) + 7*o(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + a - 60, 12 + 0 = -r + 5*a. Does 2 divide (6\/(-4))\/(9\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-3\/7)\/y)*y*y*y*y*y)\/y)\/((y\/(y*y\/(y\/(y\/y**(-4\/3)))))\/y))**(-3\/5)*(y**5\/(y\/(y*y\/y**(5\/3))))**(8\/9) assuming y is positive.\nAnswer: y**(-379\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33405820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 5:03 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.56. Let v = p - -0.04. What is the biggest value in -2, v, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2960561, -23684635, -79935703, -189477263, -370072813, -639485851, -1015479875?\nAnswer: -1515818383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16299567 + 28958.\nAnswer: 28957.83700433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -560965 and 2.7.\nAnswer: -560962.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 9 = -4. Let o = -9 - -5. Let k be 2\/o + 7\/10. Is k greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -n + 16. Suppose 6*o + n = 7*o. Suppose 2*x - 55 = -o. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14124448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 150 + 150.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-513))\/((-184)\/276))\/(1\/(-12))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lltt when four letters picked without replacement from ltlgmguxgmgggmmggtuu.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -592 and -359468536.\nAnswer: -359469128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1122\/99)\/(54\/6075*-15)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*s**2 - 1 + (3*s - 6*s + 6*s)*(-4*s + 3*s - s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7529, -15053, -22563, -30053, -37517?\nAnswer: -44949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**5\/20 - z**4\/6 - 2*z**3\/3 - 6*z. Is 7 a factor of v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) 5 (c) -0.0063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2538, 10762, 24688, 44334, 69718, 100858?\n\"Answer: 3*k**3 + 2833*k**2 - 296*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugyvgygvuggvguyyvxgu. Give prob of picking 2 g and 1 v.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 6*a + 3*a - 12*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 21, 40, 67, 102, 145, 196?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 4. Let f be k(5). Calculate the smallest common multiple of (40\/f)\/(7\/21) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 20. Suppose -12 = 4*y - 5*q - n, 0 = -2*q + 8. Let r(u) = -4 - u**2 + 6 - 4*u**2 + 6*u**y. Calculate r(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*10\/(-2)*(-936)\/(-341640).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 7*s**2 + 6*s - 20. Determine t(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.4. Let z(w) = -14*w - 227. Let c be z(-16). What is the third biggest value in c, 2\/7, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-8) - 290\/(-8) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b + 52*b = 14. Which is smaller: -6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, q: 4, d: 3, k: 6, f: 1}. Give prob of sequence kxqx.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 37*x - 188. What is the remainder when g(23) is divided by 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 7*r - 9. Let c = 20 + -5. Suppose -c = y + 2*y. Let q(u) = 6*u**2 - 22*u + 28. Let x = -3068 + 3052. Calculate x*b(k) + y*q(k).\nAnswer: 2*k**2 - 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56\/(-476) - 6887\/(-17) is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**3\/3 - 337*d. Let f(m) = 5234*m. What is f(g(y))?\nAnswer: 10468*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 13. Let l = 0 - m. Let g = -4202 + 4202.2. Which is the biggest value? (a) -3 (b) g (c) -4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279172 (base 15) to base 5\nAnswer: -441410312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119390138?\nAnswer: 2, 7, 8527867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3\/5 (c) -2 (d) -3\/8 (e) -449\/7 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/216 and -103\/1904.\nAnswer: 51408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1413\/17 + 83. Which is the closest to -0.1? (a) 5 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = 0, 0*h - 5*u - 54 = -3*h. Suppose h = 5*s + 3. What are the prime factors of -3 + 9 - s\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/17172 and -79\/276.\nAnswer: 394956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 25 = 4*h. Suppose -4*v - 20 = 0, 2 = -b - h*v - 12. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12770244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (38 + (10 - 21))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 3}. What is prob of sequence zz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**4\/4 + q**3 - 4*q + 15. Let o be n(-6). Let c = 184 + o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*j**3 - 3*j + 47084*j**2 - 47084*j**2 + 0*j - 1 in the form r + m*j**2 + l*j + x*j**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18730 and 2?\nAnswer: 18730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 21313?\nAnswer: 21322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, 3\/8, 3, -4, -0.4, 204, 32?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:00 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 399, -6, 17 in descending order.\nAnswer: 399, 17, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 227, 136, 9, -166, -401?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1131 - 289. What are the prime factors of w?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8302717.\nAnswer: 8302717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = -9*a + 150. Suppose -i = 13 - 42. Suppose -u = a*s - i, s - 3 = 4*u - 14. What is the third biggest value in s, 0.1, 2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 19195 = -5*s. Let j = s - 1669723\/87. Let m = j - 17\/6. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9564*c**5 + 16*c**4 - 4*c**2 - 23609?\nAnswer: -573840*c**2 + 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 16678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2956 - 284 + 1715)*(-3*n**2 + 0*n**2 + 0*n**2).\nAnswer: -13161*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 71\/5 of a tonne?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u + 164*u = 122*u - 12519 for u.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2812, 2390, 1250, -968, -4624, -10078?\n\"Answer: -60*t**3 + t**2 - 5*t + 2876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/15 - 5*m**4\/24 + 7*m**3\/2 - 27*m**2. What is the remainder when 205 is divided by w(3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9914551 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(105\/12)*98\/84.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 22. Sort -0.07, d, 3, -1 in decreasing order.\nAnswer: 3, d, -0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14488064 (base 9) to base 16\nAnswer: 6de9eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -485593 or -8740679\/18?\nAnswer: -485593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 65478.\nAnswer: 130956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, k: 2, a: 10}. What is prob of picking 4 a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + d = 7, 339*z + d = 334*z + 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.34611637 and 2.9.\nAnswer: -4.44611637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -373886*t**4 - 55*t**2 - 78064*t + 405.\nAnswer: -4486632*t**2 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.71 in 1\/5, 13, 5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5460 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.77 times -8.1\nAnswer: 6.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -550, -559, -588, -649, -754, -915?\n\"Answer: -2*q**3 + 2*q**2 - q - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spsssucssccp. Give prob of picking 2 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(18)\/(-1*sqrt(6)) + 1)**2 - 6*(-1 + sqrt(27))*4) + -5.\nAnswer: -72*sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -1, -1\/4, 86, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 275*a + 230. Let n(y) = 183*y + 154. Let p(t) = 8*n(t) - 5*o(t). Differentiate p(m) wrt m.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0164500319 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 5:25 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 7*d**2 + 65*d + 343. Determine c(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614722943?\nAnswer: 614722943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 + -59. Suppose 4*b - o = -b. Calculate the remainder when 28 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2545 - 8*k**2 - 2545.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 84*k + 1. Let w(d) = -28*d. Let q(n) = 8*w(n) + 3*z(n). List the prime factors of q(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 34*p + 106. What is the units digit of f(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o**2 - 2*o**3 + 4*o + 222 + 9*o**2 - 223 in the form w*o**3 + g + a*o + f*o**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x + 10*x)*(-9*x**4 + 6*x**4 + 6*x**4).\nAnswer: 45*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -28 - (-129 + 79).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -9\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 30*o - 29*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cppjppppppppcpcp. What is prob of sequence ccpc?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -617481661.873.\nAnswer: -617481659.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7392.1 + -7392. Which is smaller: -3.632 or x?\nAnswer: -3.632","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -454, -492, -406, -208?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 54. Let r(o) = o**3 - 21*o**2 + 59*o - 110. Let w be r(18). Give a(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - q**2 + 3*q - 1. Let j be n(1). Let w be (1\/(-4))\/((-2)\/4). Is j at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172145498?\nAnswer: 2, 7, 12296107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 56.93. Put w, 1, -0.2, -0.3 in descending order.\nAnswer: 1, w, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1945 or -5833\/3?\nAnswer: -5833\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 - 190606*v\/5 - 1334291\/5.\nAnswer: (v - 190613)*(v + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 0.4, -5, 9\/59, 4, -1048, 0?\nAnswer: 9\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-13 + 10)) + 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -108 - 205248?\nAnswer: -205357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/56 + 18\/16. Let m be (-20)\/36*(-52)\/(-130)*6. What is the biggest value in 2\/9, m, t, -201?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - 1.9. Let b = -0.4 - v. Let j = 1.92 - b. Round j to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -125*q**4 - 228*q.\nAnswer: -1500*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 103 = l, -12*y - 4*l + 82 = -9*y. Calculate the remainder when 108 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*m + 1118 = 249*m for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10873 and 393?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 4*c + 34, -4 = 4*c + 25 - 13 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42, -169, -380, -675, -1054?\n\"Answer: -42*a**2 - a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 13. Let d be -3 - -1 - g\/1. Let a = d + 8. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341201 + 3200101?\nAnswer: 2303400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 3518 - 879 - 872 - 889 - 871.\nAnswer: d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44250, -88508, -132766, -177024?\n\"Answer: -44258*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5906.19 in 1, -0.032, -5, 1\/6, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13770 (base 9) in base 6?\nAnswer: -111230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {c: 1, p: 1, t: 1, v: 1, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 275866, 552071, 828276, 1104481, 1380686, 1656891?\n\"Answer: 276205*m - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c. Let k(q) = 10*q. Let y(b) = 7*h(b) + 5*k(b). Let r(f) = -18*f. Calculate y(r(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7488 + 7488 - 1005*z + 887*z.\nAnswer: -118*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3 - 11*n - 10*n**3 + 7*n wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:20 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680 + 24 = -4*w. Differentiate 984*i**4 + 0*i**2 + 0*i**2 + w - 951*i**4 - 3*i**2 with respect to i.\nAnswer: 132*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(130) + sqrt(130)*3 + sqrt(130)) + sqrt(130) + sqrt(130) - sqrt(130) - sqrt(130)*-4*1)\/(sqrt(810) + sqrt(810)*2 + 4*sqrt(10)*3).\nAnswer: 25*sqrt(13)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312 - 197 - 115 - 4*j + j + 5*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -19.5. Put q, 4, 1 in decreasing order.\nAnswer: 4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7866161 and 117576?\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = -2*a, a + 0 = -3*c + 3. Let q(j) be the first derivative of 1\/2*j**4 - 1 - 1\/3*j**3 + 0*j + a*j**2. What is the third derivative of q(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**3 - 198*n**2 + 2*n + 173 wrt n.\nAnswer: 36*n - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-1)**2*-6 + sqrt(2700) + -1.\nAnswer: -1153 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -981, -3443, -7547, -13293, -20681, -29711?\nAnswer: -40383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5632 or 5631?\nAnswer: 5632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*w + 0)*((-1 - 2 + 4)*(-w + 3*w + 0*w) - 2*w + w + 0*w)*(-2 - 4 + 4)*(53 + 9 + 3).\nAnswer: 390*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4\/3 + 41863*w**3\/3 - 145993709*w**2 - 3068254535*w\/3 + 3506193800\/3 = 0.\nAnswer: -8, 1, 20935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1120 and 6804.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 3*r + 16. Let a be c(-5). Let s(u) = 167*u + 40. Let d be s(a). Suppose 4*n + 4*y = 290 + 750, 4*n + 3*y = d. List the prime factors of n.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 824 = 2*d, 2*d - 5*j - 1081 = -266. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) - (sqrt(2) - (sqrt(2) + 1 + sqrt(2) + 1 + sqrt(2)))))*-2.\nAnswer: 4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -24, -4, -3, 5 in decreasing order.\nAnswer: 8, 5, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -29466013 > -29466015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 10*v**2 - 26*v + 16 = 0.\nAnswer: 1, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 5) to base 14\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 163978624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9117403 to the power of 1\/2, to the nearest integer?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*j - 1 - 13*j + 32*j)*(6*j + 2*j - 4*j).\nAnswer: 12*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1884\/8 + 1 + (-6)\/(-12). Let a = x + -228. Solve -4 = -g - a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/6*(-112)\/6. Suppose 168 = 2*l - t - 0*t, a = l - t. Suppose -12*j = -14*j + l. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 2*x - 9. Let f be d(-4). Let k = f - -22. Suppose -k*s = 0, 0 = 2*a + a + 5*s - 9. Solve -n - a*n + 20 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 8. Let z be (u + 1)\/((-2)\/8). What is the highest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 - 6 - 15 + 20 + 25*h - 2*h**2 to the form k + c*h**2 + m*h + o*h**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12967*m*o + 30*m - 174 wrt o?\nAnswer: -12967*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/11*f**2 - 6\/11 + 2\/11*f = 0 for f.\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**8\/8400 + o**6\/900 + o**4\/24 + 13*o**2. Let x(f) be the second derivative of h(f). Solve x(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/17)\/((d*d*d**25)\/d) assuming d is positive.\nAnswer: d**(-440\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.18. Let d = r + -0.02. Put d, 1, 4\/9 in decreasing order.\nAnswer: 1, 4\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 122498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - n = 7*b, 6 = -4*b - 2*n. Let g(w) = -2*w**2 - 5*w - 4. Let z(a) = -a**3 - a**2 - 4*a - 3. Determine b*g(u) + 4*z(u).\nAnswer: -4*u**3 + 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 933 - 931. Suppose -i*x + 7 = h, -35*x - 3*h = -39*x + 9. Let -2\/3*d**4 + 4\/3*d**x + 2\/3*d**2 + 0 - 4\/3*d = 0. Calculate d.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355779311 is divided by 177889649.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7006 divided by -40?\nAnswer: 3503\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 3*g**2 - 4*g - 4. Suppose 2*z - 46 = -5*v, v + 58 = 4*z - 2*z. Suppose 6*y + y = -z. Determine x(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1302 - -0.15\nAnswer: 1302.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -857954 + 610954. What is g rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5*h - 7640, 4*h - 2*h + 6 = 0. Let m be (-435)\/36*(6 - (-8656)\/72). Let k = g - m. Is 0 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6148 = -b - 4*c, -2088 = -3*b - 6*c + 16320. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 6, v: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7)*j**(-9) assuming j is positive.\nAnswer: j**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4\/7, -6\/7 in decreasing order.\nAnswer: 4\/7, -6\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1839292 and 2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10136 is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y**2 + 357*y + 513. Calculate m(41).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.7 - -3.89. Let k = b - -4.81. Sort k, -1, -3.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*g = -611*g - 24*g - 323*g - 56440 for g.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21052555*k**2 + 24151607 wrt k.\nAnswer: -42105110*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109*n**6 - 2*n**5 + 5*n**3 + 3301*n**2 - n - 1 wrt n?\nAnswer: -13080*n**3 - 120*n**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -6\/29, 0.0647187 in decreasing order.\nAnswer: 0.0647187, -0.2, -6\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**4\/4 - a**3 + 3*a**2 - 7*a + 81. Suppose 3*r - 2*m = -268, 4*r - 3*m - 8 = -367. Let y be 2\/(-9) + r\/18. What is x(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761875 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -166 + 4?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**3\/3 + 9*c**2\/2 - 3*c - 8. Calculate b(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 91 in decreasing order.\nAnswer: 91, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051*n + 2*s + 265 = 1056*n, 4*n = -23*s + 89 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:04 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*d - 37*d + 3311. Let j = d + 21. What are the prime factors of j?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**2 - 3*n + 3. Let l(m) = -7*m**2 - 2*m + 2. Let z(k) = -7*l(k) + 5*u(k). Let h be z(0). Are h and -2\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 2) + -24 + (55 - 33)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29547 is divided by 9834?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-22))\/((-263)\/2893*2*1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (2 - 2\/1))\/(4\/98). Solve -25*n - w = 101 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 4*n**2 - 6*n - 11. Calculate v(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2542.408036 and -5552.\nAnswer: -3009.591964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-1)\/y)\/(y\/(y\/(y**(-6)\/y)))*y**6*(y**(-5)\/y)\/y)**45 assuming y is positive.\nAnswer: y**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5490620 to the nearest 10000.\nAnswer: 5490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1373334 and 34\/9.\nAnswer: 4120002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 88*n + 968.\nAnswer: 2*(n + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17332\/240 + 10\/15. Let m = -404\/5 + i. Calculate the common denominator of -29\/88 and m.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 1, -14, -47, -104, -191, -314, -479?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(14\/49)\/((-1)\/7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4\/g)\/(g*g*g*g*(g\/(g*g**(-1\/6)))\/g))\/(g**4*g*g\/g**(2\/3))*g**5\/g**0*g**(1\/5)*g*g*g*g**(-4)*g*g assuming g is positive.\nAnswer: g**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/107100 and 109\/210?\nAnswer: 107100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - g + 292 = 0, 2*n + 3*g - 728 = -3*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*d, 3*d = 132*j - 128*j - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -2) + -166*4\/160. Suppose -2*q + 20 = -5*u, -5 + 21 = -q - 4*u. Is q equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 36 + 2*n - 36)*(-4 + 5 + 0).\nAnswer: -2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066378 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*p + 5*f + 93, 0 = p + 3*f - 23. What is the remainder when 21 is divided by (p\/((-17)\/22))\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = r - 29. Let h = -183 + 311. Calculate the greatest common factor of h and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 0.1. Let n be 6\/(-4)*(-8)\/(-18). Let d = 21361\/18 - 2373\/2. Sort u, d, n in descending order.\nAnswer: d, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.03 (c) 9 (d) 0.4 (e) -7653 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*t - 581 + 7159 = 14*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 341 (base 6) to base 13\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1344 to 3 decimal places.\nAnswer: -0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*y + 66*y - 3*y**3 + 72*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.85861 nanometers to centimeters.\nAnswer: 0.000007685861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/1336039 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3058360 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -96 + 67 + -53 - -87\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 - 8431*g - 8433. Give a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*(sqrt(99)*-3 - sqrt(99))*4)\/(4*3*(sqrt(1296) + 2*sqrt(1296))))**2.\nAnswer: 1100\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.001 - -21.999. Let g = -22.3 + d. What is the nearest to 2 in 0.3, g, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 954612 and 742476.\nAnswer: 6682284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = l - 4*m - 44, 116 = 5*l + m. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c**4 + 0*c**4 + 2*c**4)*(c + c - 4*c + 2) + (-21*c**3 - 29 + 29)*(4*c**2 + 2*c**2 - 5*c**2).\nAnswer: -5*c**5 - 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 6*c**2 - 4*c + 14. Let d be r(6). Calculate the least common multiple of 16\/(-12) - d\/3 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -5598.\nAnswer: -1\/1866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 2*v**2 + 2*v + 2 + 5*v - v**3. Let u be s(-5). Let k be (-3)\/(-12) - (-2)\/u. Sort k, 2, 1.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 75 = 2*t + y, -2*y + 146 = 4*t. Let f = t + -11. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2\/5 (b) -300 (c) -106.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkgkgxgkfkfxkkg. Give prob of picking 2 k.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 169008.\nAnswer: 1521072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 289 = 2*g + 2*h, -4*g - h + 377 = 0. What are the prime factors of g?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-0.12.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lye when three letters picked without replacement from {w: 3, e: 8, h: 3, z: 2, y: 1, l: 1}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*6*-4)\/sqrt(12).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 26614000 to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -15*c**2. Let y be r(1). Let l = 55 + y. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 1:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, 4, 2, -5 in ascending order.\nAnswer: -5, 2, 4, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**4 - 7500*b**3 - 1091270*b**2 - 2160060*b - 1076285 = 0. Calculate b.\nAnswer: -1337, -161, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.3 + 15.8. Let k = 3 + -3.3. Which is the nearest to -2? (a) k (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 + 23*z + 2*z**3 - 220*z**2 - z**4 - z + 2 + 220*z**2 as s + u*z**2 + a*z + r*z**3 + n*z**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4139 is divided by 1472\/(-80)*(-15)\/2?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3986 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 11:43 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (6 - 5) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 7*t - 2. Suppose 28*b - 31*b = 18. Calculate j(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46315212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*i + 3*d, 17 = 140*i - 137*i + 2*d. What is the greatest common divisor of 749 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15725)\/34)\/37*(-2)\/7. Is u greater than or equal to -0.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 = -i + 6*i. Suppose 2*j - 7 = 4*v + 1, 2*v = -5*j - 16. Let g = v + 14. What is the greatest common divisor of i and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4609 - -4614. Let k = -5.1 + 1.1. Let y = k - -4.4. Which is the nearest to -1? (a) y (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 6*r + 6 - r - 4 + 2*r + 4 + (2 + 0 - 4)*(3 - 3 + 2*r))*(-r - r + 4*r) to q*r**2 + o*r + f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1611836 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 minus -755.782?\nAnswer: 755.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*v**3 + 0 - 2\/3*v**2 + 10\/3*v + 2\/3*v**4.\nAnswer: 2*v*(v - 5)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 45 = -3*y, 0 = -2*b - 3*b - 15. Calculate the highest common divisor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 9:43 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(1\/3 - 1). Suppose -u - 4*r = -2*u - i, 3*u - 3 = 3*r. Let z be u*2*(1 + 0). What is the highest common divisor of 32 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -55401895?\nAnswer: -498617055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Suppose 5*o = -x + 18, -6 + 0 = -2*x. Find the third derivative of -2*a**3 - 3*a**o + 8*a**3 + 4*a**y wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -53*q**2 - 2*q - 5. Let j(h) = 266*h**2 + 10*h + 26. Calculate 2*j(c) + 11*u(c).\nAnswer: -51*c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*y + 137170 = 1324*y - 197*y. Let n be (-1)\/(1 + (-276)\/275). Calculate the highest common factor of n and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8744 in -3\/5, 3\/8, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 3\/7 (b) -2 (c) 2 (d) -2.1 (e) -4\/65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9404.19526 and 0.2?\nAnswer: 1880.839052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*v + 97*v - 138. Calculate the greatest common divisor of 23 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqy when three letters picked without replacement from {y: 1, f: 1, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-2*3)\/(sqrt(40)*1) + sqrt(26)\/(-5*sqrt(50))*-3.\nAnswer: -72*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b + b - 19*b in the form k*b + f and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433, -1711, -3833, -6793, -10585, -15203, -20641, -26893?\nAnswer: -33953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 184*q + 767. Determine b(-96).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Let j(b) = 6*b**2. Determine j(o(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3398.9155 + -12.457523\nAnswer: -3411.373023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640569.\nAnswer: 3, 213523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-5 - 24)\/(-58). Let l be 8*((-2)\/4)\/(-1). Suppose 5*i - 64 = -l*b, -4*i - 2*b - b + 51 = 0. What is the highest common factor of i and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -22. Suppose -3*c + 36 = -b*c. Which is greater: -10 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -433 divided by -106\nAnswer: 433\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218891133?\nAnswer: 3, 17, 476887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6) + 1)\/(4\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((1\/(-12))\/(15\/(-45))). Suppose 9 = 3*z, n*z - 5*z - 7 = w. What is the third derivative of -3*k**4 + 4*k**w + 31*k**5 + 3*k**4 + 8*k**2 wrt k?\nAnswer: 1860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*69\/161?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4499*q - 4485*q - 14 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 323 - 2. List the prime factors of 15\/(-2)*(-78)\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5045?\nAnswer: 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 - 0.4. Which is the nearest to -6? (a) l (b) 1\/4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o - 275. Determine f(-39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, u: 6, j: 4, v: 3}. Give prob of picking 1 a, 1 u, and 2 j.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 743759449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3262*n**3*v**2 + 29336*n**3*v - 145*n**2*v**2 - 16*n**2*v - 2*n*v**2 - n - 7*v - 2 wrt n?\nAnswer: -19572*v**2 + 176016*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + 40. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3261 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-11)\/(33\/(-6)) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(720)*2 - sqrt(720) - (sqrt(720) - (sqrt(720) - -1*sqrt(720)*6))) + 5*(sqrt(245)*2 - -2*sqrt(80)) + -2)**2.\nAnswer: -1940*sqrt(5) + 188205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 86*x - 34. Let v(j) = 14*j + 10. Calculate v(c(u)).\nAnswer: 28*u**2 - 1204*u - 466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + 1 - 1)*(-3*s + 4 - 2 - 3).\nAnswer: -15*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*j**3 - 160*b**3*j**2 - 48*b**2 + 3*j**3 + 4 wrt b.\nAnswer: -12*j**3 - 960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, 766.\nAnswer: -3, 13, 766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4)*x)**(-2\/45))**(-1\/6)*(((x**(-3\/7)\/x*x)\/x)\/(x**(-1)*x))\/(((x*x**0)\/x)\/x**(-2\/7)) assuming x is positive.\nAnswer: x**(-2153\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -51*o**3 + 33*o**2 + 385. List the prime factors of s(-11).\nAnswer: 11, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6557, 6578, 6599, 6620, 6641?\n\"Answer: 21*l + 6536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*h - 8 - 16, 3*a - 17 = 2*h. Let i(f) = -106*f - 1089. Let u be i(-11). Calculate the greatest common divisor of a and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geqqznqqz. What is prob of sequence zz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 13*r**7\/14 - 4*r**3 + 21*r - 2. Find the second derivative of h(c) wrt c.\nAnswer: 780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 18\/869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5608350 - 0.3.\nAnswer: -5608350.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94797800 divided by -730.\nAnswer: 129860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 43627*x + 14461524.\nAnswer: -(x - 329)*(x + 43956)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1925, 80 in increasing order.\nAnswer: -1925, -4, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**2*x**3 - 2*u**2*x**2 - u**2 + 41*x**4 - 5*x**2 wrt x?\nAnswer: -6*u**2 + 984*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3229*v**2 - 2608*v**2 - 4*v + 5804*v**2.\nAnswer: -33*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/9 + -25\/36. Let l = -145 + 132.4. Let p = l - -7.6. Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/6*y**2 - 1\/3*y = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -91*o**5\/5 + 463*o**4\/6 - 94*o + 2. What is the third derivative of p(c) wrt c?\nAnswer: -2184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -1680*s**2 + 18352323*s - 32772 = 0.\nAnswer: 1\/560, 10924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6298, -12601, -18904?\nAnswer: -25207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12160116 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -38708 divided by -4\nAnswer: 9677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - -206)\/(-3 + (-136)\/(-40)). What is the highest common factor of v and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 2*w + 97 = 0, -2 = -2*w. Let l = s - -21. Solve r - 6*r = 2*o - 15, 0 = l*r - 5*o + 23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 2:01 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 8, 3, -2, -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20907 + 71*d**2 + 68*d**2 + 20907.\nAnswer: 139*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -905 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose -5*o + 20 = -2*l, 4*o - 5*l - 16 = -l. Suppose -t = r - o. Solve 5*h - 7 = -3*s - r, h = 4*s + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 316032308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-73)\/(-146)*(-2 - (-2311)\/(-14)). Let f = v - -590\/7. Determine i so that 1\/4*i + 3\/4*i**3 + 0 + f*i**2 + 1\/4*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7395769 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**4\/2 - 5*c**3\/3 + 2*c - 554. Let f(m) = -5*m**3 + 14*m**2 - 5. Calculate -3*f(x) - 8*t(x).\nAnswer: -x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n*n**0)*n)*n*n**7*n*n**(-5)*n*n\/n**(1\/8)*n*n**(-6\/7)*n*n*n*n*n**(-1\/4)*(n\/(n**(2\/13)*n)*n)\/n*n*n*n**(-3) assuming n is positive.\nAnswer: n**(6271\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 11. Let f be q(-5). Suppose 0*z + 2*z = f. Find the third derivative of -x**2 - 2*x**z - 4*x**3 + 2*x**3 + x**3 wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -54549.\nAnswer: 9\/6061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6130000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**3*q**2*r - 63*k**3*q*r - 22*k**3 + 11*r wrt q.\nAnswer: -4*k**3*q*r - 63*k**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*z + 309*z = 347 - 1222 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -c + 2*k, 3*k = -c + k + 13. Suppose -3*f + 51 = 3*s - 6*s, 3*s = -12. Solve 0 = -n - 4*w - 2 - c, -w = 2*n + f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*h - 5 + 6 - 204*h + (3 + 0 - 5)*(-3 + 3 + 2*h).\nAnswer: -240*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34908989, -69817981, -104726973?\n\"Answer: -34908992*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -3.58045\nAnswer: 1.790225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = 20. Factor 2 + 8*q + 6*q**2 + 2*q**4 + 11*q**2 - 5*q**2 + y*q**3.\nAnswer: 2*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, -0.04, 1, 0.2, 2 in ascending order.\nAnswer: -0.04, 0.2, 1, 1.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.097 + -57.903. Let u = 58.000019 + w. What is u rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1562?\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.239225 + 0.398334. Let r = 0.159 - t. What is r rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180420354.\nAnswer: 2, 3, 17, 589609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13110101 (base 4) in base 14?\nAnswer: acc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -85*w**3\/3 + 4078. Let n(i) = -i. Determine n(b(g)).\nAnswer: 85*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 582191 - 1164390 - 101*b**2 + 582199. Let n(k) = 18*k**2 + k. Give n(z(r)).\nAnswer: 183618*r**4 - 101*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1 + (3 - 3 + 2)*(8 - 1 - 2))*(0 - u + 0).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*w - 10. Solve 3*n = n - w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -424 - 206. Is 1 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43874158 by -866.\nAnswer: -50663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3576*k**2 - k**4 - 4*k**5 - 3626*k**2 + k**4 wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 12:29 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -677 + 330?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, 0, -0.4, -2\/43, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -19556\nAnswer: 1368.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 2*a + 2*a)*(-73*a**2 - 17*a**2 + 204*a**2 + 1) as f*a + w*a**2 + n + t*a**3 and give t.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 103, 110, 117, 124?\n\"Answer: 7*x + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.03727 * 0.7\nAnswer: -0.026089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.4, 3, 1105?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -51*(12\/((-3)\/1))\/2. Suppose 4*w = -10 - t. Let d = 1 + w. Is d != -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b0ab (base 12) in base 15?\nAnswer: 40e78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1) - (-1 - 1). Let a(k) = 75*k**2 + 3*k - 3. Let u(s) = 4*s + 8. What is the remainder when a(m) is divided by u(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -0*v - 2*v. Solve v = t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35867*j**2 + 85878*j**2 + 0*j - j.\nAnswer: 121745*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133 - -135. Which is the smallest value? (a) v (b) 6 (c) -0.4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5605861 (base 10) to base 3\nAnswer: -101112210210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -730 divided by 16871.\nAnswer: -730\/16871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.086 + 0.386. What is the closest to -1 in l, 4, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 3, 2, 26\/7, 4 in increasing order.\nAnswer: -6\/7, 2, 3, 26\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503399 is divided by 187?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 o when three letters picked without replacement from {o: 2, i: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(4\/1))\/(28\/((-1176)\/(-2583)))?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103189175 is divided by 2796?\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 624860, 624848, 624836, 624818, 624788?\n\"Answer: -c**3 + 6*c**2 - 23*c + 624878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 872944*s\/3 + 95253903392\/3.\nAnswer: 2*(s + 218236)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 9*u - 8. Let y be x(-6). Suppose 0 = -c + 4*f + 31, 7*f - 11*f - 16 = 0. Calculate the highest common factor of c and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 - 4673439025\/(-1425) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + w. Let g(y) = y**3 - 10*y**2 + 6*y - 28. Let r(n) = g(n) - 2*m(n). Let l be r(8). Calculate the greatest common factor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**5\/60 - f**4\/8 + 9*f**3 + 5. Let a(y) be the third derivative of u(y). Calculate a(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -7, 0, -4.\nAnswer: -29, -7, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13665369 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10873.32047 + -10873. Let m = -0.319 + f. What is m rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let f be (-5)\/(-2 - (1 - j)). Suppose -f = -6*l + l, 3*a + l = 37. What is the remainder when 22 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*f = -95, 0 = -12*j + 17*j + f - 177. What is the smallest common multiple of j and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 77*c + 3463. Give z(65).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2. Let s(y) = y**2 + y + 14111. Determine s(u(i)).\nAnswer: i**4 + i**2 + 14111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*n, n + 4*n - 21 = -2*g. Suppose 2*x = -g*x + 10. Suppose 7*y + x - 37 = 0. Solve y*o + 0 + 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 2*x + 4*x)*(10 + 4 + 0) as s*x + t and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/15764 or 21?\nAnswer: 3\/15764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 9. Let q(j) = -2*j + 6. Let o be q(-3). Suppose -2*r = 2*r - o. Calculate the highest common factor of z and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(-2*o - 3*o + 2*o) + 2 - 2 - 5*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7614 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(-1 + sqrt(931) + -1)*3.\nAnswer: -210*sqrt(19) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 greater than or equal to -2.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18057 + -18536. Let g = 2977451 + -2976971.9318. Let w = g + z. Round w to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704134 divided by -1?\nAnswer: 1704134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44, -78, -112?\n\"Answer: -34*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y - 1)*(-8 - 2*y + 8)*(-6 + 15 - 21) + (1 - 1 + 1)*(-2*y**2 + 3*y**2 + 0*y**2).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 179761397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286673 is divided by 463?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 4*g - g)*(-6 - 13 + 1) to the form i*g + l and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -106*i + 2122. What is the thousands digit of t(-59)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, 1 t, and 1 h when four letters picked without replacement from {l: 7, p: 4, t: 8, h: 1}.\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 11. Let z be k(-9). Suppose t = 5*d + 616025, -1232015 = -2*t + d + z*d. Round t to the nearest ten thousand.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1676*l. Let t(k) = 220*k + 1. What is t(r(v))?\nAnswer: 368720*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -74. Let t = -12.5 + k. Round t to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v - 33*v - 291*v + 3836 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191394423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 <= -25347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51085 + -c3?\nAnswer: -51178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8237 + -13885?\nAnswer: -23233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 44. Let i be m(-13). What is the fourth smallest value in 0.3, i, 4, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 1\/4 (b) -2 (c) -0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/52 - (-46)\/4. Let s(h) = -8*h**2 + 2*h + 172. Let z(v) = -3*v**2 + v + 57. Let x(i) = q*z(i) - 4*s(i). What is the derivative of x(m) wrt m?\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 5*w - 2. Let p be r(6). Suppose p*v + v - 20 = 0. Find m such that v*m**3 - 2*m**4 - 11*m**4 - 4*m**2 + 3*m**4 - 18*m**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104346 and 1606?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36, -13, 26, 81?\n\"Answer: 8*m**2 - m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2.1. Suppose -2*t = -3*c - 1 - 10, -3*t = -4*c - 16. Suppose -5*b - 4*k - 13 = 0, -11 - 13 = 3*b - 3*k. What is the smallest value in x, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(175)\/sqrt(5) - sqrt(35))*3)\/(sqrt(605)*1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = -44*g + 41*g. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 110, 239, 344, 425, 482?\n\"Answer: -12*w**2 + 165*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182 - -176. What is the biggest value in 2\/9, x, -1, -1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czszzsezsmssseksz. What is prob of picking 3 z?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, f: 5, r: 1, p: 1, o: 1, g: 2}. What is prob of picking 1 r, 1 o, and 1 g?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59524\/(-14234) - (-3*1)\/((-3)\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 2647353981?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p + 12*p - 8. Let i be (4 - 4)*p\/(-6). Let y be i*1\/(-4) - (-8)\/4. Which is greater: y or 12\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 1, 63, -62\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 108*w**4 + 457*w**2\/2 - 2*w - 2540. What is the first derivative of z(d) wrt d?\nAnswer: 2592*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*x - 34*x + 92*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 34*w + 205. Let i be m(27). Solve 0 = -n - 20 + i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/61, 0.1, -5, -91, 0.5, -4 in descending order.\nAnswer: 0.5, 0.1, 3\/61, -4, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*(-992)\/31. Let p = 8 - d. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13095*w = 12919*w - i + 172, -w = -3*i - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.132038582 - 1.6562.\nAnswer: -1.524161418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -30232 (base 4) to base 16\nAnswer: -32e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -594 - -598. Which is the biggest value? (a) u (b) -60 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 784?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6 and -61\/1186?\nAnswer: 3558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*r**6 + 4*r**2 + 2*r**2 - r**6 wrt r?\nAnswer: 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286117.\nAnswer: 13, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203853*i + 46592 = 203866*i. Are i and 3586 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12743 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 78*a**2 + 3*a + 3. Let f(w) = -390*w**2 - 17*w - 16. Calculate -4*f(m) - 22*s(m).\nAnswer: -156*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 836 and 643112?\nAnswer: 7074232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 50.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 + 533 = -2*z. Let a = z + -729. Let g be (-217)\/a + (-1)\/7. Is g bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1399, 1613, 1969, 2467, 3107, 3889, 4813?\nAnswer: 5879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -354 + 363. Calculate the smallest common multiple of 240 and p.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 - 6*v**3 + 14*v**3 - 1 - 13*v**3.\nAnswer: -19*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-2))\/((-2)\/(-76)). Let w be ((-85)\/34)\/(1\/6). Let g = w - x. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(22\/(-6534)*-22*6).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 14 + 13*g + 0*g - 2*g.\nAnswer: 11*g + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 7:51 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1158\/78 - 6 - (-2)\/13. Let t(g) = g**3 - 7*g**2 - 15*g - 9. Let q be t(n). Let p be (-22)\/(-4) + 1 - q\/(-12). Solve i + p - 3 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 9 - 24)*(4 + 1 + 0)*(2*m**4 + 33*m**4 + 2*m**2 - 3*m**2).\nAnswer: -7525*m**4 + 215*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12352\/60 - 6\/(-45). Let w = s - 201. Solve -w*y + 13 = -c - 6, -3*y + 3*c = -9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*s + 1334 = 8*u, 331 = u + 3*s. Suppose -u*q = -330*q - 568. What are the prime factors of q?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6700)\/24 + 4\/24. Let m = h + 283. Solve 5*w - 10 = -5*f, w - 3*w + m = -3*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-11466)*-9 + (-14673)\/(-11466) - 2\/13?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8220, -8224, -8230, -8238, -8248?\n\"Answer: -t**2 - t - 8218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 19 = 12*j, 18 = -599*b + 602*b + 5*j for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -4 (b) 5\/92 (c) 25 (d) 1 (e) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2415*t - 28829. What is u(14)?\nAnswer: 4981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 879873977 to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -842365 (base 9) in base 12?\nAnswer: -2016b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -74*n - 37. Let o be p(-6). Suppose o - 141 = 2*f. What are the prime factors of f?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*v - 12*v = -94*v + 648. Sort 45, 1, v, -2.\nAnswer: -2, 1, v, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 3. Let a(g) = g**2 + 3*g - 2. Suppose 0 = -4*b - 5 + 1. Let o(u) = -u**2 - u + 1. Let q(w) = b*a(w) - 2*o(w). Determine q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 102 = 10*b. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19)*-3)**2 + -2 + sqrt(19))*6.\nAnswer: 12*sqrt(19) + 1014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*o**2 + 4*o**3 + 6*o - o**3 - 6*o in the form l*o + c*o**2 + y*o**3 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 856, 3456, 7808, 13906, 21744, 31316, 42616, 55638?\n\"Answer: -t**3 + 882*t**2 - 39*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 4, 49?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1227*f**2 + 111611 - 111611 to z*f**2 + w + n*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238998 and 3111.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-30)*-3 - (4 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73026*i**2 - 33*i + 322?\nAnswer: 146052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 1235*z**2 + z**3 + 1235*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = -35*y - 66. Let j be 2 - 0\/(1 + 0). Solve 0 = j*r + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24de (base 15) to base 6.\nAnswer: -100215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 3 = -11*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, 0.5, 6 in descending order.\nAnswer: 6, 0.5, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -233*v. Let d(y) be the third derivative of -y**5\/60 + 28*y**2. Determine d(w(a)).\nAnswer: -54289*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-172)\/(-36) + (40\/(-36))\/(-5). Solve l + 0 = -f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 0*x + 2*x + (1 + 0 + 2)*(-5*x + 4*x + 2*x) as z + k*x and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -u - 181*m + 177*m, 5*u = -5*m - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 3. Let f be w(6). Suppose 5*h + 3*x - f + 0 = 0, -x + 5 = 3*h. Suppose 0*j + 6900000 = -h*j. What is j rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3048 in 8\/3, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 759495, 3038084, 6835727, 12152418, 18988151?\nAnswer: 27342920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) 1 (c) -1\/9 (d) 0.17 (e) -0.07 (f) -4 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 454.321791 nanoseconds?\nAnswer: 0.0000000000007511934375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 5*a**7\/7 - 5*a**3\/3 - 5. What is the third derivative of k(f) wrt f?\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**2 + 6. Suppose -5*u - 3 = 4*o + 1, 0 = 2*o + 3*u + 2. Let z = 63 - 42. Let b(r) = r**2 + 38 - 18 - z. Determine o*d(q) - 5*b(q).\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -22*l**2. Let w(n) = 0*n**2 - 17 + 9*n**2 + 17. Let o be -7*(-5)\/((-35)\/12). Let u(y) = -2*y + 15. Let c be u(10). Determine c*m(i) + o*w(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5, 0 = -5*w - 0*t + 3*t + 80. Suppose 0 = 2*z + 10, -4*z = -i + 4*i - 10. Calculate the remainder when w is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmpopxpmoio. What is prob of picking 1 p, 1 i, and 1 m?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2178)\/(-77) - (-2)\/(-7). Let r(g) = -8*g**3 - g**2 + g + 1. Let z be r(-1). What is the highest common factor of z and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 58*x**2 + x**3 + 11*x**2 - 67*x**2 - 10*x**2.\nAnswer: x**3 - 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.1795 times -23\nAnswer: -50.1285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-617 - 2) + (-36)\/9 + 2. Let f = u + 3347. What is f rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7526301 + 0.2.\nAnswer: 1.9526301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4212.9 + -4212. Which is the nearest to h? (a) 1\/3 (b) -10 (c) -0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*w + 174279 = 3*p + 96*w, -3*w = 5*p - 290465. What are the prime factors of p?\nAnswer: 7, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a + 20a84?\nAnswer: 20a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 8. Let f be d(10). Let m be (20\/15)\/(f\/6). Suppose -4*a + 2*n + 22 + 12 = 0, m*n = a + 2. Calculate the least common multiple of a and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 20. Sort 5\/2, 5, g in descending order.\nAnswer: 5, 5\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317 + -316. Let h(x) = 44*x + 41*x - 5 + 8. Is h(p) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, m: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.3. Let j = -88 - 33. Let l = j + 121.1. Which is the third biggest value? (a) l (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 6*u**2 - 17*u - 2. Let t be r(8). Let f = t - -16. Solve -f + 1 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*(sqrt(2) + sqrt(12)\/(sqrt(24)\/sqrt(4))))**2 - (-2*-3*(sqrt(2) + sqrt(2)*1))**2) + -4.\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4, 64 in descending order.\nAnswer: 64, 4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6206 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 814, 1628, 2442, 3256, 4070?\nAnswer: 4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59063, 236301, 531691, 945227, 1476903, 2126713, 2894651?\nAnswer: 3780711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 + (0 - 5))*(-382)\/4. Let a = u - -385. Let d = -5 + 10. Solve -a*q - t + 3 = -d, -q = -5*t + 24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 20*z = 0. Suppose -o + 4*v + 112 = -104, -o + 2*v + 216 = z. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9226661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1981, -3962, -5943?\nAnswer: -7924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 60933355.8 to the nearest 1000000.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a. Let z(b) = -4*b**2. Let o(n) = -9*n**2 + 5. Let v(g) = -8*g**2 + 4. Let k(w) = -4*o(w) + 5*v(w). Let l(f) = -3*k(f) + 4*z(f). What is t(l(q))?\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 32. Let z be i(27). Suppose 0 = 6*c + z*c - 121. What is the tens digit of (-8*c + -1)\/2*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8 - 4) + 106\/(-26))\/(23 + -22).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-7 + 27) - (-1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -702241.95?\nAnswer: -10533629.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 259 - 236. Solve d - m - h = -3*d, 5 = -2*d - 5*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxr when three letters picked without replacement from {u: 6, e: 1, r: 3, d: 2, x: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537 = 5*j + 6*l, -115 = 3*j + l - 211 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*a + 26. Let m(u) = u**3 - 7*u**2 + 10*u - 7. Let f be m(5). Let l = a + f. Solve -k + 6 = -2*x, -3*k + l*x = -k - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 410.5489 to the nearest integer.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.592 times 1?\nAnswer: -10.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 421\/34 + (-600)\/48.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/7)\/((-1)\/3*4). Solve 0 = -v*o - 6, 0*o = -2*z - 3*o - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117 + 1 - (7 + -9)) + (-1111 - -1114).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6573 (base 8) to base 14\nAnswer: -1387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/(-3*sqrt(1008)))\/((sqrt(567) - sqrt(567)*1) + -1*sqrt(112)).\nAnswer: sqrt(7)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/48 in 1\/24, -1\/30, 0.2?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*z - 3. Let j = 6 + z. Solve -4*y + 6 = 2*q, 0 = 2*y - j*q + 5*q - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19662 + 297*t - 76*t - 19662 to the form v*t + a and give v.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -47726840 divided by 280\nAnswer: -170453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4611221 to the nearest ten thousand.\nAnswer: 4610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3369 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3722.99 rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14457 - 32080. Let k = 5537 - y. What is k rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(77)*6)\/sqrt(11).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27239?\nAnswer: 27239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**3\/5 + 22599*f**2 - 225999*f\/5 + 113001\/5 = 0.\nAnswer: -37667, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 1 + 3*w**3 + 0 + 3 as q*w + z*w**3 + v + s*w**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6 and -127\/186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47, -23, -1, 7, -11?\n\"Answer: -2*n**3 + 11*n**2 + 5*n - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*b - 37*b + 59*b - 3*b - 2*b + 6*b + (2 + 2 - 6)*(-4 - b + 4) - 454 - 19*b + 454 to the form w + m*b and give m.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**6\/120 + z**4\/6 + 99*z**2 + 2. Factor k(i).\nAnswer: -i*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -575, -1271, -2215, -3539, -5375, -7855, -11111?\n\"Answer: -22*l**3 + 8*l**2 - 566*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/11 + 100*q**4\/11 - 1784*q**3\/11 + 13168*q**2\/11 - 34304*q\/11 + 28672\/11 = 0. Calculate q.\nAnswer: 2, 14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11313, -22101, -32297, -41901, -50913, -59333, -67161?\n\"Answer: 296*s**2 - 11676*s + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 - 15 = 18*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 1. Let w(l) = 5*l - 6. Let y(m) = -6*c(m) + w(m). Let j be y(-7). Is 15 a factor of (-46)\/(-1) - (-4 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, a: 2, p: 1, s: 5, e: 3}. What is prob of sequence sepa?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 7. Let p = 14134 + -14133.94. What is the third biggest value in 3, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 4*n**2 - 3*n - 3. Let b = 2 + -5. Let w be j(b). Does 3 divide 10 - (w + 0)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-2)*154\/(-21). Let h be 154\/k*36\/7. Suppose -o - o = -4*d + 114, -d - 4*o = -h. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*l + 17532 = -973*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 590 = 4*v, -2*o + 425 = 3*v - 7*o. Let t = -139 + v. Let u = 0.1 + -0.2. Which is the third smallest value? (a) -3 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 20\/4303, -0.072 in decreasing order.\nAnswer: 20\/4303, -0.072, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -p + 242. Let m be 48\/22 + (158\/p - -7). Solve -d - m*a - 8 = d, 0 = -3*d + 3*a - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131 and 5633.\nAnswer: 5633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 922.0967ml in litres?\nAnswer: 0.9220967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28129150.\nAnswer: 2, 5, 7, 80369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 4, 1\/4, -8 in descending order.\nAnswer: 6, 4, 1\/4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -8 - 2. Suppose -5*k = -2*t - 7, y*k - 7 = -3*t + 11. Factor 0*s - 3*s**3 - t + 10*s - 8*s**2 + 5*s**3.\nAnswer: 2*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -20*c**2 - 19*c - 61. Let i(w) = 7*w**2 + 6*w + 20. Let h(z) = 17*i(z) + 6*m(z). Let f be h(-6). Solve 0*k - 2*k = -f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 366\/4*(-17068)\/144. Suppose -20*w + 27*w - 75901 = 0. Let s = w + y. Calculate the common denominator of -75\/16 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 99*u**2 - 100*u + 213. Suppose 0*z = -2*n - 4*z + 8, 44 = 4*n + z. What is the remainder when r(98) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = -14 + 47 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 45.28 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 15, 21, 0, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0156 + 15?\nAnswer: 14.9844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516007.\nAnswer: 199, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1283 + 3075. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125442 (base 6) to base 12\nAnswer: 6882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*m**3 - 1 + 426*m**3 - 160*m**3.\nAnswer: 784*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/4))**(1\/9))**(-43) assuming o is positive.\nAnswer: o**(-43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 23?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 3*m**2 - 8*m + 3. Let r be q(-4). Let h = 47 + -19. Suppose -2*g = 4*n - h, 5*g - 2*n - r = 3*n. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09179 - 0.50221. Round i to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*w - 20 = -4*k, -6 = -k + 2*w. Let c be (-1)\/(2*(-2)\/k). What is the third biggest value in 4, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 10*v**3\/3 + 324*v**2 + 962*v\/3 = 0.\nAnswer: -481\/5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -128.5\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 + g**2 + g - 4. Let c(o) = -9*o**3 + 3*o**2 + 3*o - 11. Suppose 47 = -3*i + w + 55, -4*i - 2*w = -24. What is i*c(u) - 11*z(u)?\nAnswer: -3*u**3 + u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 12. Let y = n - -5. Let i = 0 + y. Which is the third biggest value? (a) i (b) 2\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1de (base 16) to base 14\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 51. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((42\/(-7))\/(-42))\/((-708)\/714 - -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 9*i**2 + 2*i - 9. Suppose 0 = -4*q - 5*u + u + 32, 2*u = -2. Is l(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-25 - (-4)\/(-1)). Suppose l - c = 25. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/728 and ((-180)\/100)\/(63\/(-12)).\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-8 - (-2 + -4)). Does 42 divide 20660\/65 - -1 - i\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 68 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 7 = 4*z + o, z - 2*o = -13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11183*u + 11185*u - 9742*u**3 - 6 + 3.\nAnswer: -9742*u**3 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -14777.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 192*b**3 - 2*b**2 + 2*b - 1. Is o(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -465*f - 655. What are the prime factors of n(-20)?\nAnswer: 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o - 10. Suppose -26 = -h + o*j, 4*j + 42 = 5*h + j. Is h > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*o + 4725 = 34*o - 203*o - 15315 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*52.\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 2, -5, -1007\/14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21200 - 1412?\nAnswer: 14233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 147. Let u(c) = -106. Let s(a) = -3*f(a) + 4*u(a). Give s(8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3815.037 + -3810. Let f = 0.037 - m. Let i(z) = z - 5. Let w be i(8). What is the second biggest value in w, 3\/4, f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2074698086?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.0119 + -0.0881. Which is the second biggest value? (a) -1 (b) u (c) -2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, f: 5, j: 3, m: 3, n: 2}. What is prob of picking 1 n, 1 i, and 2 f?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t + 10*t - 790 = -25*t. Solve -4*s - 5*n - t = 0, -46*n = 3*s - 48*n + 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8, -3*f + 26 = 2*f + 4*l. Suppose 4*k = -3*v + 20, -5*k = -4*v + 8 - f. Find r such that -k*r**3 + r**4 + r**2 - 15*r + 15*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 - 7*b + 9. Is w(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + 9*d**2 + 3*d - 25. Suppose -94 = 23*a + 90. Is g(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 12. Let k be 1*-4 + 156 + 494\/26. Let j = k + d. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*(s*s**(1\/3)*s)\/s*s*s*s**6\/s*s**1)\/(s**(-1\/8)\/(s\/((((s\/s**6)\/s)\/s)\/s*s*s)*s))**(2\/3) assuming s is positive.\nAnswer: s**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 15 + 13 = 0. Solve 7*o - 20 = b*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = 4*m. Let a be m\/4 - (-12)\/8. Suppose -100 = -a*f - 88. Is f <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 55, 0, 14822, 12, -1.\nAnswer: -1, 0, 4, 12, 55, 14822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 22 = -2*b, -5*b + 47 = y + 19. Suppose 10*d - 4*d - b = 0. Solve -s + x = 4 + d, x = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-208)\/12 + (-4)\/6. Let o = 40 + b. Suppose -3*f + o = j - 0*j, -4*f - j + 30 = 0. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -7\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(88) - sqrt(88)*1) + sqrt(88) - 4*(sqrt(88)*2 + sqrt(88)))\/(-2*(sqrt(8) + -1*sqrt(8)) + -6*2*sqrt(8))*2.\nAnswer: 11*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 23*n**2. Let q(l) = -13*l. Calculate q(p(h)).\nAnswer: -299*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56, -113, -170, -227?\n\"Answer: -57*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/7 - 3*a**3 - 351*a**2\/7 - 1215*a\/7 - 1296\/7.\nAnswer: 3*(a - 16)*(a + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/11223 and -34\/28341729.\nAnswer: 1218694347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 52, 1, -2749070?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7028, -7065, -7102?\nAnswer: -7139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009607 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 5. Let x(y) = -2*y + 4. Let v(k) = 4*l(k) + 3*x(k). Let m be v(-6). Suppose -3*a + 0 = -3*w - 6, -m*a + 16 = 4*w. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 468.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 15*p**2 - 802*p - 7009. Give s(61).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 433441056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1)*(-16)\/(-8))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 9*b = 273. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 754454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -3 - 1\/(-1). Let b = -25 - -113. Suppose p*z - b = -z. Calculate the remainder when 41 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18552692 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-60)\/9*(-2)\/(170\/(-153))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -610 and -1.9?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(228)*1)\/(-3*sqrt(1728))*-5 + -2)*1)**2.\nAnswer: -5*sqrt(19)\/3 + 1051\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 - 342. Which is smaller: -2\/537 or d?\nAnswer: -2\/537","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijuj. What is prob of sequence jiju?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(0*x - x - x) + (10*x + 28*x - 25*x + (-2 - 2 + 3)*(-1 + 1 - x))*(3 - 3 - 1).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - (10 - (29 - 81)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 6*o**2 + 7*o + 4. Let i be c(7). Suppose 0 = -4*k - i + 12. Suppose -m + 1 = -0. What is the nearest to m in k, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/8880 and -127\/1389942.\nAnswer: 55597680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (16 - (51 + -18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 20994618?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 13.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:40 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4422 + -3214?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 19\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/((-1742)\/(-3744) - 2\/(-9))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (0 - 6\/(-3)). Let n = r + 2. Which is the third biggest value? (a) n (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 884776283 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942796771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 38. Let u be r(38). Suppose -2*w + 3*t + 484 = u, -598 - 115 = -3*w - 2*t. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992953.\nAnswer: 13, 17, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19114 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l = 2*v - 13087562, l + 6543781 = -v. Let o = -943781 - l. Round o to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278032069?\nAnswer: 17, 2557, 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -245 - -138. Which is bigger: -108 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 3*g - 3*g - 23 + g + g - 3*g + 5 - g - 5 + (-17 - 6*g + 17)*(4 - 4 - 2).\nAnswer: 9*g - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -3*x**7\/14 - 71*x**6\/10 + 657*x**5\/10 - 369*x**4\/2 + 461*x**3\/2 - 261*x**2\/2 - 3*x + 2422. What is v in p(v) = 0?\nAnswer: -29, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-4) + -2)\/((-18)\/2268). Suppose -12*z + i = -11*z. What is the greatest common divisor of 27 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26c1 (base 16) to base 3\nAnswer: -111121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*r. Are r and 1\/20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + h + 22296*h**2 - 2 - 20823*h**2 to p*h + r + v*h**2 and give v.\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 88.209217594 - -0.02753\nAnswer: 88.236747594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -3*o**4\/4 - 3*o**3\/2 + 31905*o**2. Let j be ((-10)\/(-6))\/(2\/6). Let x(r) = 9*r + 5. What is j*s(l) + 9*x(l)?\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1703013.333 rounded to the nearest one thousand?\nAnswer: -1703000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2 = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45024046 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o. Let y(v) = 2*v**3 + 5*v**2 - 4*v - 4. Let p(x) = 2*l(x) - y(x). Calculate p(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38330536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24073270 - 12?\nAnswer: 24073256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 216.39 to 0 decimal places.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -5, -49, 6, 2\/11, 2, 1\/5 in decreasing order.\nAnswer: 21, 6, 2, 1\/5, 2\/11, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.35 less than -491036?\nAnswer: -491039.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -10*r + 11*r. What is the units digit of (42\/r + -4)*183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -10, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 4 + -29 - 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -35, -60, -91, -128?\n\"Answer: -3*z**2 - 10*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -13\/4, -0.01, -5, 3 in ascending order.\nAnswer: -5, -13\/4, -0.5, -0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3564)*2 + sqrt(3564) - sqrt(3564))\/((sqrt(4) - 1*(sqrt(4) + sqrt(8)\/sqrt(2) - sqrt(4))) + sqrt(4)))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1725290 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -0.0481695.\nAnswer: -5.0481695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2875 - -2879. Let c(z) be the first derivative of -2\/3*z**3 + 0*z - 1\/2*z**2 - 1\/4*z**n + 3. Let c(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 16*w**2 - 16*w + 12. Let k be u(-17). Suppose -4*a + 8 = 0, -2*r + 2*a - 4 = -12. Let d = r - 10. Put k, d, -3 in increasing order.\nAnswer: k, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*x - 206*x + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, 4, 87, -1, -5 in increasing order.\nAnswer: -7, -5, -1, 3, 4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q + 16. Let h be c(7). Let g be (30\/h)\/((-1)\/8). Solve j + 8 = -5*b - 14, g = -3*b + 3*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/3450 and -29\/7771125.\nAnswer: 15542250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 3*j - 2*j, 6*j - 4*j = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -2)\/(40\/(-6)). Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31382 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 15*i + 4934 - 5004 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112 = 285*u + 4873 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34608 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0134137393 to 5 dps.\nAnswer: -0.01341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**3 + 8*a. Let i(x) = 2*x**2. What is h(i(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 158\/3 in 3, 9, -0.3, -1\/140?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.72 + 0.18. Let y = n - -2.9. Let f = -5.6 - y. Round f to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3 - 30 - 10*k + 0 + 27. Let b(i) be the second derivative of i**4\/4 + i. Give b(a(m)).\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y + 3 - 3 + y**2 - 3*y**2 + 0*y**2 + 2*y**2 + 4*y**2 - 6*y**2 + 4*y**2 + (-2 + 0 - 4)*(y**2 + 0*y**2 + 0*y**2).\nAnswer: -4*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 7. Suppose 4*r - 20 = 2*m, k*m = 3*r - 1 - 7. Suppose -2*a - r = -4*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jppkpkpppckpoppkpp. Give prob of picking 2 o and 1 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*k + 26*k + 406 + 255*k + 27*k.\nAnswer: -2*k + 406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r + 265. Give b(-15).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344113 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 46.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 3*g + g)*(4*g**2 - 4*g**2 + 5*g**3) + (4*g - 2*g - 5*g)*(0 + 0 - 2*g**3).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 + 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -14, 26, 98, 214, 386, 626?\n\"Answer: 2*c**3 - 2*c**2 + 12*c - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 89066047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.87 - 0.13. Let u = 15 + -8. Let j = -11 + u. Which is the nearest to 0.1? (a) -0.3 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (-1 - (18 + -6 - 0)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = 3, 5*q = -3*r + 13. Which is greater: 22\/9 or q?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 169740\/(-16236) + (15*1 - (6 + -2))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-seven halves of a microgram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z + 20. Let o(p) = 3*p + 7. Let a(y) = -y + 3. Let f be a(-3). Let c(j) = -2*j**2 + 11*j - 11. Let r be c(f). Give r*o(k) + 6*d(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 + 0*o + 12*o**2 - 2*o + 3*o - 19*o**2.\nAnswer: 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12045714 - 38190.\nAnswer: -38189.87954286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3\/5 + 323*g**2\/5 - 776*g\/5 - 132 = 0.\nAnswer: -110, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/((-4)\/(-48)). Let i be 726\/(-1001) + q\/26. Let g = 188\/5 + -37. Put g, i, 2 in descending order.\nAnswer: 2, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 6, 4, 4, 6, 10?\n\"Answer: g**2 - 7*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**4 + m. Let a(p) = 54*p**4 - 57*p**2 + 2*p. Let z(t) = -a(t) + 2*d(t). What is the third derivative of z(f) wrt f?\nAnswer: -1344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(5 + 2 - 5)*(-3 + 3 - d)*(-2*d**2 + d**2 - d**2).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*t - 139*t + 760*t**2 - 771*t**2.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 6. Let y be a(7). Suppose -5*b + 2*j = -45, -2*b + y = -5*j - 17. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -29*j - 2. Solve -g - 2 = c, 3*g + 12 = -c + j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2\/7, 2\/7, -223, -1, -1\/4 in ascending order.\nAnswer: -223, -1, -2\/7, -1\/4, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 66 = -330. Calculate the remainder when 613 is divided by w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - -5) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 17*y - 48. Let k be f(3). Solve c + 4 = -3*v, v + 0*c - k*c = -18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 42012?\nAnswer: -42012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002265389914 rounded to six dps?\nAnswer: -0.002265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(12\/(-80))\/(-1) + 1. Factor 2\/5*f + r - 2\/5*f**2 - 2\/5*f**3.\nAnswer: -2*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 5*x + 4. Let l(a) = 2*a**2 + 10*a + 8. Let o(u) = -5*f(u) + 2*l(u). What is o(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 4:15 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 + 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 3*k - 4*k + 28, 2*p - 1 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 15 (c) -3 (d) 0.38662\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-3*((-3)\/12)\/((-4)\/8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*d**3 + 294*d**3 + 2 - 2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -12*u + 6 + 5*u + 5*u - 1. Let l(j) = -5*j + 10. Let t(n) = -4*l(n) + 9*v(n). Give t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-50)\/75)\/(10\/45)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26219 - 24568 = 577*i + 422*i - 837 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**7*u)\/(u\/u**(3\/2)))\/(u*u**0*u\/((u\/(u*u**(2\/15)*u))\/u)))**(27\/2))**(16\/9) assuming u is positive.\nAnswer: u**(524\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 155069 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 20723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 156848672*h**2 + 2*h. Let m(q) = -2*q. What is m(p(b))?\nAnswer: -313697344*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67298?\nAnswer: 2, 7, 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 5577.\nAnswer: 5577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 454 - -3?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 23*m + 12. Let a(w) = -21*w**2 - 2*w - 1. Let h be a(1). Let x be t(h). Calculate the greatest common divisor of 162 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**3\/3 - a**2 + 5*a - 2. Let j be t(-4). Let p(g) = -4*g + 5. What is the remainder when 48 is divided by p(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**5\/20 + d**4\/4 + d**3\/3 + d**2 - 5*d. Let j = -6 - -16. Suppose 5*z + 3*q = -30, 5*q - 3*q = -j. Calculate x(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/7 + -10\/7. Which is the closest to -3? (a) -0.1 (b) 1\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 23*f + 21. Let c be h(22). Let t(u) = -u**3 + 12*u**2. Let d be t(12). Suppose -3*l + 2*l + 5 = 0. Put c, 2, d, l in ascending order.\nAnswer: c, d, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1608 or 1?\nAnswer: 1\/1608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 14*l**2 - 2*l + 1. Let z be y(2). Let c be z\/3 - (-2)\/(-3). Suppose -c*h = -18*h + 9. Calculate the remainder when 35 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438142*r + 16 - 16 - 438163*r.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 4*k + k)*(k**2 + 4*k**2 - 3*k**2) - 648*k**3 + 645*k**3 - 607*k + 2084*k - k**2 to a + o*k**3 + t*k**2 + u*k and give u.\nAnswer: 1477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*q = 201*q - 69 - 15 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12639*t + 40668*t + 327*t + 17323*t)*(-2 + 3 + 1) to y + i*t and give i.\nAnswer: 141914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4256, -8512, -12772, -17036?\nAnswer: -21304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/40 and 143\/8466450?\nAnswer: 33865800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-481)\/148)\/(248\/248).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*w - 3475 = 0, -3476 = -3*a + 7*w - 6*w. Suppose a + 1325 = 9*v. Suppose -v - 450 = -3*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -885\/13 - -68. Let o(n) be the second derivative of n**3\/3 - 17*n**2\/2 + 8*n. Let v be o(8). Is w greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10380 and 754280?\nAnswer: 2262840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.4, 87395 in decreasing order.\nAnswer: 87395, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1256136 by 628068.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -250, -244, -238, -232?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -28. Let v(d) = -9*d**2 + 3*d**3 - 4*d**3 + 2*d**3 + d. Calculate the remainder when 16 is divided by v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -12 + 4, -2*z + 6 = 3*p. Suppose s - 7 + 5 = z. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 42*x**2. Let n(j) = -1027*j**2. Give a(n(o)).\nAnswer: 44298618*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 2*j + 78, 0 = -2*w + 5*j - 5067 + 5138 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*n - 4*n - n - 4*h + 25, -155*n + 15 = -152*n - h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.49992 and -1.3.\nAnswer: -1.79992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -29 - 67. Calculate the remainder when p is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4\/3 - 370*y**3\/3 + 725*y**2\/3 - 120*y.\nAnswer: 5*y*(y - 72)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 146*k - 54. Let p(h) = 73*h - 25. What is 13*p(q) - 6*v(q)?\nAnswer: 73*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 182*b**4 + b + 967*b**3 + 972*b**3 - 1940*b**3 + 2*b**2 as u*b**3 + l + q*b**2 + i*b**4 + y*b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 7*b + 2. Let d be 0 - -2 - (-1 + -1). Let r be n(d). Suppose -z + r = -6. What is the least common multiple of 8 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -355.2 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 16.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1228 = 171*o + 3622 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -74407, 4, 0, 5, -3 in increasing order.\nAnswer: -74407, -3, -2, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 38 = 1279*k - 1301*k + 297, 0 = 4*c - 4*k + 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 17\/10628?\nAnswer: 17\/10628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/126 and -62\/37995.\nAnswer: 1595790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 1\/2, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**2 + t - 2. Let u be i(2). Let h be (38 + 1)*(-8)\/u. Suppose -4*j + h = -l + 2*l, 5*j + l = 16. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (4 - (0 - -5))) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -411884 (base 9) to base 8\nAnswer: -734762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000396204227 to 5 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*o - 7600, -6098 = -4*o + 9*y - 7*y. What are the prime factors of o?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 52\/36*3)*12 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 25. Suppose 0*c = 4*c - k. Let t(u) = 6*u + c*u**2 - 6*u. Let w(n) = -4*n. What is t(w(p))?\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 98, 55, -12, -109, -242, -417?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17329 - 3196 - 353*a**2 - 14133.\nAnswer: -353*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130988 is divided by 1016?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 - 2*l**3 + 4 + 5*l - 23*l - 12*l**2 - 13 = 0. Calculate l.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.944736 seconds to days.\nAnswer: 0.00150399","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 - -208. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10731147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52630 and 52630.\nAnswer: 52630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4939016 days to nanoseconds.\nAnswer: 42673098240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 + 5743*m + 1640987. What is i(-534)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 1. Let k(w) = 3*w**2 - 5. Let x(l) = -2*l - 13. Let u be x(-6). Calculate u*k(z) - 5*p(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/9)\/(o*o\/(o*o**(-1\/5))*o)*o**(2\/7)\/o**(-2\/15) assuming o is positive.\nAnswer: o**(-491\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*l**4 - 264977*l + 33326358 wrt l.\nAnswer: -36*l**3 - 264977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 22407*x - 111960.\nAnswer: -3*(x + 5)*(x + 7464)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, e: 2, x: 3, u: 3}. What is prob of picking 1 v, 1 x, and 1 u?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 0 (c) 1\/2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27731 is divided by 4583?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 15*x + 7. Let a(t) = 5*t**3 - 1. Let s(c) = c**3 - c. What is x*a(n) - 2*s(n)?\nAnswer: 3*n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 19*o + 18444*o**3 - 21 + 39*o**2 - 18445*o**3 - 27*o**2. Determine m(13).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.104 rounded to 0 decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Suppose 2*f + 6 = -w, -2*w + 0*f - f = h. Let q(n) = -7 + 3 - w*n + n. What is q(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -18 + (21 - (1 + 23))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:41 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, r: 5, i: 2, c: 8}. What is prob of picking 3 o?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = l + 3*l. Let z(m) = m - 1. Let n be (2\/(-2))\/(4 + -3). Let o(q) = -q**2 - 2*q. Let v(t) = n*o(t) + z(t). Give v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-16))**(2\/53)*h**(-38)*h**(-3\/16) assuming h is positive.\nAnswer: h**(-32895\/848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2720.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00351713 to 4 dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 412240*j**2\/7 + 412242*j\/7.\nAnswer: -2*j*(j - 1)*(j + 206121)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 35 = -5. Suppose 3*c = c + o. Suppose 0*g - 2*g = -c. Calculate the remainder when 14 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13*g - 21. Suppose 11 - 5 = 3*s. Let i be r(s). Solve i*c = -15 - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 2*a + 13*a**2 - 5*a to the form g*a + f + j*a**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -10877.\nAnswer: 10879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*i**3*x**3 - 58*i**3*x - 2388*i**3 - 5*i**2*x - 16*x**3 - 16*x**2 + x - 6 wrt i?\nAnswer: 186*x**3 - 348*x - 14328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - v**2 - 2*v - 3. Let w(n) = 5*n**3 + 6*n**2 + 11*n + 16. Let r be (-4)\/(-1*(-4)\/(-2)). What is r*w(y) + 11*g(y)?\nAnswer: -y**3 + y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = j + 5, 0*j = 4*j - 3*b - 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1814+1074.5998082\nAnswer: 1074.4184082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*x + 199*i - 40 = 201*i, 6*x - 14 = -2*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28308066 by 21157.\nAnswer: -1338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - q**4 + 0*q**4 + (-1 - 1 + 0)*(31*q - 45*q**4 - 31*q).\nAnswer: 88*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13766 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151.9 + 143. Let u = 9 + t. Which is the biggest value? (a) u (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 - 2*w. Let l(c) = 48*c**2 - 4*c - 2. Let u(f) = 2*g(f) - l(f). Let z(p) = -p**2. What is u(z(v))?\nAnswer: -54*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655306.8 centuries to months.\nAnswer: 786368160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + 2*k + 1 - k**2 - 2*k**2. Suppose 3*h - u - 1 = 0, -h + 0*h = -3*u - 3. Suppose -3*c + 4 + h = m, m + c = 0. What is i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.5, -2, -0.4 in descending order.\nAnswer: 0.5, 1\/4, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 15) to base 11.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/4, -4, 302\/7, 1\/10.\nAnswer: -4, 1\/10, 3\/4, 4, 302\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**2 - 58966*x = 0.\nAnswer: -58966, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a year?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*-4*-1. Suppose -f = m*d + d + 2, 5*d - 34 = 3*f. Let b(i) = i + 13. Let t be b(f). Solve -3*z + 30 = -5*y, -t*y + 0*z - 20 = -z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11857138 divided by 5928569\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -2*k + 29 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21477\/70 or -0.0003?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + 0 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u**(-20)\/u)*u**7)**(-14) assuming u is positive.\nAnswer: u**(-434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2\/5 - 2751*m\/5 + 1098 = 0. What is m?\nAnswer: 2, 915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n + 6. Let m = 26 + -15. Let f be q(m). What is the greatest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 8 (b) -6 (c) -2\/3 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -446930, -446879, -446744, -446483, -446054, -445415, -444524, -443339?\n\"Answer: 7*t**3 + 2*t - 446939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 13) in base 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4\/5)\/(-1))\/((-18)\/(-10)). Which is the second biggest value? (a) -3 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127020 and 8798252.\nAnswer: 131973780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.27 - 12.77. What is the second smallest value in -5, 14, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.083 and -6098.453.\nAnswer: -6098.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 597 = 81. Let n be (-12)\/(-54) - i\/(-27). Solve -5*f = n*z - 40, z + 4*f - 18 = f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3824 + -2626. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.443 + -0.445704. Round m to 4 dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*l + 49335 = 0, 5*c + 124*l - 123321 = 131*l. Is 237 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2836, -4303, -4400, -3127, -484, 3529, 8912?\nAnswer: 15665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -52*s. Let k(y) = -381*y - 10. Let a(t) = 7*b(t) - k(t). Determine a(-7).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**7\/140 - 17*n**6\/240 + 9*n**5\/40 - 7*n**4\/48 - n**3\/2 - 144*n**2. Find c, given that q(c) = 0.\nAnswer: -1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-549)\/1830*(-1750)\/(-63)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2)*15\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*o + 10, -5*b + 2*o + 1 + 1 = 0. Suppose 1 = 3*x - 4*c, 0*x - b*c - 5 = -3*x. Solve z + 0*f = -4*f - 4, -12 = x*z + 4*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s + 5*s)*(-3*s + 4*s - 2*s)*(-1 + 13 + 1).\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:00 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 31. Let a = n - -20. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/11 (b) 1\/2 (c) 72 (d) 37 (e) -0.1 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 329.9789t?\nAnswer: 329978900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:10 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/12 + 43\/(-42))*7. Let b be r\/(-9) - (-3 - 2\/(-3)). Suppose 4*h + 61 = x - 23, -b*x + 292 = -2*h. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 - 10 + 12)*(-6*a + 2*a + 2*a)*(35*a - 25*a**3 - 35*a) to r*a + s*a**4 + g + u*a**2 + n*a**3 and give s.\nAnswer: 1450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 281593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 4*s - 2*s)*(3 - 5 + 0) + (2 + 2 - 5)*(-13 + 13 - 10*s).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9600)\/(-2000)*(-925)\/(-60).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 7*g**2 - g + 9. Let z be q(7). Suppose 0 = -3*p - 3*k, 2*p - k - 10 - z = 0. What is the units digit of (p\/(-6))\/((-2)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.665 - 0.135. Let z = o - -10.79818. What is z rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3571704 divided by -1017.\nAnswer: 3512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29312, 29303, 29294, 29285, 29276?\n\"Answer: -9*l + 29321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1849 - 2047.1. Let i = 125.39 - z. Let t = i - 322. What is t rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**3 + 5*z. Let g(n) = -n**3 - 3*n. Suppose 10*o - 33*o + 115 = 0. What is o*g(w) + 3*b(w)?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(76)*-2 + sqrt(76) + -1*sqrt(76)*2)\/(-2*sqrt(4)*5 + sqrt(100) + (sqrt(100) - -2*sqrt(100))).\nAnswer: -13*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 32 = -10*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -71*b**5 - 16*b**4 + 41*b**3 - 6*b**2 - 4*b - 4. Let k(y) = -y**5 - y**4 + y**3 - y**2 + y + 1. Let q(t) = 4*k(t) + w(t). What is r in q(r) = 0?\nAnswer: -1, 0, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3*v*z**3 + 106*m**3*v*z + m**2*v*z**3 - 2*m**2*v*z + 15*m*v*z wrt m.\nAnswer: -6*v*z**3 + 636*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*s - 103*s = 4830 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 2114\/(-6) - (-125)\/(-375). Calculate the highest common divisor of l and 3344.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -18. Suppose 5*y = d*y. Let g be ((-6)\/(-2))\/((-21)\/14) - -6. Solve g*i = -y*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 8) to base 4\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60a45102 - 1?\nAnswer: -60a45103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*v**3 + 3 - 774*v - 8 + 382*v + 386*v to y + p*v**2 + a*v + n*v**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 + r + 1. Let t be o(-1). Suppose -5*u = 2*q + q - 6, 0 = t*u - 4*q + 8. What is the nearest to u in -1\/6, -5, -2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - (sqrt(1539) + 1)) + -5 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.64, -0.6, 3\/7, -0.3 in decreasing order.\nAnswer: 3\/7, -0.3, -0.6, -12.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 38 = -3*o, 0 = 2*b - 4*o - 0 - 18. Find the common denominator of -5\/7 and (87\/(-7))\/((-4)\/b).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179744235*b**4 - 20956759*b**2 + b - 3 wrt b.\nAnswer: -4313861640*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -373*d**2*w**2 + d**2 + d*w**3 - 93*d - w - 3 wrt w.\nAnswer: -746*d**2*w + 3*d*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c9c41b + 1?\nAnswer: 3c9c41c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = w - 12. Let x be (-4 + 3)\/(2\/22). Let k = x + w. What is the highest common divisor of k and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426417 - 3544?\nAnswer: -1429961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 14 = -2*p, -2*p + 6*p + 5*j = 33 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7218 + 6837. What is the second smallest value in 0.2, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**2 + 42*d**2 + 18*d**2 to z*d + x*d**2 + g and give x.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 78332743 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/5 + 280*c**2 - 90098*c\/5 + 98124 = 0. What is c?\nAnswer: 6, 65, 629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -52. Let a = g - -53.000092. What is a rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**17\/l*l*l**(-14))\/(l**(-4\/9)*l*(l\/(l**(-10)\/l*l*l))\/l*l))**(-2\/79) assuming l is positive.\nAnswer: l**(118\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -12, 1\/3, -5, -1, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13491 - 11791. Let b = 53631 + p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142846 rounded to the nearest one hundred?\nAnswer: -142800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -236 - -180. Let j = 761.62 - 705.6152. Let m = j + n. What is m rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 23. Suppose -5*q - 50 = -n*q. Let d(r) = -4*r + 7. List the prime factors of d(q).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 3*z**5\/20 + z**4\/3 - 4*z - 1. Let q(c) be the first derivative of p(c). What is the third derivative of q(o) wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 15 = 65. Suppose 4*a + 5*y - 74 = 0, 5*y + f - 15 = 0. Calculate the remainder when a is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30986286.\nAnswer: 2, 3, 5164381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/3, 21, 3\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qttq when four letters picked without replacement from {q: 5, t: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -1 - 7. Let k be (-1)\/r*(-8)\/(-5). What is the closest to k in -0.1, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 102*j**2 - 120*j + 1631. Give w(103).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-18 - 3) - (-2 - -42).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttteetettwttttt. Give prob of sequence ewe.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 = -3*k, 4*r = -2*k + 23164. Let s = 52181\/9 - r. Calculate the common denominator of s and ((-760)\/(-45))\/(-2 - -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000100100110011011101 (base 2) to base 13\nAnswer: 1447373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 1. Let d(w) = 4*w + 3. Let k(i) = 7*b(i) - 4*d(i). Let c(a) = 3*a. Calculate k(c(f)).\nAnswer: -6*f - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 2) + (3 - 3) + -3. Let w(d) be the second derivative of d**5\/20 - d**2 - d. Determine w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 1. Which is the third smallest value? (a) d (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1066099.8 months?\nAnswer: 888.4165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1\/12 (b) -991 (c) 280\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(2 + sqrt(3)) + (sqrt(12)\/sqrt(4)*3 - sqrt(48)\/sqrt(4)) + 1 + 3)**2.\nAnswer: 224*sqrt(3) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/403 + 463\/12090. Let t(o) be the second derivative of -2\/15*o**3 + j*o**4 + o + 0 + 0*o**2. Find r such that t(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 15*r - 16. Let o be s(13). Let u be (-68)\/(-7) - 2*6\/o. Which is greater: u or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j. Suppose -5*l = -5*y - 2 - 3, 16 = 2*l + 5*y. Let r(f) = -4*f - 5*f + l*f**2 + 9*f. Calculate r(p(c)).\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 8:57 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11080 + -6350. What are the prime factors of c?\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/(-55) + (-68)\/85?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -800, -1496, -2192, -2888, -3584?\nAnswer: -4280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 1. Let j(s) = -2. What is -2*c(n) + 3*j(n)?\nAnswer: -2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 + 132017*f**2.\nAnswer: -f**2*(f - 264034)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8878 and 13124.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 4*l + 3. Let o be s(1). What is the nearest to -1 in 0.2, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2884752 and 9175.56?\nAnswer: 2893927.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.98 - -6531.\nAnswer: 6530.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.3. Let q = 252086 + -252085.79. Which is the nearest to -1? (a) q (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-88))\/((-900)\/150*(-1)\/4)?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24245 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*f**3 - 39*f**3 - 34 + 71 - 32*f**3 - 40.\nAnswer: -20*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363451 = -13*g - 138349. What is g rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 2*a - 2. Let x(v) = -2*v**3 - 16*v**2 + v + 6. Let k be x(-8). Let r(j) = -12*j**2 - 7*j + 7. Determine k*r(s) - 7*z(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23785 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 + -2 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 5*i**2 - 2*i - 4. Let f be x(-5). Suppose 0 = -7*g + 8*g - f. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11659\/18 + -648. Let c be 146\/(-9) + (-4)\/(-18). Calculate the common denominator of 108\/c*(3 - 0) and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -61. Let u = -60.0058 - t. What is u rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268977.2 decades to centuries.\nAnswer: 26897.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -13*v + 537. Let m = v - 721\/20. Find the common denominator of -151\/30 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702938402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - (-78)\/12)*-32. Is 50 a factor of i\/72 + 6378\/(-27)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1107207\/280 - 19777\/5. Let q = o + 11\/8. What is the closest to -0.4 in 0.3, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 21*u**2 - 3*u - 10. Let p(d) = -23*d**2 + 3*d + 11. Calculate 3*p(a) + 4*w(a).\nAnswer: 15*a**2 - 3*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.06, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 320*c**2 + 6400*c.\nAnswer: 4*c*(c + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4331004 + 233?\nAnswer: -4330221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11447881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 + 101332\/1225 - 37)\/(4\/(-10)).\nAnswer: -109\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**5\/20 - 5*p**4\/12 - p**3\/2 - 2*p. Suppose -2*j + 16 = 2*j. Suppose -1 = t + 3*o, -3*t - 15 - 1 = -j*o. Determine b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.012509 to the nearest integer.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 170*z - 15331. Determine x(76).\nAnswer: -2411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1273 to 1 decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/4636372 and -61\/38142.\nAnswer: 41727348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27166 - 0.05.\nAnswer: 27165.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1411, -2823, -4235, -5647, -7059, -8471?\n\"Answer: -1412*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6369799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41, -188, -419, -722, -1085, -1496?\n\"Answer: 2*s**3 - 54*s**2 + s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 34617 - 13032 = 0. What is the remainder when g is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 19.392.\nAnswer: 0.38784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/13, 0.8, -1\/2 in decreasing order.\nAnswer: 0.8, -1\/2, -14\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 95*j + 33. Let i(z) = 141*z + 53. Let a(b) = -5*i(b) + 8*o(b). Let r(k) = 274*k - 4. Give -14*a(u) + 3*r(u).\nAnswer: 52*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -6*i + 1. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -113, -336, -733, -1352, -2241, -3448, -5021?\n\"Answer: -8*o**3 - 15*o**2 + 4*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 65. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -545\/3 + 217. Suppose -b - 30 = 4*j - 175, 2*j + 2*b = 74. Let k = j - s. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 25*m. Let i be h(-1). Let w = 60 + i. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 45, 6*r - 3*j + 3218 = 3167 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + 9. Let l be b(-5). What is the greatest common divisor of l and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 19*w**3 - w**2 - w + 2. Let i be n(1). Let z = i + 6. Suppose 34*r - 60 = 22*r. Solve 5*f = z - r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0167 and -46930.\nAnswer: 783.731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 33 + 45 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - (-2 + -19)) + -3 + -8 + 13.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from oggfhffff.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2\/3, -50, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/49 - -4\/49. Let y(k) be the first derivative of -2\/35*k**5 + 0*k**3 + 0*k**2 + 0*k + h*k**4 + 1. Determine a so that y(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 35. Put -1, -2, m in increasing order.\nAnswer: -2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) 33\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + ((2 + sqrt(272) + -1)*-6)**2).\nAnswer: 576*sqrt(17) + 19656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 7*t**2 + 6*t + 7. Suppose 2*i + 2*p + 4 = i, 3*p + 6 = -3*i. Suppose -3*s + 3 = i, 0 = -4*q - 4*s + 3*s + 25. What is the units digit of w(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, 3, 14, 25?\n\"Answer: 11*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1. Let h(p) = -5 + p + 2 - 3 + 7. Let r(g) = -g**2 + 1. Let m be r(0). What is m*q(y) - 2*h(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (512 - 512 + 54*h)*(2 - 4 + 0)*(4*h - 3*h + 0*h + (0*h + 3*h - h)*(0 - 1 - 1) - 5*h + 0*h + h).\nAnswer: 756*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -15*c + 30. Let p be 15\/c - (-7)\/(-14). Suppose -5 = 3*q + 2*g, 17 = -2*q + p*g - 3. Sort -8, q, 2 in ascending order.\nAnswer: -8, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 2990 = -5*u + 4*p, -5*u + 2980 = 2*p. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 2893341?\nAnswer: -2893340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2487 divided by -34?\nAnswer: -2487\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144.5036 - 3.2136. Let z = n + -142. Let q = z - 0.29. Which is the second biggest value? (a) q (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2 + (-3 + sqrt(27) - (3 + sqrt(108) - sqrt(3)))*2 + -4)*-4)**2.\nAnswer: 2176*sqrt(3) + 5392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -1441*d**5\/10 + 19*d**4\/24 + 31*d**3\/3 + d**2 + 4*d - 11. Find the second derivative of i(v) wrt v.\nAnswer: -17292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 3*u**2\/2 - 38*u - 1. Let z = 137 + -122. Let o be j(z). Solve -2 = -4*c - 3*i - 15, -4*i - o = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -508245248 by -1134476.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z + 61. Suppose 5*b = -g + 112, 0 = 505*g - 508*g + 21. Calculate q(b).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 56*n + 166. What is the remainder when x(6) is divided by 133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 186*x + 78. Let t be p(47). Round t to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123275*o - 32333 wrt o?\nAnswer: 123275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2986*t**3 - 2*t - 220143198 + 220143198 + 2*t.\nAnswer: 2986*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 469 and 451245?\nAnswer: 3158715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 11 = 5*o, 5*o + 328*b + 17 = 329*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*a - 43 + 6 = 0, -2*z + 71 = 3*a. Suppose -2*j + z = -0*j. Let b = j - 4. What is the remainder when 25 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q + 45. Let z = -2 + 18. Let a = z - 11. Solve -8*l + 3*l = 2*r - q, -a*l = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 - 76. Let p be 6\/(-21) - 4\/(-14). Solve p = -7*x + u*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 3*z - 161 = -109. Let n = 0.313 + -2.283. Let j = -0.03 + n. Do j and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -2, -303, 138, -3 in descending order.\nAnswer: 138, 5, 1, -2, -3, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20442.22 + 20264. Let i = 0.22 + l. Let x = i + 179.58. What is x rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 2. Suppose 2*w = z + 7. Which is smaller: -2\/3 or w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from ciorlqroq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119*-116.\nAnswer: 13804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -200202100001?\nAnswer: -200202022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 14, 7\/5, 66, -59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t = -37*t + 111618. What is the remainder when t is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 558 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.1 - 0.1. Let y = -0.13 + -0.87. Let s = 0.1 - -0.1. Which is the closest to n? (a) s (b) y (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -89 + (-2 + 3)\/(2\/4). Let l = -83 - z. Solve -2 = l*y - o, 4*y + y + 2 = o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -11340?\nAnswer: 11340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-10) + (-142)\/(-10). What is the second derivative of 9*p - c*p**5 - 22*p + 2*p**2 - 2*p**2 wrt p?\nAnswer: -280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t - 27. Let f = 42 - 35. Let k be z(f). Solve 2*g - k = -2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171588 not equal to 171587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.8 - 3.7. Sort t, 0.6, -0.2 in decreasing order.\nAnswer: 0.6, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44730 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254841635 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8.7, -1\/7, -11, -1, -0.18, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*r = 2*r + 1, 21 = -5*h + 3*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558410?\nAnswer: 2, 5, 19, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22333, -22335, -22339, -22345, -22353, -22363, -22375?\nAnswer: -22389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 26*l + 4. Let n(q) = 4*q + 10 - 30 + 13 - 55*q. Let w(u) = 5*h(u) + 3*n(u). Let v be w(-1). Calculate the highest common divisor of 154 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smqqvvmqmmmqmvvvmmmq. What is prob of picking 3 m and 1 s?\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) - -3*(2*sqrt(171))**2 - 1*sqrt(171)*-3.\nAnswer: 12*sqrt(19) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(12)\/(-2*sqrt(2))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96484 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 370, 0.\nAnswer: -2, 0, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 1103330212113?\nAnswer: 1103330212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 23 = -67. Suppose 378 = 6*t + 3*t. Calculate the remainder when t is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -11. Let u = -4.6 - s. Put -2\/3, u, -0.5 in decreasing order.\nAnswer: u, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10878743.00067 + 10878812. Let z = -0.15 + -68.85. Let s = z + l. Round s to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 9*b**2 - 15*b - 1. Let t be i(-6). Let g(x) = x**2 + 18*x - 19. Let f be g(t). Solve -3*w - 6 + 22 = -l, f = -l - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -5\/6 (c) -33497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52010?\nAnswer: 2, 5, 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 9:58 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -0.5, 0.1068, 0.2, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(468)\/(sqrt(12)*1 + sqrt(12)))\/(sqrt(75)*1).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 13 - 1 = 0. Let p be (-54)\/45*(-10)\/g. Solve -3*a - 6 = p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m - 47782717 + 47782717.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.8 + 40. Let j = 12.2146 - c. What is j rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 26. Let v = 331 + -323. Let f(u) = u**2 - 22*u + 110. Let p be f(v). Sort -5, p, -4, l.\nAnswer: l, -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187351899.\nAnswer: 3, 7, 67, 133157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1880 + 1851.945. Let j = 7.16 - -20.84. Let u = j + c. Round u to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1025.3 + 1025.29985203. Round n to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3 + 93175*c**2 - 441028240*c + 64487995820 = 0.\nAnswer: 151, 9242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*w**2 + 238*w**2 + 296*w**2 + 321*w**2 - 1227*w**2.\nAnswer: -106*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 14. Let k be (o\/18)\/((-2)\/(-6)). What is the lowest common multiple of (-2)\/(12\/14 + k) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*p**4 - p**3 - 1325*p - 3530234.\nAnswer: -36*p**3 - 3*p**2 - 1325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 1 - 1)*(0*t + 4*t - 6*t)*(t + 0*t + t) - 4*t**4 + 3*t**4 - 3*t**4.\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 0 + 2118\/(-12)*2. Let r = y + 850. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11746 (base 14) to base 9.\nAnswer: -64376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/1*(2 + -5) - 5. Solve -2*g - 4*k + d = -0*g, -k + 1 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = m - 9. Suppose -5*n - 6*k + 35 = -k, -2*n - 5*k + m = 0. Calculate the remainder when 13 is divided by 1\/(1\/n*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than or equal to -4147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*w - 136*w - 3708. Let p = 1267 - w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12670469, -25340952, -38011437, -50681924, -63352413?\nAnswer: -76022904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4043594897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -528 - -303. Let o = 223.8 + f. What is o rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -56\/3. Let x = -176 + 63. Let r = x + 112. Which is bigger: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 400266 - 3400?\nAnswer: 363566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21039 - 15014. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(2\/3)*s*s*s))\/(s\/(s*s**(-2\/5))))\/(s**5*s**4) assuming s is positive.\nAnswer: s**(-196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2847, 3020, 3301, 3690, 4187?\n\"Answer: 54*v**2 + 11*v + 2782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*q + 12 = p, 0 = -5*p + 5*q + 5. Find the third derivative of 5*m**2 - 9*m**p - 4*m**4 - m**2 wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 458 + -323. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = b - 140. Let m be (3\/4 - b\/(-80)) + -1. Solve m*w = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14170007 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129176444?\nAnswer: 2, 149, 193, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21697861?\nAnswer: 31, 699931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 282, 590, 912, 1254, 1622, 2022, 2460, 2942?\n\"Answer: v**3 + v**2 + 298*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12414036 (base 8) in base 4?\nAnswer: 22201200132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -405, 106, -1\/5, -1\/10, -3, -20\/7?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.8031894 to three decimal places.\nAnswer: -52.803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 0 + 3\/3. Suppose -4*j - r = -29, -5*j + 43 = -r - l*r. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16743160461 from 0.011.\nAnswer: 16743160461.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:02 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1446598*a**2 + 718168*a wrt a.\nAnswer: 2893196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m - 2*c + 51, -3*c - 6 = 0. Let l = 18 - m. Suppose -5*g + 9 + 91 = 0. What is the remainder when g is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -42. What is the remainder when 62 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203719945?\nAnswer: 5, 11, 13, 71, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.65429 millimeters to meters.\nAnswer: 0.01665429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -13. Suppose -2*w + w + 3 = s. Suppose -4*j + 3*i = -12, -2*i + 3*i + 9 = 3*j. Solve -2*y - 4*q - 4 = 3*y, 0 = 3*y - w*q - j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 6573470*t + 2160525392045.\nAnswer: 5*(t - 657347)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 530480 divided by 530480\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*u = 11 + 7, -r - 4*u = -18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7205445*r + 3279190 wrt r.\nAnswer: 7205445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c - 28*c**2 + 46 - 16 - 30 as n + y*c + v*c**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2974.724 millilitres to litres.\nAnswer: 2.974724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/7 + 432*u**2\/7 + 6889*u + 45150.\nAnswer: -(u - 525)*(u + 7)*(u + 86)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -431 take away 93392?\nAnswer: -93823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -53 - -0.09\nAnswer: -52.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 475 and 6574?\nAnswer: 164350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 s, and 1 g when four letters picked without replacement from yssgsgsy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 4. Suppose -o*f + 3*r = 6, -3*f + 0*r - 7 = -4*r. What is the second derivative of -q + 2*q**f - 7*q + 18*q wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, q: 2}. Give prob of picking 1 q and 2 p.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2*j - 16)*(-31*j + 31*j + 11*j**3)*(-4*j - j + 3*j).\nAnswer: 44*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6489 - 6495.506. Let q = n - -4.57. What is q rounded to 2 decimal places?\nAnswer: -1.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 43. Let a(d) = -4*d - 1. Determine a(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38023, 72883, 107743, 142603, 177463, 212323?\n\"Answer: 34860*a + 3163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874 = -108*p + 16*p + 46*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 6*k + 182. Determine j(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) -2 (c) 0 (d) 1\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.4 + 7.6. Let h = j + -27. Which is greater: h or 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 16771160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20872, -5, 0.32, 0?\nAnswer: 20872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 5*q + 4. Let x be r(-6). Let l = x - -6. Calculate the remainder when 11 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9858002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -100*k**3. Let a(n) = -298*n**3. What is -2*a(o) + 7*s(o)?\nAnswer: -104*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*d = 17 - 7, t + 5 = -7*d. Suppose 2*s + 9 = 5*s. Solve s - 11 = t*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/33, -0.1, -6\/5, -1\/1768?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -70.6 and -148 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + -156?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 850 - 1404 = 34*a - 826 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 246, 284, 318, 348?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74342983 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1497*y + 6412. Determine l(-7).\nAnswer: -4067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**7\/315 - r**6\/36 - 4*r**5\/45 + r**4\/3 - 174*r**2. Factor k(n).\nAnswer: 2*n*(n - 6)*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 2*l = -2*r + 2, 2*r = 3*l - 11. Let f(p) = -p**3 + 4*p**2 + 5*p - 2. Let j be f(5). Let m(z) = -3*z - 3. Let n be m(j). Which is greater: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 3*f + (-3 + 2*f + 3)*((3 + 0 + 1)*(-4 + 5 + 0) + 28 - 2 + 25).\nAnswer: 107*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5\/5 + 8*v**4\/5 - 8*v**3\/5 - 16*v**2\/5 + 4*v\/5 + 8\/5 = 0. Calculate v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/17, 3\/16, -2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 1. Let t(z) = -13*z - 5. Let y = 2 - 1. Let w = 8 + y. Suppose 4*u + 2 = 5*l, 0 = -l + 2*l - 5*u + 8. Calculate l*t(d) + w*h(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/12 + 5*c**3\/6 + 3*c**2\/2 - 6*c. Calculate the remainder when 78 is divided by q(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -800 - -805. Sort -0.3, c, -0.33 in decreasing order.\nAnswer: c, -0.3, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 3. Suppose -s*k + 7 = 27, 5*k = -4*d - 25. Let f = -1\/53 + -207\/265. Which is the third biggest value? (a) -12 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 44 = 1. Let y be 2\/4 + (-1)\/(-2). What is the highest common divisor of r and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r + 305 = 2357. Calculate the remainder when 262 is divided by r.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18878317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/12 + 4*h**3\/3 - 5*h**2\/2 + 4*h. Let l be t(-9). Suppose -201*m + 194*m + 14 = 0. Solve m*c = -0*c - l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -424 - -10?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:39 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -2341?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**5 + 22*c**2 - 3*c - 3. Let v(a) = a**5 - a - 1. Let g(w) = -3*v(w) + z(w). Find the third derivative of g(u) wrt u.\nAnswer: -540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*d = l + 4, -3*l + 6 = 736*d - 737*d + 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*a - 14, 29 = 2*y - 0*y + 5*a. Let h(x) = x**2 + 0*x**2 - 4*x**y - x**2. Let t(n) = 2*n**2. Calculate h(t(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20313 - -10230300?\nAnswer: 10311213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**4 + 10*y**4 + 10*y**4 + 2*y - 32*y**4 - 12*y**3 + 6 + 2*y**2 to g*y**4 + r*y**2 + f*y**3 + v*y + d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 51*j - 250. Let m be f(5). Determine l, given that 2\/11*l**m + 32\/11 - 32\/11*l - 14\/11*l**4 - 16\/11*l**2 + 32\/11*l**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, f: 5, t: 4, n: 1}. What is prob of sequence tt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.03, 17\/7, -7\/200, -1\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513627029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -794588*k**4*y**2 + 8*k*y**3 - 2114*y**3 + 66108*y wrt k?\nAnswer: -3178352*k**3*y**2 + 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, d: 11}. Give prob of sequence xxxx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -0.35, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 610, 5, 19850 in increasing order.\nAnswer: 5, 610, 19850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -0.1, 6, -0.175?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**2 + 772*n - 608. Give i(127).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 762 + -762. Solve y = 2*c + 5*o - 19, -8 + 0 = -4*c - 4*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-66))\/((-198)\/297)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -499057, -499216, -499483, -499858, -500341?\nAnswer: -500932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 15 = -3*x, -x + 3*a + 18781 - 18768 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1776 + 3264. Suppose 5*i - c = -4*x, 0*x = 3*x + 3*i - 1113. Does 37 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, -5, -1 in increasing order.\nAnswer: -5, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -9, -4 in decreasing order.\nAnswer: 72, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raraarababbaabaaavaa. Give prob of picking 2 r and 1 b.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 divided by -5?\nAnswer: -1232\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 44*y + 38. Let z(k) = 213*k + 11. Let w(l) = 155*l + 8. Let j(q) = -11*w(q) + 8*z(q). Calculate j(m(i)).\nAnswer: -44*i - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 29274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/350)\/((-1532)\/7660).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/4 + 7*d**3\/4 + 17*d**2\/4 + 17*d\/4 + 3\/2.\nAnswer: (d + 1)**2*(d + 2)*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -u + 4*b + 23, -b = -2*u - 16 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988.3028mg to tonnes.\nAnswer: 0.0000009883028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/55 and 38\/29665035?\nAnswer: 326315385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 3 (c) 33 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(192) - (sqrt(192) - ((sqrt(192) - (sqrt(192) + -2 + sqrt(192))) + 1)) - sqrt(192))*2)**2.\nAnswer: -1536*sqrt(3) + 12432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -198.004167 to one decimal place.\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (5 + -18 - -22).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, i: 11}. Give prob of sequence iiii.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) - sqrt(4)\/(-2*sqrt(2))).\nAnswer: -2 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3510 is divided by 868?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 11\/6 (c) 0.4 (d) 3 (e) -1\/10 (f) 319\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 2810 = 4*j - 2746, 2*j + 13*x = -48 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2806 and 22814.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 3*i + 7. Let o(j) = j**2 + 4*j - 7. Let r(x) = 3*o(x) + 2*u(x). Calculate r(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 72040365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 12:12 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2706.054275 to zero dps.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/9 + 1699*p**3\/9 - 1472*p**2\/3 - 1147136*p\/9 + 12591104\/9 = 0. What is p?\nAnswer: -29, 16, 1696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 9*h**2 + 3*h - 17. Give x(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-156)*-3)\/((-20)\/(-40))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -3, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17341911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 200 + -175.5. Let s = y + -24.6. What is the smallest value in 8, -1, s, -1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h - 2. Let t be o(3). Let u = t + -4. Let i = -20 + u. Let l(q) = q**3 - 1. Let x(j) = -7*j**3 + 7. Calculate i*x(w) + 6*l(w).\nAnswer: -w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -14.9. Let d = g - -15.0009. Round d to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(931) + -4)*-4)**2.\nAnswer: -10752*sqrt(19) + 240640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977375 is divided by 59920.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6*18\/945*5\/(-2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/1*(-8 + 0). Let d = 36 - g. Suppose -2*k - 26 = -d*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -12. Let l be ((-4)\/d)\/(1\/6). Find the second derivative of -h - 3*h + 121*h**l - 125*h**2 wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59032 and 376.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 678033 and 54?\nAnswer: 4068198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35638 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0*i\/((i*i**(-1\/7))\/i)*(i\/i**3)\/i**(-4\/9) assuming i is positive.\nAnswer: i**(-26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -108269, -107337, -106405?\n\"Answer: 932*d - 109201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 56*t**2 + 56*t + 59. Determine c(-55).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Suppose -2*q - 12 = -6*q. Sort q, z, 2.\nAnswer: 2, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 1540?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15304 to three dps.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3, -2*v - 2*j + 301 = -v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**6\/60 + o**4\/8 + o**3\/6 + 7517*o**2. Suppose -a = -3 - 7. Suppose 6*v + a = v. Give k(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -630.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300473259 is divided by 869.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 10. Let g be w(9). Let d be g - 3 - (3 - 2). Let x = -0.23 + -0.77. Which is the second biggest value? (a) 0 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3.3. Let s = 49 + -48.7. Which is the third smallest value? (a) s (b) 1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16661129.\nAnswer: 41, 251, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176 = 103*k - 124*k. Suppose 3*r = -2*d - 27, r - 2*d + 0 = -1. Is (k\/(-6))\/r*150 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.546 - 6.546. Which is the closest to q? (a) 0.5 (b) -0.21 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76.4 - -84. Let a = s - 7. Let d = a + -2.6. What is the nearest to d in -0.3, 1, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5 + 5. Calculate the remainder when (u + 7 + 2)\/(5\/30) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 12*x + 3. Let j be c(-12). Solve 2*n - 5*r - 11 = -j, 5*r - 4 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 12476163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 566 (c) 2 (d) 5 (e) -4 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from alizilziiiimiiizml.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.25 - 0.61. What is t rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*p + 2*h - 67, 3*p = 2*h + 17. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/468, -1, -5, -4 in increasing order.\nAnswer: -5, -4, -3, -1, 1\/468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8627, -8631, -8637, -8645, -8655?\nAnswer: -8667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -95.59438 and 0.1.\nAnswer: -9.559438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 4*u + 3. Determine m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 - 12*r**2 + 306*r\/5 - 432\/5.\nAnswer: 2*(r - 24)*(r - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10382 and 829486.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 1, j: 1, b: 1, a: 2, n: 1}. Give prob of sequence amj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141 - -157. What is the third smallest value in -1\/5, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 8 = -x, 3*v = v - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + ((3*(2 + sqrt(7)) + sqrt(7))**2 - sqrt(7)).\nAnswer: 51*sqrt(7) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*9600\/1350 + (8 - -1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.54 less than 0.3564983?\nAnswer: -14.1835017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251371?\nAnswer: 41, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c**2 + 89*c + 1. Is r(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsnfmnnkn. What is prob of sequence fnks?\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 215 = 3. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543234964 to the power of 1\/2, to the nearest integer?\nAnswer: 23307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/1408*40*-1*4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2873304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (79 + (-2)\/(-2))*108\/135.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(690\/(-92))\/((-42)\/280).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-5)*(-25)\/(-10). Let g = h - -3. Solve g + 0 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 5*n + 2*n)*(3 - 2 + 0) + (-1 + 3 + 5)*(0*n + 5*n - 2*n + (-3 + 3 + 1)*(-1 + 1 - 2*n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 12 = -10*t + 11*t, 60 = 5*t - 2*s. Solve -3 = 5*n + 5*w + 7, -4*w + t = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770297?\nAnswer: 3, 590099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-7))\/(-120)*(-1161)\/(-258)\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -72. What is the greatest common factor of h and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 1, -18, -57, -122, -219?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/1 - 5)\/(-5 + 3). Let j be 0 + 0 - (-1 - 0). Suppose x - j = 2. Solve 0 = x*y + t*i - 30, -2*y - 5*i + 9 = -26 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26085?\nAnswer: 3, 5, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbl when three letters picked without replacement from bblllltlbblbllb?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 648 and 36?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l**2 - 6*l + 2. Let q(r) = r**2 - 2*r. Let t(z) = 191*z + 2*z**2 - 4*z**2 - 188*z. Let p(w) = -5*q(w) - 3*t(w). Give m(k) + 5*p(k).\nAnswer: -3*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15427*y - 9 = -15424*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/3 - 7166*u\/3 + 57200\/3 = 0 for u.\nAnswer: 8, 3575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 z when four letters picked without replacement from wzwjjzzjjwjzwj?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 232102 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6750 divided by -90?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -28.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -179*l + 895. Calculate f(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*v - 2*v - 39 = 0, 21 = -3*t + 3*v. Let f be (-2 + 10\/(-4))*(-6)\/t. Let p = 52 + -51.9. Which is the nearest to 0.1? (a) p (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/8050 and 33\/1610.\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -31*z - 692. Calculate m(-18).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6777517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1062 divided by -2.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 2788*w + 945264.\nAnswer: -2*(w - 1676)*(w + 282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 less than 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*n = -368*n - 604. Let j = -245 + 98. Let r = j + n. Solve 26 = 4*h - 0*h - 2*i, -31 = -r*h + 3*i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -8. Let a = -9 + d. What is the nearest to a in 0.3, 0.4, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10047, -17498, -24949, -32400, -39851, -47302?\nAnswer: -54753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1060*g**2 + 1064*g**2 - 2166*g**2.\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323 (base 7) in base 3?\nAnswer: -200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**11*f*f*f**(-1\/12)*f)\/(((f**(2\/13)*f)\/f*f)\/f*f)**(-5\/3) assuming f is positive.\nAnswer: f**(2471\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 57 + 199 = 0. Is 38 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/100*(42\/12 + -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:41 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 - 11*z**4\/12 + 79*z**3\/6 - 9279*z**2. Give n(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -150559936.4 rounded to the nearest one million?\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -3*d**2\/2 + 3*d + 1274. Determine l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 11\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*k - k. Suppose 14*a - 64 = k*a. What is the remainder when 93 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 56.006. Let k = 0.0004 - l. Round k to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n**2 - 8 - n**3 + 27 - 113*n + 100*n. Let u be o(10). Let f be (u - (-2 + -3))*(-1)\/3. Solve 3*q - f*c = 6, -c - 4 = -2*q - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 7 - -3 - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.98055432 + -42366?\nAnswer: -42372.98055432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-75))\/((13 + -11)*-21*(-9)\/126)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 10\/175*65\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295915927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a, 3*g - 9 = 5*a - 0*a. Suppose d = g - 4. Let v be d - -1 - (-48)\/2. What is the greatest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105\/4*k + 45\/2 + 10*k**2 + 5\/4*k**3.\nAnswer: 5*(k + 2)*(k + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244538613.\nAnswer: 3, 11, 1459, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 122 and 124 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w - 13*w + 2*w**2 + 36*w + 13*w. Let o(r) = -186*r**2. Calculate f(o(x)).\nAnswer: 69192*x**4 - 5766*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + 8*c**2 - 4*c + 3. Let r(f) = 3*f**3 - 15*f**2 + 8*f - 7. Let d(v) = -5*l(v) - 3*r(v). What is the units digit of d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n**2 + 237*n + 500. Calculate i(17).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -23*g**2 + 713*g - 2480. Calculate p(27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43911529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4109448 by 56.\nAnswer: -73383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 884950 and 550.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65812 + -22364. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:30 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 114734978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2603, 5207, 7811, 10415, 13019, 15623?\n\"Answer: 2604*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/5 + 2*18\/(-27). Let m be (-1)\/(-1) + (-6 - -10) + -28. Which is the nearest to m? (a) h (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6 - 0)*-9. Let u be n\/(-15) - 4\/10. Let j be 4\/(-10)*(-7 + 17). Put u, 3, j in descending order.\nAnswer: 3, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*d + d - 5*d + 480 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -34. Let u be l\/4 - 16\/4. Solve -6*g = -u*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/152528 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2986232104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -24. Let y be (-144)\/n*3\/6. Let r be y\/15 + (-756)\/35. Is -21 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58220 and 15.\nAnswer: 174660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.342 - -28.442. Which is the second biggest value? (a) 0.5 (b) -189 (c) -1\/4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 755 - 755.00000674. What is n rounded to 7 decimal places?\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*w = 15, 3 = -v - 3*w - 6. Let c = v - -12. Solve c = -a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omdmdndomnnnddd. Give prob of sequence dodd.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 518636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from iqixiqhqhhiiii?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 l, and 1 x when four letters picked without replacement from xrdxrrrxrllrl?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5258859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379643555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 881 - 533. Find the second derivative of -9*p + 0 - z*p**5 + 284*p**5 - 2 wrt p.\nAnswer: -1280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from wwdwwwwwwiwwww.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8*v - 7*v + 54, v = 2. Let r(d) = 4*d**3 - 56*d**2 + 4*d - 15. Let i be r(x). Calculate the greatest common factor of i and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - ((39 - -24) + -17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/3 - 2\/3. Let c = 136 - 1222\/9. Put c, -0.5, p in ascending order.\nAnswer: -0.5, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24450 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2704*i**3 - 2696*i**3 + 5381*i**3.\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1738 and 140133202?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 24\/20*5. Let c(h) = -3*h**3 + h**2 - h. What are the prime factors of c(i)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, -42, -113, -222, -375, -578?\n\"Answer: -f**3 - 10*f**2 - 2*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7 = 11. Let c be z*(-1 - (2 - 0)). Suppose -c*g - 30 = -6*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5787819 at least 5787819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or -695?\nAnswer: -695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 359 and 1470464?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-10 - ((-1 - 2) + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5686)\/28*-80 - (-236)\/826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 34 - 108*d - 21 to g + l*d and give l.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**8\/28 + 4*b**6\/15 + b**4\/2 - b**3\/6 + 13*b. What is the third derivative of g(o) wrt o?\nAnswer: 240*o**3 + 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.6 + 1.6. Let l = w - -3.00000197. Round l to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/(h*h*h*h*(h*h**1)\/h*h))\/(h**(-2)\/h*h*h**(1\/4)) assuming h is positive.\nAnswer: h**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -119 and 3?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + (-66 - -67).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25026 - -25068. What is the remainder when 957 is divided by j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/2 - 2*q**3 + 3*q**2 - 3*q + 1. Let f be g(4). Suppose 0 = 2*i - 169 - f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 9*k**2 + 23*k + 63. Let b be (-1)\/((5 + -2)*43\/903). Determine r(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -1 - 1\/2*a**2 + 0*a. Let r(j) = -4*j**2 - 5. Let i(b) = -4*b**2 - 6. Let l(w) = -5*i(w) + 6*r(w). Give d(l(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 8 - 1 - 2*a**2 + 17*a - 21 + 5 in the form s + f*a**2 + u*a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1715.95 - -1718.95. Let g be 2 - (1\/(-2) + 1). Which is the fourth biggest value? (a) g (b) p (c) 6 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*s - 15*s - 9*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -n + 4*g, 0*g + 3*g = -2*n + 39. Let h(t) be the first derivative of 4*t**2 + 2 + 7*t**2 - t**2 - 4*t**2 + n*t + t**3. Factor h(f).\nAnswer: 3*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 299 + -303. Which is the closest to 0.2? (a) k (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17\/(255\/(-20)) - (-427)\/153. Let s = 21\/17 - n. Which is the nearest to -57? (a) -4 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -27. Suppose 3*o - 6*o + m = -1, 2*m = 4*o. Let b(v) = 35*v - 1. Calculate the smallest common multiple of b(o) and q.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110*c*u + 1587*c - 155*u + 7 wrt u.\nAnswer: 110*c - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 31*w - 23. Calculate i(-20).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1502987780, -1502987781, -1502987782?\n\"Answer: -t - 1502987779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:20 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 7 = -11. Does 11 divide (-1095)\/45*j*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/2*18\/15. Let j(w) = -a + 1 + 2 + 1 - w. Determine j(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1899, 3780, 5669, 7566, 9471, 11384, 13305?\nAnswer: 15234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/6)\/(8\/18). Suppose i = 3*l + 6. Let p = -137 - -1371\/10. What is the closest to l in -1, 4\/5, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 215 - 83 = 0. Suppose i = 11*y - 0. Solve -5*m - y*c - 12 = -m, -3 = -m - 4*c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 24*u. Let a(x) = 6*x - 8*x + 5*x - x - 3. What is f(a(o))?\nAnswer: 48*o - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 124757496 - 168*d - 124757496 + 6*d**2 as m*d**2 + t + z*d and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 + 688 = 227*o - 1451. Solve -o*a - 163 + 171 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3 + 5*x - 4*x + 3. Let y be c(-5). Let g be (-3)\/9*(-13)\/((-312)\/(-9)). Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3249646633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 105 = 4*a + 9, 3*a = 2*n + 62. Calculate the remainder when 86 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:17 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/99, -15, -2\/3, 0, 23\/5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 40. Let l(c) = c**3 + 8*c**2 + 73*c - 87. Let v(i) = -4*i**2 - 36*i + 44. Let d(n) = j*l(n) + 9*v(n). Determine w so that d(w) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1575*z + 8604. Let v(p) = 393*p + 2152. Let r(n) = 8*c(n) - 30*v(n). Find the first derivative of r(q) wrt q.\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4\/5 + 16*t**3\/5 + 4*t**2 + 8*t\/5.\nAnswer: 4*t*(t + 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/3066 and 11\/161.\nAnswer: 70518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 3*y + 3*y - 0*y. Is y bigger than -13\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -4, 13.7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/5, -3\/7, 2 in descending order.\nAnswer: 2, 2\/5, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3372 or 6743\/2?\nAnswer: 3372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -546*v + 21. Let y be m(-7). Let n = y - 61393\/16. Calculate the common denominator of -131\/12 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -543 + 978. Find the first derivative of -451*b - 40 - l*b + 939*b wrt b.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(0*w**4 + 14*w**4 + 2*w**4) - 74 + 74 + 2*w**4 + 5*w**3 in the form z*w**4 + a*w**2 + i*w**3 + s*w + q and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 43.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 24*l + 16 = 26*l, 10 = 2*u - 4*l. Let b(c) be the first derivative of -22\/3*c**u + 0*c + 9 + 0*c**2. Let k(z) = -2*z**2. What is k(b(w))?\nAnswer: -968*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzxxzxzzzzxzxxxxxxx. What is prob of picking 1 x and 3 z?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i**11)\/(i**1\/(i\/(i*i**(-10)))) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9829.371 hours?\nAnswer: 35385735600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 231018\nAnswer: 3927306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -172, -185, -198, -211, -224?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8983306 or 8983307?\nAnswer: 8983307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6552)\/(-792))\/(-91))\/((-5)\/2).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -21*k**2 - 2*k + 2. Let o be c(-3). Let p = -95 - o. Is 34 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a. Let u be 16\/(-28)*(-14)\/4. Let w = 2 + 2. Let p(v) = -u*v - 3*v + w*v. Give p(q(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9725)\/(-389)*8\/3100.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 7, c: 2, m: 1, r: 8}. What is prob of picking 2 r and 1 m?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 104. Suppose 0 = -3*v - 3*f + g, 3*v - f - 56 = -2*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**2 + 4. Let j(k) be the third derivative of 1\/30*k**5 + 2*k**2 + 0 + 0*k + 0*k**3 + 0*k**4. What is j(v(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 722500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-4)\/24*-2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -16637 greater than or equal to -16642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2487.4 to the nearest 10.\nAnswer: -2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*h = 6 - 1, l - 3*h + 1 = 0. Suppose 0 = 5*x - 3*u - 320, 2*u = -l*x - 57 + 201. What is the remainder when x is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-150)*(-6)\/(-8). Which is bigger: 0.05 or l?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24972, 1, -3, 4, 5, 2 in ascending order.\nAnswer: -3, 1, 2, 4, 5, 24972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93265521 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 3*v**2 - 3*v**2 + (-v**2 + 3*v**2 + 0*v**2)*(10 + 5 - 13) + 7*v**2 + v**2 + v**2 - 5*v**2 + 2*v**2 + v**2 to m*v**2 + b + y*v and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.39 - 1.34. Do 9 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -6) + 15 + (-420 - -449) - (-4 + 0)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43275 * -22861.\nAnswer: -989309775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**4 - p**3 + p**2 + p. Let w(h) = 28*h**4 + 5*h**3 - 5*h**2 - 6*h. Let x(f) = -5*m(f) - w(f). Find the second derivative of x(l) wrt l.\nAnswer: -396*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11 - 3\/((-864)\/4188) and 83\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from iiziziizzbizlzbbii.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36953766 to the nearest integer?\nAnswer: 6079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -212117?\nAnswer: 212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 18*n**3 - 2*n. Let b be t(2). Let k be 61\/b - 2\/5. Let l = k - 19\/140. What is the common denominator of -29\/9 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81651?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3 + 161551*g**2 - g - 716152 wrt g?\nAnswer: 6*g**2 + 323102*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 14*h**2 + 10*h + 375. Let t be b(-15). Solve 29*u + 1 + 28 = t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/(8\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1335 + -122821\/92. Let i = 361\/644 - g. Let o be (-3)\/(-6) - 3\/4. Which is the closest to o? (a) i (b) 5 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -12*i**3 - i**2. Let l be 14\/((-70)\/(-15)) + -2. Calculate d(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5952.16237 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 8*z + 15. Let n be u(6). Let j be (-4)\/18*n*(-9)\/6. Sort j, 0, -1, -8.\nAnswer: -8, -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) 4 (b) 0.3 (c) -4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2037 and -10\/33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1317365 and 16980.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -1\/4821, 2?\nAnswer: -1\/4821","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5962.\nAnswer: 2, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -376\/7. Let m = 17.3 + -14.3. Sort -1, d, m.\nAnswer: -1, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1, -0.1, 1148.\nAnswer: -1, -0.1, 1\/2, 1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/109, 0.2, -2\/57, 8, -4 in decreasing order.\nAnswer: 8, 5, 0.2, -2\/109, -2\/57, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 808 and 2929.\nAnswer: 23432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/5 - 11*j**4\/5 - 673*j**3\/5 + 11*j**2\/5 + 672*j\/5 = 0. What is j?\nAnswer: -21, -1, 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 2*h**2 + 2*h - 1. Let b be d(2). Suppose 0 = -3*f - f + b*q + 20, -2*f = 2*q + 4. Solve -5 = -o - f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 897, 3029, 7179, 14019, 24221, 38457, 57399?\nAnswer: 81719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 6. Let q be x(-10). Suppose w + 1 = q. Suppose w*n + 2 = 17. Solve 0 = -n*b - 4*c + 11, -3*b + c = -c - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -71 (b) 0 (c) 0.3 (d) 10 (e) 2\/7 (f) -0.4 (g) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - 2\/(30\/(-215)). Suppose -h = -4*q + 4*h - 39, q + r = 3*h. Let a(j) = -2*j**2 - 10*j + 5. Let c be a(-5). Sort 1, q, -2, c in increasing order.\nAnswer: q, -2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*0.0627.\nAnswer: 0.5643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 93. Let q = j + 15.8. Let y be 2\/(-3)*1\/(-6). Sort q, -0.02, -0.1, y in increasing order.\nAnswer: q, -0.1, -0.02, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 154, 3, 0, 2 in decreasing order.\nAnswer: 154, 3, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9654\/5 at most -1932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -171 + 9421820?\nAnswer: 9421649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/15)\/((-3)\/26). Suppose 76 - r = x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 109, 117, 129?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 6 + 12. Suppose -3*z = 5*t - 500, t + l = 4*t. What is z rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11 - 12*s - s**2 + 4*s - s. Let f be i(-3). Solve 5*l = -13 - f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 52 + -1 + -1 + -71.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 r, and 1 f when four letters picked without replacement from {r: 1, k: 2, f: 2, b: 4, x: 2, e: 8}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**7\/2520 - r**6\/240 + r**5\/120 - r**4\/8 - r**2. Let d(x) be the second derivative of l(x). What is d(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29851\/5776 + 7\/361. Let q be 0 - (-5 + 0)*(-2)\/(-5). What is the common denominator of (q\/(-72))\/(18\/4140) and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 - 3*p**2 + 16*p + 9. Calculate x(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 156 = 35 - 14 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uux when three letters picked without replacement from xxuxu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 + 3*o**2)*(4*o - 2*o + o)*(-1 + 1 - 2) - 2*o - 2*o**3 + 2*o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 95.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35009*q**5 + 149*q**3 - 19550454*q**2 + q wrt q?\nAnswer: 2100540*q**2 + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1, -0.085, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19127 divided by 5364.\nAnswer: 19127\/5364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2 - 2*n + 0 + 0 + 3*n. Let z be b(8). Suppose 3*s = -s + 400. What is the greatest common divisor of s and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**2 - 148472*u + 28654080 = 0 for u.\nAnswer: -37310, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 13. Suppose n = b - 0 - 6. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -24. Let r be -1 + -2 + (3 - -52). Suppose -2*v + r = a, 3*v = 2*a + 84 + d. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 52 + 52. Let n(t) be the third derivative of -3*t**4\/8 - 29*t**2. What is c(n(b))?\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20210 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243350127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5984 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 - 0.737?\nAnswer: 6.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-37)\/(y**(-2\/5)\/y**(-1\/12)) assuming y is positive.\nAnswer: y**(2239\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6024, -11942, -17860, -23778, -29696?\nAnswer: -35614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 5*m - 6. Let p be k(-6). Let z = p - 4. Let i be (-1 + 3)\/z*0. Solve -d - 1 = -i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 - 129. Suppose 0 = -5*t + 5*f + 7143 + 5897, 0 = -3*t + d*f + 7822. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2. Suppose 190 = x - z, -4*x + 736 = -0*x + 2*z. Let s(d) = 97 - x - 41*d + 89. Determine f(s(p)).\nAnswer: 1681*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*j - 3*z, 5*z - 6*z + 9 = j. Suppose o + 0*o = -j. Let q = 4 - o. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (99\/(-50))\/(1032\/215) and 43\/110.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -7.1. Which is the smallest value? (a) z (b) -10 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 0*r + 5*r + (-4 - 2 + 5)*(r + 3*r - 3*r) - 2*r + 0*r + 0*r + (-2*r + 1 - 1)*(2 + 2 - 2) + 3*r + 0*r - 4*r - 5*r + 49*r - 6*r.\nAnswer: 34*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*s = -621 - 31, 10 = -5*s. Let v be g\/(-9)*-3 + 11 + -7. Calculate the highest common factor of v and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3049, 131, -1 in decreasing order.\nAnswer: 3049, 131, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 130728903 and 130728903 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339842257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -5205918?\nAnswer: 5205936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 1 + (-162)\/3. Let q = -50 - s. Find the third derivative of -42*m**2 - 5*m**4 - q*m**4 + 26*m**2 wrt m.\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.4 - -3.59. Let a = z + 2.81. Sort 4, -0.1, a in ascending order.\nAnswer: -0.1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 276 - 119. Suppose -3*b = -2*t + 4*t - 81, 0 = -4*t - b + w. Calculate the greatest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 + 240 + (7 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 303.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -99*y**2 - 26*y + 162. Let d(l) = -75*l**2 - 20*l + 122. Calculate 9*d(b) - 7*j(b).\nAnswer: 18*b**2 + 2*b - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 286\/8 - 3\/(-12). Suppose -2*w - 9 = -3*w. Calculate the greatest common divisor of q and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aakaajjkaaa. What is prob of sequence kaja?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 44 + 37 - 82 + v. Let a(t) = 10*t - 3. Determine -a(l) + 5*w(l).\nAnswer: -5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695535*w + 347813*w + 347696*w.\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206 is divided by 586?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3708 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 176516 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - t - 3. Let s be u(0). Let n = 5 + -2. Suppose c = -n*c - 20. Sort c, s, -4 in ascending order.\nAnswer: c, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 1. Let h be m(-3). Suppose h*l = 4*q + 32, -4*l + 55 = -5*q + 15. Let t be q\/(-6)*3\/2. Solve -k + 6 = -3*k - 5*b, t = -b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from mlmmtltllmmmlmm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 24\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = -0*w. Suppose -w*y + 61 - 1 = 0. Let p be (20\/y)\/(2\/6). Solve 5*t = -p + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -225*i - 461. What is w(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**7\/840 - n**5\/30 - n**4\/8 - 2*n**2. Let o(z) be the second derivative of v(z). What is the derivative of o(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 7. Let t be p(-4). Let l(r) = 2*r - 2. Let a be l(t). Suppose 5 = m + a*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 534138 by -178046.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 98 = r - 3*g, 5*g = 2*r - 56. Suppose k - r = -13. Let n = k - 8. Solve -n = -3*l + 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2439 and 306.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.275 * 17503.\nAnswer: -4813.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 17 = -4*j, -2*l - j + 7 - 1 = 0. What is the third smallest value in -1, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i. Let b be a(2). Suppose 26 = 3*r - b. Solve 2*v + 2 = 4*o + r, -2*o - v = 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7 (b) 0.3 (c) -0.1 (d) 0.6 (e) 2985 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.6. Let i = -0.2 + f. Let w = 0 - 0. Sort w, i, 0.2 in descending order.\nAnswer: i, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1575972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 9*y - 13*y. Calculate the remainder when 138 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190119.\nAnswer: 3, 127, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3618 or -8426?\nAnswer: -3618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -2.04. Let h = 3.98 - -0.02. Let n = h - 8. Put n, c, -0.1 in ascending order.\nAnswer: n, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42165)\/(-118062))\/((-14)\/(-16) - 1)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9))**(-10)\/(o**(-4))**(-35) assuming o is positive.\nAnswer: o**(-1280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (17 - 8)\/27*141\/14 and 95\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -732*v. Let f(l) = -975943*l. Determine z(f(s)).\nAnswer: 714390276*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/4)*a)\/a)**(-40)\/((a**7*a)\/a**(-2\/7)) assuming a is positive.\nAnswer: a**(-408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - o**2 + 6*o + 4. Let j be m(-4). Let w be j\/49*2\/40. Which is bigger: w or -5\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-1\/8)*s)\/s*s)\/(s*s**(-1)*s*s*s)*s**(-5)*(s**(-2)*s)\/s*(((s**5*s*s*s)\/s)\/(s**(2\/5)*s))**(2\/35) assuming s is positive.\nAnswer: s**(-1361\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/9 - 964*j\/9 - 116162\/9 = 0 for j.\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 61. Suppose -2*b = u - 16 + 1, -3*u + 56 = -5*b. What is the highest common factor of x and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 8. Suppose 3 = 4*m + k, -2*k = 4*m - 3*m + l. Solve -m + 1 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 9)*(-m**3 - 3*m**2 + 3*m**2) - 4 + m + m**3 + 4 + (5 - 1 - 6)*(2*m**3 + 0*m**3 - 3*m**3) to the form o*m**2 + a*m + z + b*m**3 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -188*x + 60. Let r be p(-6). What is r rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -238*x**2. Let o(s) = -2018763*s**2. What is c(o(u))?\nAnswer: -969946163940222*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.8? (a) 1\/2 (b) -2\/25 (c) -6 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9006 and 684.\nAnswer: 54036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 + 0.43. Let u = 0.539914 - w. What is u rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 0*k**3 - 1\/2*k**2 + 0*k + 1\/8*k**4 - 2. Let u(b) be the second derivative of s(b). Let w(c) = 2*c. Give w(u(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2. Let b(p) be the second derivative of 17*p**3\/3 - 7*p**2\/2 - 2572*p. Determine c(b(s)).\nAnswer: -3468*s**2 + 1428*s - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2870*l*o**2*s**2 - 130*l*o*s**2 + 128*o**2*s**2 + 3*o**2*s - 184*s**2 wrt l?\nAnswer: -2870*o**2*s**2 - 130*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4439*x**5 + 250*x - 6 wrt x.\nAnswer: 88780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j - 3*j + 20 - 9. Let g(v) = 5*v - 5. Calculate -13*g(p) - 6*l(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*c + c**2 + 8*c - 35*c)*(3*c**2 - c**2 - 4*c**2).\nAnswer: -2*c**4 + 22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -5, -5\/3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (39 + 9 - 70).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14.5? (a) 0.1 (b) 5 (c) 4 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(8\/5)*x*x*x**(5\/6))\/((x\/((x**(-11)\/x)\/x))\/(x*x*x**(-2\/41)*x*x*x)) assuming x is positive.\nAnswer: x**(-5923\/1230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 3*k - 22. Let r be u(4). Let c = 30 + 80. What is the highest common factor of r and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 347.\nAnswer: -29\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {i: 4, h: 1, c: 6, m: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 2*k = -20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-20) + 10\/4. Suppose -2*z + j = -1, -g*j + 8*j + 16 = 2*z. Let f(o) = o**2 - 1. Give f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2. Let i(o) be the first derivative of -10\/3*o**3 - 2*o + 0*o**2 - 4. Give w(i(f)).\nAnswer: -100*f**4 - 40*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**2 + 3*f - 2. Let h(m) = -7*m**2 - 7*m + 2. What is 3*h(j) + 5*s(j)?\nAnswer: -j**2 - 6*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h**(1\/4))**(-23) assuming h is positive.\nAnswer: h**(621\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 49*n + 836. Let t be z(-17). Let f(k) = 4*k**2 + 7*k - 7. Determine f(t).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100\/11 or 9?\nAnswer: 100\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-3) - (-2)\/(-6). Let g be -6 + 9 - 6\/(-2). Solve -z**3 - m + z**2 + 3 + g*z - 5*z + 0*z = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.237 + -0.037. Let k = -3.2 + h. Which is the third biggest value? (a) -5 (b) 0.03 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2618\/(-1078))\/(7\/(-147)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -46, -163, -390, -763, -1318, -2091?\n\"Answer: -6*p**3 - p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v - 5*b = 199, 107 = 2*v - 5*b. Suppose -48*o = -v*o - 106. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79480.\nAnswer: 2, 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-140)\/(-3 + -2). Let h = 298 - 82. What is the highest common divisor of h and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1049 + 1059. Suppose a + 4 = d + 4*a, -d - 4*a = -1. Let p = -2 - -4. Solve -3*b = p*c - j, 4*b - d = c + b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-435*u + u**2 + 436*u + 3*u**2)*(4*u**3 - 4*u**3 + 2*u**3).\nAnswer: 8*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -1, -8302762 in decreasing order.\nAnswer: -1, -5\/2, -8302762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 109*r + 222*r + 2 - 7*r**2 - r**3 - 110*r + r**3. Calculate u(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*j = -58, -2*a + 184 - 68 = 4*j. Let q = a - 38. Suppose -2*l - 6 = 0, w - 28 = 3*l - 6*l. Calculate the remainder when w is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 8:01 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-9) + (-2880774)\/(-2106). Calculate the highest common divisor of 504 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28048067 is divided by 6965.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 124*r + 143*r - 1.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2\/5 (c) 980439\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k + 6 + 2*k + 7 - 5*k**2 + 0*k. Let y be t(4). Let q = y - -95. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111001111 - -100000011?\nAnswer: 10011011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -1276737.\nAnswer: -153208.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 31, 110, 241, 430, 683, 1006?\nAnswer: 1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/4)*c*c)\/c**(3\/26) assuming c is positive.\nAnswer: c**(163\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 115112, 459417, 1033260, 1836641, 2869560?\n\"Answer: 114769*u**2 - 2*u + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 28*i - 7. Let r(l) = 14*l - 4. Let k be 155\/(-35) + (-33)\/(-77). Give k*c(g) + 7*r(g).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 112076563.8 minus -168.01?\nAnswer: 112076731.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*l**3 - 206*l**3 + 1228*l**3 - 317*l**3.\nAnswer: 411*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751008316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (sqrt(13) - (sqrt(91)*-2)\/sqrt(7))**2).\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -20893, -0.56, 1, 4?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-3 - (-885778)\/44). Let l = -20125 - i. What is the common denominator of -7\/24 and l?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2305646?\nAnswer: -2\/1152823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73461.59 millilitres to litres.\nAnswer: 73.46159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1127 and -193\/173880.\nAnswer: 1217160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8182 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24157)\/17255*10\/(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 13*u**2 - 1536*u + 2116. Determine m(-34).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-9\/10)*(p\/(p*p\/((p\/(p\/(p**(2\/3)\/p)))\/p)*p))\/(p**6\/p))**(1\/3) assuming p is positive.\nAnswer: p**(-277\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -16. Let w(r) = 14*r**2 - r + 1. Let i be w(j). Suppose 0*y + i = y. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31 - 20849*w + 20853*w - w**3 - 2*w**4 + 2103*w**5 - 13 wrt w?\nAnswer: 42060*w**3 - 24*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106435514.\nAnswer: 2, 191, 278627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 6*r**2 + r + 1. Let s = -10 - -16. Let y = 0 + 4. What is the remainder when a(s) is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 = g. Let v = -1.75 - -3. Let k = v - 0.25. Which is the closest to -3? (a) g (b) 0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -465124*w**3 - 5375897736*w**2 + 63060432*w - 184928 = 0?\nAnswer: -11558, 2\/341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2. Let z(y) = -24*y + 1. Give z(j(g)).\nAnswer: -120*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 3. Let n be h(-4). Suppose 3*l + 4*j = -j + 31, 0 = -3*l + 2*j - 4. Suppose -l*i = 5 - n. Solve 0 = i*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4429 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7097.347 millilitres in litres?\nAnswer: 7.097347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddu. What is prob of sequence dud?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4397 - 4368. Suppose 2*o - 60 = 282. What is the remainder when o is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 109.3355.\nAnswer: 111.3355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4.3. Let s = u + 0.8. Let v = -0.2 - 0.3. Which is the biggest value? (a) v (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(sqrt(85) - (sqrt(85) + sqrt(85)*-3))\/sqrt(5))**2 + -4 + (sqrt(1700) + -1 - sqrt(1700))**2 + -4.\nAnswer: 49565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12820*a + 10*a**3 + 27 + 12820*a in the form p*a**2 + u + f*a**3 + s*a and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 15 = -18*c. Suppose f + 25 = 3*q, 2*f + 2*f + 20 = 2*q. Calculate the greatest common factor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -4, -6, 2\/7.\nAnswer: -6, -4, -3\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.4 - 2.6. Let m = n - -45. Which is smaller: m or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110390 and 1140.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32120 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56465552 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -34709?\nAnswer: 34708.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -11\/302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-686)\/(-56))*1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 > 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 62 = 14*a. Solve a*h - 1 = -19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**4 - 65*q**3 - 195*q**2 - 135*q = 0.\nAnswer: -9, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/4070820 and -63\/6140.\nAnswer: 4070820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 49 = -h, 4*a - 2*h = -7*h + 205. Suppose -2*m + a - 10 = 0. Solve -7*g = -3*g - m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 22*n - 22. Let p(r) = r**3 + 3*r**2 - 5*r + 7. Let s be p(-5). Let t be a(s). What is the highest common factor of t and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 q when four letters picked without replacement from edeeeddedeeeweeqq.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 - -0.6. Let v = l + -4. Suppose 2*x + 4*m = -4, m + 1 = -14*x + 12*x. What is the nearest to 1 in x, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 6*s**2 + 4. Determine m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.8 - -8. Suppose n - 2 = 4*i - n, -3*i = 2*n + 12. Let d = 33 + -33.3. Which is the third biggest value? (a) i (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/((-20)\/12 + 2). Solve -3*i - 2*r - 7 = 0, -y*i = r + 2*r + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-185)\/(-3))\/((-59)\/(-1239)).\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/6 + (-2)\/6 + 1. Which is smaller: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-332))\/(167246\/7016). Let r = s + -1\/9838. Let z = r + 100187\/16932. Calculate the common denominator of z and 111\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479640563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 18*b + 17. Let q(p) = 3*p**2 + 720*p - 2. Determine r(q(i)).\nAnswer: 54*i**2 + 12960*i - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 70, 4, -20, -12.64?\nAnswer: -12.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, o: 6, l: 4, u: 1}. What is prob of sequence ou?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1913 + n**5 - 33*n**4 + 123*n**4 - 15*n**2 + 1913 wrt n.\nAnswer: 60*n**2 + 2160*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(700) - (-2*sqrt(700) + sqrt(700))) + sqrt(700) + -4)*-2*-5)**2.\nAnswer: -216000*sqrt(7) + 5684400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/20 - i**4\/12 + i**3\/6 + 7*i**2\/2 + i. Let t be h(0). Let q = t - -2. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/80 + 11\/(-55). Let y(r) = r**2 - 6*r + 4. Let a be y(5). Put a, 1, s, 5\/9 in ascending order.\nAnswer: a, s, 5\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123)\/(-164)*(-20)\/6)\/((-5)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 51. What is the greatest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**4\/14 + 10*l**3\/7 + 47*l**2\/7 + 66*l\/7 - 9065. Factor d(g).\nAnswer: 2*(g + 1)*(g + 3)*(g + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 2*l = 17*v - 112, 40*v - 11*v - 27*v - 43 = v + 2*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36 + 1 + 32291*j - 32358*j wrt j.\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 9:38 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -256*c**4 - 246048*c**3 - 59258961*c**2 - 66432960*c - 18662400.\nAnswer: -(c + 480)**2*(16*c + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 27*o**2 - o. Let j(r) = 8*r + 57. Let x be j(-7). Determine n(x).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 233125 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19620824837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viiivvviivivviiiiivv. What is prob of sequence iii?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*j = -15, 3*m - 6 = -j + 3*j. Suppose m = 4*c - 24. Suppose 2*t = -4*k + 38, k - 3*t = c + 21. Calculate the remainder when k is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a12 + 7?\nAnswer: -a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 18*m - 884. Let i(b) = -b**2 - 14*b + 664. Determine 7*a(u) + 9*i(u).\nAnswer: -2*u**2 - 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12703002.\nAnswer: 2, 3, 13, 162859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, 107, 1377?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*(-35)\/(-315).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-14))\/j**5)**(-31) assuming j is positive.\nAnswer: j**(-341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846*p = 847*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(7\/4))\/s*(s*s**(-4\/17)*s)\/s)**(8\/9) assuming s is positive.\nAnswer: s**(-134\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*j = -0*j - 24*j - 1674 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -23. Suppose 2 = -4*y + 3*y + w, 3*y + s*w = 34. Suppose 4*f = -5*h - 60399980, -y*f - 4*h = 2*f + 75499984. Round f to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -22*x - 417. Calculate j(-18).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 g, 1 p, and 1 k when four letters picked without replacement from {k: 4, g: 2, c: 1, p: 2, m: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by -8\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4953636106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036029057?\nAnswer: 73, 227, 122867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*a + 1. Let l = -0.166 + -3.834. What is the biggest value in 1, a, -2\/13, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78199 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/31 - (44 - (-388229)\/(-8897))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/20 + 2*n**4\/3 + 15*n**3\/2 - 3*n**2 - n. What is the units digit of p(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b - 23 + 25 + 53*b.\nAnswer: 39*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13a378 (base 11) in base 6?\nAnswer: 4404352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.71162665 and -2589.4.\nAnswer: -2588.68837335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204*o**6 - 46*o**2 + 113*o**2 + 36*o**2 - 17*o**6 - 6*o**2 wrt o?\nAnswer: -26520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56 + 3?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 19) + (-5 - (-4 - -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 2*c**2 + c**2)*(-3*c**3 + 0*c**3 + 2*c**3 + 0*c**3 + 2*c**3 + 0*c**3 + (c + c + 0*c)*(1 - 1 - 2*c**2) + 4*c**3 + 14*c**3 - 7*c**3).\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + o + 83, -5*o = -8*l + 3*l + 220. What is the highest common divisor of 26 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1609544 and 2213123?\nAnswer: 17704984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*h - 22, -22 = x - 2*h + h. Let c be (6*40\/12)\/(-1) + 0. Let o = c - x. Calculate the lowest common multiple of o and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 12*b - 6)*(-4*b + 4*b + 2*b) + (-3 + 1 + 0)*(0*b + 0*b + 4*b**2) as d*b**2 + a + c*b and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15944 is divided by 3936.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 - 4*t**2 - 4*t**2 + 24*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 7 = -5*w. Suppose -w*m = -16, 2*o = -3*o - 4*m + 42061. Is (-6)\/(-24) - (0 + o\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8642414994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -730 + 722 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -675004, -674940, -674886, -674848, -674832, -674844, -674890?\n\"Answer: -m**3 + m**2 + 68*m - 675072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 5:30 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -187718, -0.4, 0.057?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -21*v**2\/2 + 1679*v\/5 - 3193\/10 = 0.\nAnswer: 103\/105, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -1\/182, -6\/7, 95, 3\/2, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (621 + -558)*2\/7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*s - 53, -4*r - r = -4*s - 81. Solve -3 = 5*p + n - r, 0 = -3*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0\/t)**(-4\/23)\/(t\/(t**(-20)\/t)*t**30*t) assuming t is positive.\nAnswer: t**(-1215\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*m + 40, 3*m = j - 0*m. Let x(i) = -i**2 + 18*i - 12. Let w be x(j). Let h = w + 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 24*o**2 + 10. Let d be p(24). Let s(v) = -v**3 + 6*v**2 + 2. Let r be s(6). What is the highest common divisor of r and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*-2 - sqrt(405))*-4 - sqrt(405)) + (sqrt(405)*2 + -4 + sqrt(405))**2 - (-2*(0 + sqrt(405))*5)**2.\nAnswer: -36839 - 117*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410517421, -821034843, -1231552265?\nAnswer: -1642069687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*p - 40. Suppose 23 + p = 5*k. Find the third derivative of n**6 - 229*n**4 + k*n**2 + 229*n**4 wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*h - 2*c**2*m + 3172*c*h*m + h*m + 585*h wrt m?\nAnswer: -2*c**2 + 3172*c*h + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 34*z + 15*z + 3 + 17 in the form p*z + b and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*q = -77, 57 = -0*c + 3*c - 3*q. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o. Let u be c(-1). Let s be 156\/u - (-3)\/(-9). Let z = s - -3. What is the remainder when z is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 127. Let o = -87 + v. Solve 0 = -2*h - o*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) + (sqrt(77) - (sqrt(77) - (3*sqrt(77) - sqrt(77)))) + sqrt(77)) - (-1*sqrt(77) - sqrt(77))*-1)\/(1*sqrt(7)*1*5*-2).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, -1\/2048, -3\/13, 0.02 in decreasing order.\nAnswer: 4, 0.02, -1\/2048, -2\/9, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 61. Let c(m) = -7*m**2 + 5*m. Determine c(l(n)).\nAnswer: -28*n**4 - 1718*n**2 - 26352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6260 rounded to the nearest 100?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(14\/(-8)) - -3. Suppose 0 = -p*i + 2*i - 4980. Is 1*(i\/3)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*k = -2100*k - 55080 for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 - 609 + 148 - 391 - 5*y.\nAnswer: -5*y - 1009","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 213811 + 135693. Suppose 6493 = 43*p + x. What is p rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -838279818 and -0.6?\nAnswer: 838279817.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859816151.\nAnswer: 2953, 291167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*a - 5, 82*w = 78*w - 8*a + 40 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*n + 14, -1 = 3*n + 5*d - 22. Let l(c) = -c + 8. Let x be l(n). Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278151?\nAnswer: 3, 92717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1600 and 700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 e, and 1 u when four letters picked without replacement from {c: 1, u: 1, o: 1, e: 2, j: 4}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k. Let g(b) = 0 - 7*b**2 - 5 - 4*b**2. Let y(c) = 5*c**2 + 2. Let f(z) = 2*g(z) + 5*y(z). What is m(f(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*n + 5*z, -z + 3*z + 17 = n. Suppose 5*h - 213 = -18. What is the highest common factor of h and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -188\/5117235?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 368 + -242. Let m be n*((-10)\/(-15) + 2). Calculate the greatest common divisor of 42 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(38 - 30 + 10*n - n).\nAnswer: 9*n + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(21\/396) + 1. Suppose 5*r + 485 = -y - 216, -r = 2*y + b. Let l = r + 253. Calculate the greatest common divisor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79054333 to the nearest integer?\nAnswer: 8891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80476 and 30680.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 58849337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 25*r**2 - 2*r - 4. Let w(q) = 2*q**3 - 25*q**2 - 3*q - 5. Determine -5*d(y) + 4*w(y).\nAnswer: -2*y**3 + 25*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6359132 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6763014 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.639 (b) 1.22 (c) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12110 and 288.\nAnswer: 1743840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6784189\/5 != 1356837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*r - 7*r - 126600005, -2*r = y - 31649998. What is y rounded to the nearest one hundred thousand?\nAnswer: 31700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = -3. Suppose -k*y = -366 - 948. Suppose 4*g + 130 = y. Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 1843*y**2 - 6*y**3 - 32 - 15.\nAnswer: -6*y**3 - 1843*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8844 to one decimal place.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*13\/26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 5*x - 26. Let z be r(-8). What is the hundreds digit of 15\/((-30)\/(-284)) + 8\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -445*j**2 - 1 + 2*j + 922*j**2 - 450*j**2. Calculate y(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*w**2 + 8*w**3 - 25*w**3 - 112*w**2.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 71*n - 42. Let f(u) = -4*u. Let t(g) = -35*f(g) - 5*k(g). Factor t(i).\nAnswer: 5*(i - 42)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/59551 - 59561\/297755. Which is the third biggest value? (a) -3.8 (b) 2\/11 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 + 14.8. Let b = 6392.6799955 + -6409.68. Let q = b + x. Round q to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*u - 3159 + 600 = -282 + 5415 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -0.8. Which is the nearest to q? (a) 1 (b) 3 (c) 0.1 (d) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - g + 5. Let j(m) = -5*m - 19. Let w be j(-4). Let t(u) = 1. Give w*l(n) - 6*t(n).\nAnswer: n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -48800508 and 320.3?\nAnswer: 48800828.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -8\/7 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 281172930 and 2760?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -366 - -516 - (114 + 56)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.0498 and 920061850.\nAnswer: 920061848.9502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*y - 3598 = 4*y, -5*b = -4*y - 3608. Suppose -5*l + l = -b. Suppose -u - 4*u = -l. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 - 3\/(-12). Suppose 18*z - 13*z - 15 = r. Suppose -50 = -5*y - 3*n - 16, 5*n = z*y. Solve -5*o + 0*o = -3*m + 10, y*o - m = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**3\/5 + 384*f**2 - 232308*f\/5 + 456968\/5 = 0.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**3 - 7*h**2 + 282. Let v(a) = -3*a**3 - 5*a**2 + 188. Give -5*u(o) + 7*v(o).\nAnswer: -o**3 - 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (294\/147)\/(1\/(-1)*-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9672)\/(-91) + -6 + (-160)\/(-28) is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*p. Let z = p - -1. Solve v + 0 = z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155)\/(-372)*9\/15 - (-3225)\/60.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 - -101. Suppose -4 = -x - 1. Which is the fourth biggest value? (a) n (b) 0.3 (c) 1\/4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-6 - -44) + -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 14, 1, 3 in decreasing order.\nAnswer: 14, 8, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -308*d - 6455 - 4017 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13) + sqrt(26)\/sqrt(2))**2 + -2 + sqrt(117).\nAnswer: -sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71251.43ml to litres.\nAnswer: 71.25143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18392 and 304?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(68\/8*-1))\/(13830\/1383)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14148467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.04. Let i = 0.56 + h. Let y = 10 + -14. What is the second biggest value in i, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104046?\nAnswer: 2, 3, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 290962\/3, -0.4, 5 in ascending order.\nAnswer: -0.4, 5, 34, 290962\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*o + 2*n, -4*n + 3*n = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and (442\/(-4))\/(-1) + (-6)\/12.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23891412*b**3 - 7*b**2 - 3075*b + 20 wrt b.\nAnswer: -143348472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/3))**(18\/11)\/(d\/d**(-2\/9)*(d*d**(5\/4))\/d) assuming d is positive.\nAnswer: d**(-547\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 0*p**3 + 0*p**3 + (-p + p - 2*p)*(p**2 + p**2 + 0*p**2) - p - 186 + 186 + 5*p**3 + p**2.\nAnswer: 2*p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.39458592 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000416694229 rounded to 7 dps?\nAnswer: 0.0004167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1344*-32 + (-1)\/(-14)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 2.1. Let g be 2\/((-3)\/((-21)\/(-2))). Let t be -1 + (1 - (-2)\/g). What is the biggest value in u, t, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**4\/4 - 2*w**3\/3 + 2*w**2 + 7*w - 62649. Suppose -2*r + 4 = -4, -4*q - 24 = -3*r. What is v(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 48 = 22, 554*y + 1648 = -k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10469720087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 51015.14379 to the nearest integer.\nAnswer: 51015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 951692 and 7749.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*d = -9*d - 45, -5*d = a - 81. Suppose 13*u = 22 - a. Put -2\/13, u, -0.5 in decreasing order.\nAnswer: -2\/13, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 4. Let c = 45 - 36. Let u be g(c). Do 7 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 2*c**2 - 8*c + 2. Suppose r = -r + 14. Is h(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473622 is divided by 24914.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2361 = -3*g - q - 202, 3*q = 4*g - 2870. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17, 63, 183, 413, 789?\n\"Answer: 6*k**3 + k**2 + k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1919\/14 - 137. Suppose 1780 = -3*r - r. Let n = -9803\/22 - r. Calculate the common denominator of n and c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -783?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 92*g - 115 = -795 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-45) - 32\/(-10). Suppose -2*i = -4, 0 = 4*s + i - p*i - 12. Solve 2*f = 5*u - 22, s*f = f - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 5*h - 7. Let k be f(-6). Let l be 2 - 12*k\/(-7). Let w be 10\/8 + (-12)\/(-16). What is the third biggest value in w, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3302)\/(-449072)*(-64)\/20.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1521*u - 114 + 2274*u - 1668*u with respect to u.\nAnswer: -915","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12535, -25071, -37607?\nAnswer: -50143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17771554\/1111 + -15996. Let h = -4 + 4. Are y and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(576)*3)\/(sqrt(24)\/sqrt(3)*-6))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2135605 (base 9) to base 12\nAnswer: -473072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.935721 milligrams?\nAnswer: 0.009935721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*s*y**3 - 10*s*y**2 - 13*s*y + 3*s + 4021*y**2 - 8764 wrt y?\nAnswer: 282*s*y - 20*s + 8042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*d. Sort 31, d, -1 in increasing order.\nAnswer: -1, d, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683002510 to the power of 1\/3, to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341430 and 21660?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 437 + 497. Let k = -911 + u. Solve -3*m - 13 = -c - c, 0 = 4*c - 3*m - k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1127 and 38962?\nAnswer: 272734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19\/3 - (-30)\/45. Let r = l - 2. Suppose -2*i - 5*a = 12 - 56, 0 = -r*a. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104235306.\nAnswer: 2, 3, 7, 317, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -788*k - 1050. Let s be h(-7). Calculate the greatest common factor of 154 and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 87334, 87361, 87388, 87415, 87442, 87469?\n\"Answer: 27*n + 87307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -27*d + 2405. Calculate b(89).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*m + 52. Let b = 12 + m. Is -1 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 + 9640*x**2 + 47764*x - 808080 = 0. What is x?\nAnswer: -2405, -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 14*u + 21. Suppose 0 = -2*a - 11 + 9. Let j(o) = 1. Let r(x) = a*j(x) - h(x). Let s be r(12). Put 3, s, -4 in decreasing order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/5*45*(-16)\/(-288).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 34\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(33) - ((sqrt(33) - -1*-1*sqrt(33)) + sqrt(33)))\/((sqrt(121)*-2)\/sqrt(11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-2 - (12 + 0)). Let d(q) = -q**2 - 6*q - 1. Let l be d(-5). Solve -l*j - 6 = -x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5409 - 5405. Solve -3*n - 21 = -3*w, o*n + 10 = -3*w - 2*w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16009 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h**4\/9 - 716*h**3\/9 + 8258*h**2\/9 - 1176*h - 2168 = 0. Calculate h.\nAnswer: -542\/23, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 227\/3 - 75. Sort -1\/7, 2, m in descending order.\nAnswer: 2, m, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*s - 1 = -3, 3*w + s = -1. Let c = 1 - w. Suppose c*t + 40 = 172. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*u + 16, 0 = -5*w - 0*u + u + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65491*q**3 - q**2 - 52*q + 21?\nAnswer: 392946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -80*m**3 + 108*m**2 - 44*m + 4. Let k(x) = -80*x**3 + 110*x**2 - 43*x + 4. Let c(o) = -4*k(o) + 3*s(o). Determine b so that c(b) = 0.\nAnswer: 1\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42\/55 + 4\/11. Which is the nearest to 4? (a) u (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 7*t**2 + 6*t. Let o be w(6). Let x = -270 - -288. Let h be 4\/(-6) - -5*x\/135. Solve h*y - y = o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvzz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 2*d**2 + 5*d**2 - d**2 - 3*d**2 + (4*d + 4*d - 2*d)*(d + 4*d - 3*d) + 45*d - 45*d + 12*d**2 in the form z + l*d**2 + x*d and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1755 - -1776. Solve 4*v = -k - i, -k - 16 = 2*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g + 8 = -37*g. Solve g*z + 10 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 51*z - 100. Determine t(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06571 and 0.6.\nAnswer: 0.66571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16492 by 4.\nAnswer: -4123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/48 and -157\/120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 3*y = 7*y + w - 11, 3*y = -19*w + 291 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-24) + (-214)\/(-6). Let y = q - 30. Let t = 19 + -19. Solve -x - 2*x - y = t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 3*p - 7*p**2 + 3 + 8*p**2. Let g be s(4). Suppose 5*l - 61 = g*o, 4*l + o + 11 = 5*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -935*k + 963*k - 308 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3598 divided by 34\nAnswer: -1799\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 30. Suppose 0 = -j - 11*j - 288. Let z be a(j). Is (5588 - (-6)\/(-3)) + 6\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 99. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = 48*n + 2208. What is the second biggest value in 4, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - (-11)\/12. Which is the third smallest value? (a) -6\/7 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 + 1176. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1475 = 1459. Solve -2*o + 19 = n*c - 5, -o = -2*c + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24908*j - 43068?\nAnswer: -24908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyqynnbybybynqyo. What is prob of picking 1 b, 1 q, and 1 n?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 322 = -318 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 2*c. Let t be l(3). Let o = t + 35. Let m be (-3)\/(-6) - o\/(-4). What is the highest common divisor of 91 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6 - -1)\/(8\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5*b - 5, -5*b = 3*t - 2*t - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(26\/4)*((-207)\/(-6))\/(-23)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*m**3 - 1532*m**3 - 1261*m**3.\nAnswer: -2431*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12.7 (b) 1\/2 (c) -0.2441\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 147458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 789469711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 490, 452, 390, 304, 194, 60, -98?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqxmxmmmsxqxmxmm. What is prob of picking 2 m?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160 + -128 + 94 - 79?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19639, -39246, -58837, -78418, -97995, -117574, -137161, -156762?\nAnswer: -176383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3\/6 + 2334*v. Let u(t) = -32353*t. Calculate r(u(a)).\nAnswer: -32353*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225733 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10390 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-51)\/102*(-84)\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80 - 3.6.\nAnswer: 76.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 0.4. Which is the nearest to -1? (a) 0 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 45. Suppose 9*k + 126 = 15*k. What are the prime factors of a(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (22 - 6)\/(0 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 24*a**2 - 14*a. Let d(w) = 2*w. Determine 4*d(g) + o(g).\nAnswer: 24*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3890 - 7671 = 6*z - 3871 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(12\/(-14))*2. Suppose -3 = q - c. Suppose -9*i = -13*i + 44. Solve -i = q*k + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156183 - 9*j**2 + 4*j**3 - 3*j - 3*j**3 - 2*j - 156200 to v*j + h*j**3 + w*j**2 + z and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10089*u**5 - 4790*u.\nAnswer: 201780*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*i = -10808 + 10842, 2*i = -2*x - 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s**2 - 8*s**2 + s**3 + (-16*s - 17*s**2 + 16*s)*(-3 + 2 + 4)*(-3 - s + 3).\nAnswer: 52*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-20) - 12\/(-15). Let f(p) = 23*p**l + 17*p**2 - 45*p**2. Let t(m) = 2*m + 4*m - 4*m. Determine f(t(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 256\/(-10) + (-12)\/30. Let z be (10\/w)\/(1\/(-5)). Let j = 97\/91 - z. Which is the nearest to -0.4? (a) -2 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.061, 85, 5, 3\/14, -7 in decreasing order.\nAnswer: 85, 5, 3\/14, 0.061, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 + 4*j**3 - 1164\/11*j - 128\/11*j**2 - 2\/11*j**4 = 0. Calculate j.\nAnswer: -3, -1, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 4*z. Let q be t(-6). Suppose -2*o = 4*m + 32, 2*o - 3*o + 24 = -2*m. Is m smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (41 - 1)*2\/4. Suppose j + 4 = 5*j, j + h = 3*d. Suppose -3*i = -5*b + 8, 0 = 4*b - d*b - 5*i + 32. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 19*k**2 - k - 17. Calculate y(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014 a factor of 1157299494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 2713 + 9 = 0. Suppose -4*k + y = -5*r, 2*r + 42 - 13 = k. Suppose 2*p - 84 = -2*p. Do k and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*l**2 + 13*l - 18*l + 53*l**2 + 5*l + 52*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/9*2\/((728\/6)\/13)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q - 21 = -16*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -361, -533, -689, -823, -929, -1001, -1033?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in -3\/5, 2\/47, -3?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + x**2 - 3*x**2 - 1 + (-186*x + 59*x - 21*x)*(2*x - 3*x + 2*x).\nAnswer: -151*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011110010011 - -1?\nAnswer: -11001011110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 at most 688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 + 15*f**2 + 14 - 56*f**3 - 222*f**3 - 21*f**2 - 33*f**2 + f**4 wrt f?\nAnswer: 24*f - 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71123548 to the nearest integer?\nAnswer: 8433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9367 * 1\nAnswer: 9367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z - 383*z**3 - 10*z**2 + 28*z.\nAnswer: -383*z**3 - 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494821 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/49 (b) 5\/2 (c) 2 (d) 0.2 (e) 256 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*i + 12 = 0, 0*c + c + 3*i = 0. Let h be (3 - 4) + 2 + c. Solve -8*n + h = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 50) + 29 - (19 - 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010010101110 + 1000011011?\nAnswer: -1011001010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 272 - 272. Let k = -24953\/14 - -1784. Let m = k + -1\/2. Which is the second smallest value? (a) m (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from kekk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 4*q + 1. Give v(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1660 divided by -154696\nAnswer: -415\/38674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10043471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -107 (base 15) to base 8\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12334115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605165.63748 minus -0.0421?\nAnswer: 605165.67958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014627447.\nAnswer: 3, 112736383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3757\/547 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1.1. Let d = 3.64 + -4. Let w = d + 0.06. What is the second smallest value in w, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p*q*r + 119666*p*q - 14342*p*r - 318*p + 15*q*r + r with respect to q.\nAnswer: -4*p*r + 119666*p + 15*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpp when three letters picked without replacement from {g: 2, p: 2, c: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5312409 (base 10) to base 13\nAnswer: 114004b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3129?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 50*v**2 - 384*v + 936.\nAnswer: -2*(v - 13)*(v - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/20 - a**4\/3 - a**3 + 4*a**2 + 27*a. Let h be f(8). Let s be 2\/(-8) + 2*(-573)\/h. Which is smaller: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32680, 65358, 98036, 130714, 163392?\n\"Answer: 32678*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 0.2?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*k + 26, h + 4*k = 3*h - 10. Let b = -71 - -44. What is the units digit of (b\/6)\/(h\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + (-186 - 29) - ((-4 - -1) + 3 + -3)?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -l + 3*r + 28, r = 3*l - 123. Let v = l - 25. Suppose -k - 4*k = -v. Solve 20 = 8*h - k*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20221 (base 3) to base 14.\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 18. Let w(m) be the first derivative of 9*m**2\/2 + 35*m - 8120. Give 7*j(h) + 3*w(h).\nAnswer: -h - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c. Let z be (-21)\/2*1200\/(-140). Let f(x) = 24*x + 15. Let r(v) = -2*v - 1. Let u(b) = z*r(b) + 6*f(b). Determine a(u(d)).\nAnswer: 108*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*v + 129*v + 123*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*y - 5, -3*y + 7*d - 4*d = -15. Suppose y = 3*h - 4*h + 38. Calculate the greatest common divisor of 57 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -11*x - 4, -4*w + 5*x = 8. Suppose -4*d = -2*n - 6, -36 = -w*n + 4*d - 7*d. Solve 8 = -3*j - n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (-20)\/(-3)*6\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*s - 870, 0*d - 2*s - 580 = -2*d. Let v = -117 + d. Suppose -2*n = -v + 11. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -19, -51, -77, -97?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/61489056 and -1\/12.\nAnswer: 61489056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -366*y**3 - 3*y**2 + 8*y wrt y.\nAnswer: -2196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {k: 10, o: 9}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -37753 - -0.05812\nAnswer: -37752.94188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 3, l: 7, b: 3}. What is prob of picking 1 l, 2 b, and 1 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-1218))\/((-45)\/54). Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 + 240*s**3 - s**2 - 6*s**4 + 3*s**4 - 2 + 195*s**3 + 4*s**4 to w*s + y + m*s**3 + q*s**2 + x*s**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 9*l - 5. Let q be p(5). Solve 0 = -4*t + 2*s - q*s, 3*t - 5*s = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3149 + -22082\/7. Find the common denominator of -62\/77 and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 9:04 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 - 11*z**2 - z - 10. Let p be 26\/(-4) - (-4)\/8. Let w(a) = a**3 - a**2 - a - 1. Let j(c) = p*w(c) + f(c). What is j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 25. Let x be 20 + (-1 - 1 - d). Solve -x = 4*j + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2030020 + 0?\nAnswer: 2030020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1139*o**3 + 2*o**2 + 685*o wrt o?\nAnswer: 6834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 24. Let y be g(-7). Suppose 20 = 5*w + 5*t, 0*t + 3*t - 17 = -y*w. Suppose -x = w*q - 789, -3*x + 165 = q - x. List the prime factors of q.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + j - 107266*j**3 - 106944*j**3 - j + 214760*j**3.\nAnswer: 550*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 38*f**2 - 461*f + 23. Calculate the lowest common multiple of 340 and c(48).\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.8 * -357195\nAnswer: -4572096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24 + (-4 - (-7 + 5)). Find the first derivative of 6*d**2 - 10*d**2 - f - 4*d**2 wrt d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 490968.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4 - (-92)\/(-8). Let y be (-2)\/j - (-7)\/(-35). Let k = 2 - 5. What is the closest to y in k, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2363*c**3*g + 2759729*c**3 + 345*c*g wrt g?\nAnswer: 2363*c**3 + 345*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:59 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 11, h: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 10. Let k(r) = 80*r + 1. Let t be k(3). Let a = -1690\/7 + t. Sort a, i, -1.\nAnswer: i, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(3\/4))\/h*h**(2\/15)*(h**(-4))**(9\/10))**23 assuming h is positive.\nAnswer: h**(-5819\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 + 78. Let l = -221 + 217.11. Let w = l + -0.11. Sort w, -2, x in descending order.\nAnswer: -2, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11574, 46367, 104374, 185595, 290030?\n\"Answer: 11607*h**2 - 28*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10507 - 21015\/2. Put -0.1, 23, s, 0 in increasing order.\nAnswer: s, -0.1, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -26936?\nAnswer: 26938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 16 = -12*x. Suppose -x*n = -n. Suppose 6*s + 0*s - 6 = n. Is s at most as big as -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1997*b - 11979. Let p be i(6). Solve p*l - 43 = 4*x - 51, 0 = -5*l - 2*x + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/12 - 152\/(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-6 + -6 - -25 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/2)\/3*-4*7\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76023957.2 rounded to the nearest one million?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 151*n**2 - 170*n - 2181. Calculate z(-152).\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/36*27\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 6*j**2 + 7*j + 7. Let w be y(-6). Let x = w - -93. Is 29 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -220 - 5?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 22 = 2*q + 3*q, m - 11 = 5*q. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2 - -3)*-2. Suppose -m = -1 - 29. Suppose 3*v + m = 3*p, -2*v + 4*p - 15 = -3*v. Put v, i, -3 in decreasing order.\nAnswer: i, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/((t*t\/((t**14\/t)\/t*t))\/t*t))**(3\/7) assuming t is positive.\nAnswer: t**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 2. Let f be s(-2). Let d = -19.6 + 21.9. Which is the nearest to d? (a) 0.3 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*j - 169*j = -51*g + 327, -4*j + 3*j - 61 = -5*g for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2632 = 2578 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/31*55\/33*(-6)\/(-735).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101101101 (base 2) in base 15?\nAnswer: -3d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 2. Let s be q(3). Suppose 2*k - 43 = -3*k - 3*o, -4*k = 2*o - s. Let t = 21 + k. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3 - 87*z**2 + 153*z + 243 = 0. Calculate z.\nAnswer: -1, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 10*g**2 + 592*g + 2464.\nAnswer: -(g - 22)*(g + 4)*(g + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 6*b + 758 - 785, 12*v - 2*b - 130 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15605, 15607, 15609, 15611?\n\"Answer: 2*w + 15603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0.9. Let t(c) = -c**2 - 7*c - 5. Let j be (1*14)\/((-34)\/17). Let g be t(j). What is the closest to 6 in g, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4, 2*p - 3*v + 18 = 78. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/9 (c) 2 (d) -8\/5 (e) 0 (f) 1699\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 36.27827 weeks?\nAnswer: 21941097696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(112)*-2*-3 - (-3 + 1*sqrt(112))) + -1)*2)**2*2.\nAnswer: -640*sqrt(7) + 22432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -1, -1\/3, 0.112, 1\/4, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*b + 24, -5*q + b + 30 = 3*b. Let l(f) = -f**3 + 5*f**2 + 2*f + 21. Let u be l(q). Let t = u - -21. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17771 + -17513. Calculate the lowest common multiple of b and 4343.\nAnswer: 26058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*g - 21 + 21)*(-3 - 3 + 5)*(3 - 5 + 1).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 382.38, 0.36, 5?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2 + -0.2. Let z = 1.9 + -1.9. Sort 5, d, z in descending order.\nAnswer: 5, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 843 = 37. Let p be b\/(-539) - 2\/(-7). What is the third smallest value in -4\/3, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**4\/12 - l**3\/6 - l**2. Suppose 0 = 5*z - 5*d - 10, -z = -2*z + 2*d + 5. What is the units digit of b(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -57*r**2 - 11908*r + 119. Give w(-209).\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 574 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -7. Let o be 16\/((8\/(-12))\/(d\/(-3))). Solve -o = 4*a - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 82 - 128 = 0. Let y = -40 - x. What is the lowest common multiple of 9 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) - 150\/35. Let b(y) be the first derivative of -y**3\/3 - 5*y**2\/2 + y - 24. What is b(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001365 rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2781463877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/45)\/((-1)\/10*2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 - 60*q - 180. Let a(z) = 11*z**2 + 240*z + 720. Let n(j) = 2*a(j) + 9*s(j). Factor n(p).\nAnswer: -5*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 18. What is the smallest common multiple of (-16)\/((-160)\/90) + 1 and i + ((-36)\/(-3))\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 11 - 11)*((-5 + 1 + 0)*(26 + 19 - 14) + 4 - 4 - 2).\nAnswer: -378*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*k = -163*k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46274 = -150*m - 53474 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1280 - 1280.7. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 7*f**2 - f - 10. Let k be d(10). Let r be (-6)\/(-9) - k\/15. Solve 7 = -3*y + r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 3, -1\/19, 0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + j - 0*j - 125, 2*j = 0. Which is smaller: c or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 4*d + 33 + 0*d - 62 + 32 + d.\nAnswer: 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10160\/3810)\/((-8)\/(-45)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85447 or 85484?\nAnswer: 85484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y + 3*y)*(-1 - 4 + 4)*(-136 - 1205 - 110).\nAnswer: -2902*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14324?\nAnswer: 2, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44202283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 12:23 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - i**2 + 3*i - 2. Calculate f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1\/1380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*x - 4*x = 18, 0 = -3*h + 3*x - 15. Let u = h - -9. Solve u*t = -4*o + 4*t + 15, -5*o + 4*t = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**3 - i**2 + 5*i**3 - 3*i**3 + 6. Let n = 9 - 9. Calculate the lowest common multiple of a(n) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-1)\/3 + -1 - 3. Let w = d + 25. Suppose 12*v - 10*v = w. Solve v = 2*m - 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*i**3 + 376962*i**2 - i - 64743075?\nAnswer: -15*i**2 + 753924*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 26 = b. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 4*q - 276. What is the greatest common factor of 1104 and q?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 x when four letters picked without replacement from tttgfffgxfxtggf?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/((-7520)\/224 - -37).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85136 - 85135. Let u(v) = -13*v - 17. Let s(c) = 7*c + 9. Let b(z) = 11*s(z) + 6*u(z). Let w be b(-7). Solve 0 = -5*h + w + t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -227*a + 8737. Is n(21) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140 - 279\/2. Let l be 1 - (-9)\/(-4)*1. Let w = -2 - 3. What is the closest to -0.2 in i, w, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 - (-2 - -11))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.35 - -1.35. Let i = -0.7 + 2.6. Let c = 1.7 - i. What is the third smallest value in -32, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + (-31)\/(-3). Suppose 0 = 5*d + 3*p - 9, 14 = 2*d + 2*d - p. Solve 17 = d*t + y, -2*y + u = -0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -12. Suppose r - 5*x - 16 = 90, 0 = s*r + x - 179. Let i = 22 + r. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 1. Let p be y(-1). Suppose -210 = -5*o + 5*l, 0 = -p*o + 7*o - 5*l - 172. Calculate the remainder when o is divided by (3\/(-2))\/((-3)\/26).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204.3 - 204.3. Let v(y) = y - 2. Let f be v(-2). Let b = f - 1. What is the nearest to -0.5 in w, b, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 + 205. What is the remainder when 716 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(1900) - sqrt(1900))**2 + -3 + 2*sqrt(2736) + 2).\nAnswer: -37995 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2805, -5711, -8617, -11523, -14429, -17335?\nAnswer: -20241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 12. What is the remainder when 59 is divided by (-109)\/(-5) + 1\/g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -314, 0.28, -64?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18049*a**2 - 7*a - 313729 wrt a?\nAnswer: -36098*a - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 59 = 3*k - 2*t, 40 = 4*k - 2*t. Find the third derivative of -46*p**3 - 32*p**2 + 22*p**3 + 24*p**3 - k*p**5 wrt p.\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 109*w - 112*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -11. Let i(n) = -8*n**2 - 9*n + 1. Let c be i(2). Let z be (-2)\/g + (-1064)\/c + -3. Calculate the highest common factor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 5. Let w(h) = -4*h - 11. Give 13*s(l) - 6*w(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {e: 2, x: 4, u: 10, j: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 2. Let g(c) = -c**3 - 4*c**2 + c. Let b be g(o). Let l be (30\/(-9))\/(b\/18). Solve -7*h = 5*s - 3*h - l, -s - 2*h = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*g + 48*g - 101*g)*(-88*g + 41*g - 5 + 43*g).\nAnswer: 368*g**2 + 460*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*r = -102, 2*t + 5*r - 42 = 29. Let p = 38 - t. Let v = 8 + 3. Calculate the lowest common multiple of v and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 71*m - 19909. Give r(110).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7939, 7940, 7941, 7942?\n\"Answer: d + 7938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -844, 0.5, -47, 0.01, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7315 divided by 408\nAnswer: 7315\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2284, -2, 1.\nAnswer: -2, 1, 2284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, -380, 1, 0, -34 in increasing order.\nAnswer: -380, -34, 0, 1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*l - 30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12 = -2*f - 6, k + 5*f = -15. Suppose 2*i = -3*w + 832, 0 = -4*w - k*i + i + 1104. What are the prime factors of w?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:14 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 53*k**2 - 3*k + 11. Let m be o(4). Let w = m + -1906. Round w to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14470230 rounded to the nearest one hundred thousand?\nAnswer: -14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-302 - -284) + (-1 - -4).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 - 6*z + 4. Let o(m) = 5*m**2 - 5*m + 4. Let h(i) = -4*g(i) + 5*o(i). Let r be h(4). Solve r = 4*t - 0*q + 2*q, 0 = 2*t + 4*q - 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, r: 4, s: 2, k: 3}. What is prob of picking 2 k and 1 s?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1201, 4, 0.1, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = -10*i + 43*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299336?\nAnswer: 2, 17, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6*z + 862*m**3*z**3 - 3*m**3*z + 11*m**2*z**3 - m**2*z**2 - m**2*z - 14*m**2 + 4*m*z**3 wrt m?\nAnswer: -360*m**3*z + 5172*z**3 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.96 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.6362 and 0.00145.\nAnswer: 10.63765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 63\/(-3)*(-36)\/27. What is the greatest common divisor of d and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-2*d + 5*d - 4*d) - 150*d + 308*d - 153*d - 57 - 41*d + 57.\nAnswer: -37*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 19, -0.3 in increasing order.\nAnswer: -0.3, 0.2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o + 46. Let i be h(4). Find the third derivative of -63*p**2 - 133 + 133 + 117*p**i wrt p.\nAnswer: 14040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 7) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + -55. What is the remainder when (25 - 22)*128\/(-18)*-6 is divided by s*(2 + (-36)\/15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/18 and 87\/4184.\nAnswer: 37656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (35\/(-10))\/(-1034*27\/5580 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 16. Let c be -2 + (2 - -1) + p. Solve -c*o - 31 + 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241670\/691 or 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006170015 rounded to six decimal places?\nAnswer: -0.00617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 - 356 = -4*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -26*r**3 + r**2 - 4*r - 5. Let p(m) = -78*m**3 + 3*m**2 - 14*m - 17. Determine 14*h(z) - 4*p(z).\nAnswer: -52*z**3 + 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*(k**4*k)\/k))**30)**(-5) assuming k is positive.\nAnswer: k**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 7*i - 1. Let b = 20 - -25. Suppose -3*h = -2*g + b, -3*g - g = 12. Let f be (1*(-2)\/6)\/(h\/(-255)). What is a(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - 7.99. Which is smaller: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**3 - 38*o**2 - 971*o - 4777. Determine x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -8.\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/92 and -95\/22668?\nAnswer: 521364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4878a2b1 + 0?\nAnswer: -4878a2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*u - 9*u - 1660 = 100 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + (-15 - -14) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -9144715 and -9144724 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*4\/(-2))\/(-1). Suppose 6*c + w*b - 22 = 3*c, 46 = 5*c + 2*b. Calculate the least common multiple of 12 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, 48, 92, 150, 222, 308?\n\"Answer: 7*m**2 + 9*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-6) - (5 + (3 - 3)). Let r(a) be the first derivative of 0*a**2 - 1\/5*a**5 - g*a**3 + 0*a - 3 + 0*a**4. Find the third derivative of r(p) wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 2*q - 13. Calculate z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 2*t + 20. Let p be c(4). What is the greatest common factor of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 3) + (-2 - (-10)\/(-1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 187866 and 187871 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 77\/4 + (-4)\/16. What is the derivative of r*c**4 - 19*c + 19*c + 4 wrt c?\nAnswer: 76*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 74 (c) 3\/38 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*l**4 - 12*g*l**2*n + 4*g*l**2 + 4*g*l*n + 149*l**6*n + 2*l**3*n - 4*l*n wrt l.\nAnswer: 72*g*l + 17880*l**3*n + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 876 divided by 6.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + n - 1. Let h be a(2). Let d = 74 - 77. Let q be (4 + -2)\/(-2 + 1) - -3. Put q, h, d, -13 in ascending order.\nAnswer: -13, d, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 87, 170, 239, 288, 311, 302?\n\"Answer: -a**3 - a**2 + 93*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*p + 919 = -8*p + 183 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j - 1\/4*j**3 + 0 + 7\/4*j**2.\nAnswer: -j**2*(j - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215 - 213. Let n(l) = 4*l**b + 3*l**2 - 15*l**2. Let y(f) = -10*f. Calculate n(y(a)).\nAnswer: -800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104944873 and 1606.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*s**4 + 2*s**3 - 252*s**4 - 3 + 81*s**4 + 2*s - 9*s**3 in the form j*s**4 + p*s**3 + d + c*s**2 + u*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 2*x**2 + 2*x - 4. Suppose 2*d = d - 3, 5*u = -2*d - 21. Let q be z(u). Which is smaller: q or -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190486868?\nAnswer: 2, 11, 13, 333019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40156750 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 7:19 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {w: 5, f: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1753*f**2 - 540*f - 2.\nAnswer: -3506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 a factor of 51033192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -65, 12.\nAnswer: -65, -41, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-303)\/(-33) - 16\/88 - 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - 8*g + 10. Let c(s) = -2*s - 24. Let w be c(-8). Let t(q) = q**2 - 3*q + 3. Let u(d) = w*t(d) + 3*r(d). Differentiate u(n) wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148 - 109 + 143)*(4*z**2 + 3*z**3 - 4*z**2).\nAnswer: 546*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 11*o**2 - 10*o + 22. Let t = 6 + -2. Let j be t\/(-3)*105\/(-14). What is the tens digit of x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/56 and -37\/10241.\nAnswer: 81928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97 + 339*m - 125 + 27 to j*m + k and give j.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -4\/7 (b) 5 (c) -1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -14. Suppose x + 2 = 10. Suppose -32 - x = -4*b. What is the least common multiple of b and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 1. Let c be i(-1). Suppose 42 = -2*t + c*t. Calculate the remainder when 80 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 207*o**2 - 37*o - 347. List the prime factors of r(-9).\nAnswer: 11, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401712 + 401712 - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 992*z\/5 - 1976\/5.\nAnswer: -2*(z - 494)*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3688*s + 25. Let z(y) = 11063*y + 78. Let t(d) = -11*o(d) + 4*z(d). Is t(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479436876.\nAnswer: 2, 3, 2543, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -172\/45481?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 640, 1283, 1926?\n\"Answer: 643*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*w = -53, -3*w = -5*f + 13 + 118. Solve 2*v - 3*z - 23 + f = 0, 32 = -5*v - 4*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/35100 and 163\/56160?\nAnswer: 280800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + -80. Let o(k) = k - k**2 - x*k**2 + 12*k**2. Let j(d) = -2*d. Calculate o(j(u)).\nAnswer: 16*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**2 - 2*x**2 + 627*x - 23 + 74*x.\nAnswer: 12*x**2 + 701*x - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 3*a - 2*a + 2 + 6*a. List the prime factors of d(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 30*g**3 - 19*g**3 - 9 - 5*g**2 - 20*g**3 + g + 2. Let n(j) = -5*j**3 - 3*j**2 + j - 4. Let a be 6\/(-27) - (-141)\/27. Determine a*n(t) - 3*v(t).\nAnswer: 2*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1170152*b**3 + 1419093?\nAnswer: -3510456*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 41\/2. Let f = -3.4 + 3.6. What is the third smallest value in m, f, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4014\/446 + (-28 - 3)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10200*j**4 + 2*j**2 - 6664*j + 1?\nAnswer: 244800*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.774 + -0.874. What is the nearest to 2 in -4\/7, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) + 35\/2. What is the highest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-10)*-2*1. Sort -1, 4, j in increasing order.\nAnswer: -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 96?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 61 = -4*t + 72, 2*f = -2*t + 16 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 79632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*s**3 + 5*c**3*s + 445*c**2*s - 12749*s**4 + 14*s wrt s?\nAnswer: -6*c**3*s - 152988*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -18, 8, 90, 246?\n\"Answer: 3*i**3 + i**2 - 36*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 506939?\nAnswer: -50693a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 264*m + 11842. Let h(p) = p**2. Determine g(h(z)).\nAnswer: 264*z**2 + 11842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177 + 181. What is the second derivative of 2*c - c**3 - 39*c**3 + b*c**3 - 8*c**3 wrt c?\nAnswer: -264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 1. Let k(a) = -12*a + 3. What is -4*k(o) - 11*t(o)?\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*p = 5, 3*k = 8*k + 4*p - 37. Suppose -3*q + 1 = 4*d, 10*q - k*q - d = 40. Calculate the smallest common multiple of 10 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k. Suppose g + 3*g = -24. Let u(i) = -i. Let r(x) = g*z(x) - 11*u(x). Let a(s) = s**2. Give r(a(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.7 * 14148.\nAnswer: -52347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/16)\/((-2)\/20). Put 4, 5, w in increasing order.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2308 - 257*w**2 + 2848*w**5 - 2299 + 6910 - 2301 + 3*w wrt w?\nAnswer: 170880*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - q + 5*q - 16 = 0, -2*x - 5*q = -17. Put 1, x, 0.5 in decreasing order.\nAnswer: x, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316210 (base 9) to base 8\nAnswer: 557535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 7:33 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 142 + 38. Let n = -261 + 378. Calculate the remainder when n is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3250257 (base 9) to base 2.\nAnswer: 110101010001000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 347\/4 - 86. Let u = 4 + -3.6. What is the biggest value in -4\/7, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31793981 and -21.5.\nAnswer: -31794002.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 741556.8 millimeters to kilometers.\nAnswer: 0.7415568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/4 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w - 479. Let q(y) = 4*y**2. Calculate v(q(p)).\nAnswer: -40*p**2 - 479","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -17*r - 7, r + 11 = 8*v - 13*v. Put -45, v, 4 in decreasing order.\nAnswer: 4, v, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 0, 4, -1211821 in decreasing order.\nAnswer: 4, 1, 0, -6, -1211821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16141113*q - 4*q**3 - 32282169*q - 3*q**2 + 3*q**2 + 16141056*q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, r: 2, s: 1, e: 9}. What is prob of sequence lels?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24 and 3005765857.\nAnswer: 3005765833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 772.5 + -804.69. Let i = -0.99 - z. Let n = i - 23.75. What is n rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374982 to the power of 1\/2, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/60)\/((-2)\/(-12)). Let g be (2 - (1 - n)) + 418. Find the common denominator of (-2256)\/g + 8\/10 and 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 3*w - 472. What is the remainder when 58 is divided by w\/(-8) + 7\/28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -m - 2*n + 2, -5*n = 4*m - 19. Let f(p) = -p - 2 - 3 - m. Calculate f(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3677*z = 3669*z + 328. Calculate the highest common divisor of 2501 and z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 9*s**2 + s + 12. Let y be q(-9). Suppose 2*k + 2*c = -21 + 61, k - 20 = -y*c. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 468331.6 tonnes?\nAnswer: 468331600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -11 - 40. Suppose -8 = -i + l, 4*i - 2*l = r + 19. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 37 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - -0.0202101.\nAnswer: 17.0202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**3\/3 - w**2 + w. Let j be a(2). Find the first derivative of 7 - 3 - j - 3*i**2 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -103*c - 478. Give g(-4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(77) - sqrt(77))\/sqrt(11) + -2*sqrt(7) + 0) + -4 + 3.\nAnswer: -1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 35 = -0*s - 5*s, 7 = 4*s - 3*b. Suppose s*a - 152 = 60. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -170585734, -5 in decreasing order.\nAnswer: -3, -5, -170585734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 242943 = -157*b + 161*b, 0 = 3*b - 5*u - 182206. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 - 98. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-3))\/(-5))\/((-16)\/18)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -1\/10*l**6 + 5*l + 3\/4*l**4 + 0 + 0*l**2 + 0*l**5 + l**3. Solve b(z) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 - 186*b**2 + 12880*b + 39200\/3.\nAnswer: 2*(b - 140)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - 0.1. Let h(p) = p**2 - p. Let g be h(-1). Suppose 0*x + g*x + 4 = 0. Which is the third smallest value? (a) d (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7664246 is divided by 514?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 + 434*i**2 - 2242*i - 202834. Give f(-220).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 2*d - 77. Let f be l(10). Solve 0 = 3*u - 9, f*p - 21 = -0*p - 4*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1024110 and 1080?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -142869, -142868, -142867, -142866, -142865, -142864?\n\"Answer: m - 142870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -429.41816*2.\nAnswer: -858.83632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) 2 (c) -2 (d) 1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -970\/9 (b) 3 (c) -6\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2\/5, -242, -13, -1\/6, 3\/2, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22\/3 (b) -3\/4 (c) 0 (d) -41 (e) 5 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-5) + 6\/15. Let n be (7 - 3) + 3 - z. Suppose 2*s - 4*y - 128 + 40 = 0, 0 = n*s - 4*y - 214. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*(63\/14)\/(-9)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(-1 + 1 + q)*(165*q**2 - 703*q**2 - 248*q**2).\nAnswer: 3144*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o*o**16))\/o)\/o)**(-3\/35))**(-7) assuming o is positive.\nAnswer: o**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.00551 + 3.1.\nAnswer: -10.90551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 631.\nAnswer: 3786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48729817?\nAnswer: 157, 211, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 267*j**3 + 5*j**2 - 76*j - 10. Let i(g) = 50*g**3 + g**2 - 15*g - 2. Determine -3*d(s) + 16*i(s).\nAnswer: -s**3 + s**2 - 12*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-40) + (-1)\/(-4) + (-318835)\/(-40).\nAnswer: 3, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 + 5*z - 5. Let n(k) = -k**2 + k - 1. Let f(j) = -10*n(j) + 2*y(j). Let c(g) = g. What is f(c(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 2*i**2 + 0*i**3 + 0 + 2\/15*i**5 + 0*i + 1\/12*i**4. Let p(v) = 0. Calculate v.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)**(-5\/6)*(c\/c**(-3\/8)*c)\/c*c*c**0)**(1\/7) assuming c is positive.\nAnswer: c**(19\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 31*l**2 + 27*l + 28. Let i be j(23). Suppose -3*h - 4*t = -28995 - i, 3*t + 12509 = h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-21) + (-13450)\/(-192066) - (-1)\/((-17)\/19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:18 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 o when four letters picked without replacement from oddoozdozzdozd.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -509 + 2127\/4. Let b = 3\/8963 - 1425168\/152371. Let t = -605\/68 + b. Find the common denominator of n and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.34, 2\/1583, -6.72.\nAnswer: -6.72, -0.34, 2\/1583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 7) to base 8\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2961.3626*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.017, -1, -1\/2.\nAnswer: -1, -1\/2, -0.017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 11:28 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11511 - -11511. Solve d = 1490*m - 1503*m + 117 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/3, -61, -2 in descending order.\nAnswer: 3, 2\/3, -2, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -21*o**3 + 24*o**2 = 0.\nAnswer: 0, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 7 - 11 = 0. Let o(k) = 3*k**2 + 9*k + 18. Let x be o(v). Which is smaller: x or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -5*n**7\/42 + n**5\/4 + 2*n. Suppose q(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*j + 3. Let v(q) = 2*q - j + 7 - 4. What is v(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p + 1. Suppose -p*j + 4*l + 10 = -6*j, -3*j + 4*l = 5. Let w(k) = -5*k - 5. Let y be w(-2). Which is the nearest to -1\/2? (a) 0.3 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6111738, -24446979, -55005722, -97787967?\n\"Answer: -6111751*m**2 + 12*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 1 + 9. Let x be (5 - -1)\/3 - y. Solve -3*d + x*d + 9 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 285*f + 232. Let s(u) = u**2 - 282*u + 230. Let d(q) = -3*s(q) + 2*w(q). Differentiate d(z) wrt z.\nAnswer: -2*z + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (22\/10 - 15192\/360)) + -173\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368740.254 rounded to the nearest 10?\nAnswer: -368740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 920.06 + -920. Which is the fourth biggest value? (a) 2\/7 (b) -0.05 (c) w (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = 0. Suppose 0 = c - i - 3. Let l be (10\/4)\/(3\/6). Solve -7 = -l*b + c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23794 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192*v**3 + 6*v**2 - 7.\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 2:19 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -g - 76 + 86, 6 = -2*c + g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 75, -2709\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqqpqqqqqqp. Give prob of sequence pq.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(6 - 19 + 1)*(-4*t + 0*t + t)*(-4*t + t + 4*t) + (2 - 2 - 2*t)*(3*t - t + 0*t) + 5*t**2 - 2*t**2 - 4*t**2.\nAnswer: -113*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d**5\/5 + 2334*d**4 - 1334559*d**3\/5 - 4169127*d**2 + 5526000*d - 1687500 = 0. Calculate d.\nAnswer: -15, 1\/2, 3\/4, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -231 + 155. Let c = -4 + j. Let q = -33 - c. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10727085 and 3441?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1630277308 to the nearest integer?\nAnswer: 40377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 174342577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*z + 3*z - 2*z)*(2*z - 5*z + 4*z) - z**2 - 3*z**2 + z**2)*(-4 + 3*z + 4).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*x + 0*x - 41 - 12 = 0. Let d = 3158\/7 - 129576\/287. Do x and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -10.2. Which is smaller: f or 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 63. Suppose 3*o = l, 3*s = 4*o - 46 + 50. Let a be (2 - 1) + 1 - 2. Solve 5*q - 5*z = 20, a*z = -2*q - s*z - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*m + t, 52*m - 47*m - 2*t = -17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t - 14. Let g(j) = 6*j - 13. Let k(d) = 6*g(d) - 5*n(d). Let r be k(7). Let f be -2 - -3 - (r + -6). Solve -4*u = -2*u + f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c + f, -2 + 0 = -f. Let h = -0.4 + 5.3. Let m = -5 + h. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15203 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmfm when four letters picked without replacement from ffffffmm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3544213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 4*i = -v + 15, -3*i - v - 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((682\/(-45))\/(-22))\/(16 - -9) and -8\/275.\nAnswer: 12375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 4*m + 4*m = 182574. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3934 - -4621. What is the remainder when j is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -2*w - 3*p + 229, -2*p = 4*w - 798. What is the remainder when w is divided by 156?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*v = 3*v - 70, -40 = -3*g - v. Let y = 10 - 5. What is the greatest common factor of y and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 7*o + 5930. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4.8. Let a be (39\/(-52))\/(4\/(-6)) + -1. Sort y, a, -0.3 in decreasing order.\nAnswer: y, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 18*h - 13. Let b be q(1). What is the greatest common divisor of 540 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + w - 1. Let q(u) = -8*u**4 - 12*u**3 + 128*u**2 - 94*u - 82. Let t(k) = -q(k) + 2*r(k). Factor t(b).\nAnswer: 4*(b - 2)**2*(b + 5)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14038*m**4 - 33*m**3 + 4*m**2 + 1406*m - 2 wrt m?\nAnswer: 336912*m - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-11 - -8 - -15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657 = -349*z + 17840 for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 360\/93559 or -1?\nAnswer: 360\/93559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10*t**2 - 18*t - 15. Let j(r) = -7*r**2 - 12*r - 10. Let g(z) = -7*j(z) + 5*x(z). Let b be g(-6). Sort -2, 5, b in ascending order.\nAnswer: b, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 4*r + 5. Let q be j(-4). Let b(a) = a. Let s be b(q). Suppose 243*p = 238*p. Sort 4, s, p, -4 in ascending order.\nAnswer: -4, p, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 64*b + 153. Let z be f(-2). What is the biggest value in 3\/7, z, 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 2 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.051 (b) -81 (c) -1\/10 (d) 61 (e) 3\/2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(4*z + z - 3*z) + (z - 4*z + 2*z)*(2 - 18 - 10)*(4 - 3 + 0 + (1 + 0 + 0)*(-1 - 3 + 2) - 2 + 16 + 30)*(2 + 2 - 6).\nAnswer: -2238*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-48)*4*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 11 + 15 = 0. Let k = -89 + 41. Let j be 4\/x - k\/26. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 0*m**3 + 0*m**4 + 0*m + 4 + 3\/5*m**5 + 2*m**2. What is the second derivative of c(w) wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n - 8*n + 6*n)*(2 + 6 - 7)*(-3 + 7 - 1 + (0 + 1 - 3)*(16 - 6 + 3) - 1 + 0 - 1).\nAnswer: 225*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 441124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*t - 166 + 2560 = 0 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o. Let j = 34083 + -34095. Put o, -3, j in increasing order.\nAnswer: j, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 392842 (base 11) to base 12\nAnswer: 259b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6575, 13898, 21975, 30812, 40415, 50790, 61943?\nAnswer: 73880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1005, -2034, -3067, -4104?\nAnswer: -5145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12*14\/(-7)*(-12)\/(-18)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-2) - (4 + 1). Let q be -3 - ((2 - 3) + y). Find the second derivative of 2*n + q*n - 4*n - 9*n**4 - 7*n wrt n.\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76 times 28360?\nAnswer: -21553.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(2\/17)\/q*q)\/(q**0*q))**(7\/5))**(4\/35))**(-4) assuming q is positive.\nAnswer: q**(-32\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h - 3 = -j, 0 = h + 5*j - 6. Let a be (h\/5)\/((-1)\/(-10)). Solve 0 = -2*g - 3*z - 22 - 1, 0 = -a*g + 4*z + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -5 (c) -1\/2 (d) -90240.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 617595209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = 36. Suppose -3*i + 15 = -i + n, 0 = -5*i + 4*n + f. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116618 and 18?\nAnswer: 1049562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003636 rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(70))\/sqrt(10) - (-1 + (0 + sqrt(7) - sqrt(7)))**2.\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 13545 - (-9 - 132\/(-22)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 26 = -7*r + 4*o, -2*o = 10. Calculate the remainder when 39 is divided by 0 - ((-92)\/4 + r).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((-71 - -101) + -10 - (4 - (-2 + -1)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 2*c. Suppose -1198 - 1346 = -12*f. Let a(d) = 220*d - f*d + 7*d**2 + 0 + 0. Calculate -2*a(k) - 9*z(k).\nAnswer: 4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7517 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (3 - -6) + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40839, -40847, -40857, -40869, -40883, -40899?\nAnswer: -40917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -17. Suppose -y + 2*h = a, -5*h + 3 + 11 = -3*y. Let t(u) = u**3 + 4*u**2 + 4. Let v(f) = -3*f**2 - 3. Give y*t(d) - 4*v(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 + 91 = 12*f + 82. Suppose -4*p - 6 + 18 = 0. Solve p*h = 3*r + f, 19 = -3*r + 3*h - h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*f + 167*f - 211*f + 1368 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 8483?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4)\/100*30\/18?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 - -71 - (2 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -967 - -1106. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhhihhihehehihehihh. Give prob of sequence eeii.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -4*z. Suppose -z*w - 2*h = -7*h - 81, -5*w = -2*h - 116. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 3 - 0 - -101. Let z = q - 46. What is the third derivative of -54*x + z*x + 4*x**3 + x**2 wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 23555*r. Let w be d(4). Suppose -4*t - t + w = 0. Suppose -5*a + 238844 = t. Round a to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1703 - -1718. Let x(k) = 77*k**2 - 6*k - 9. What is the remainder when x(-2) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 f when three letters picked without replacement from yffqynqqfynqnqq?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1009 divided by -62710.\nAnswer: -1009\/62710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 d when four letters picked without replacement from {u: 16, d: 4}.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 3, q: 1, s: 1, r: 1, h: 5}. What is prob of picking 1 y and 1 a?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 22 - 2. Suppose 0 = 2*z - 6*z + 5*f - 132, -136 = u*z + f. Find the common denominator of 42\/5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 66, 102, 140, 180?\n\"Answer: n**2 + 31*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3446*g - 3739.\nAnswer: 3446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 13*r - 3. Let w be y(2). Let k = 341565 + -340300. Calculate the highest common factor of k and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -21. Let s(m) = -7*m + 35. Let t be s(h). Solve 5*d = 3*b - 5*b - 5, t = -4*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -36 + 135*x + 60 - 41. Suppose -24 = -k - 3*k. Is v(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2260163, 4520350, 6780557, 9040784, 11301031, 13561298, 15821585?\n\"Answer: 10*s**2 + 2260157*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 765, 1530, 2295, 3060, 3825, 4590?\nAnswer: 5355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, q: 5}. What is prob of sequence eqqq?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013062191 rounded to five dps?\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 - o**4\/2 - o**3 - 3*o**2\/2 - 2*o. Let p be a(7). What is the units digit of (-12)\/(-9)*6\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q - 5*s, -7*q + 88 = -5*s + 100. Sort -168, -2, -7, 5, q in ascending order.\nAnswer: -168, -7, -2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 28 + -11 - (-1 + -5 + 3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3164\/5*g - 80*g**3 + 1\/5*g**4 + 1983\/5*g**2 + 316.\nAnswer: (g - 395)*(g - 2)**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, w: 1, i: 4, m: 2}. What is prob of sequence mwm?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2. Let q = 0 - -2. Let p(u) = -1 + q - 2*u - 1. Give n(p(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 39*i**7\/7 + i**6\/30 + 6295*i**3\/6 + 27*i - 56. What is the second derivative of u(h) wrt h?\nAnswer: 4680*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6252662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 176 = -0*m. Let c be m\/(-10) - (-1)\/5. Suppose c*d = 5*d. Let t(g) = -g**2 + g - 6. Determine t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.1, -70, -2954.9, 0.2?\nAnswer: -2954.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55.920748 + 55.94. Round i to four dps.\nAnswer: 0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-617 - -596) + 286\/14. What is the closest to 0.05 in a, 2, -0.2, -42?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**3\/3 - 224*b**2 + 2068*b\/3 + 912 = 0 for b.\nAnswer: -171, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169714.\nAnswer: 2, 7, 13, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from wzbwwbwzcwcczcbz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 2*o - 4*o. Suppose -x + o = 4*c + 9, 5*c = x + 80. Solve -2*q - 3*q - c = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 + o + 1. Let m be l(-5). Let p = m + 6. Solve r - p*r = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 - 3) - (-4 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 149 - 3b2?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11331041933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1227.8501 + 38.\nAnswer: -1189.8501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -10. Let q be -9*d\/6 + 0. What is the third derivative of -y**6 + 4*y**q - y**6 + y**2 wrt y?\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.53 times 0.035?\nAnswer: 0.05355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 15. Let n be v(-18). Suppose 2*m + u - n = -5, -5*m - 3*u - 7 = 0. Sort m, 4, -2 in decreasing order.\nAnswer: 4, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -159390*s**2 + 14*s + 12. Let p be i(7). What is p rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - x + 76 = 0, 53 + 97 = 5*a - 3*x. Suppose 592 - 52 = 4*y. What is the highest common divisor of y and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -328 (b) -4 (c) 2\/3 (d) 36 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(12) + -1 + 0.\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -222, -223, -224, -225, -226, -227?\n\"Answer: -k - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 0. Suppose o*z = z + 1. Let f = -2.875 + 1.275. Which is the biggest value? (a) f (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*17\/((-102)\/(-38)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + w + 2*w)*(-w + 0*w + 0*w)*(-2 + 7*w**3 + 2) + 2*w**5 + 3*w**5 - 4*w**5.\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) 3\/5896\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.997176826 to two dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 10*l**2 - 6*l - 6. Let b be n(6). Suppose b = 4*v + 6. Suppose -v = -6*f + 2*f. Calculate the greatest common factor of 42 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/13 - 158*l**4\/13 + 2264*l**3\/13 - 9736*l**2\/13 + 3712*l\/13 + 15872\/13 = 0. What is l?\nAnswer: -1, 2, 8, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -25. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8516 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 5*h + 20, -185 = -0*l - 2*l - 18*h - 191 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = 3*g - 2*x + 8, 3*x = -3*g - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 7*b**2 - 8*b + 5. Let k be o(8). What is the remainder when 286 is divided by k + -7 + -1 + 11*4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 2:59 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/51 and -145\/318?\nAnswer: 5406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -262*n + 34. Let r(j) = -88*j + 11. Let d(p) = -8*r(p) + 3*w(p). Differentiate d(h) wrt h.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(20)*-3 + (sqrt(150)\/sqrt(3))\/sqrt(10).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0177 - -6.6823. Let q be 6\/12*(-3 + 1). Which is the second biggest value? (a) -0.3 (b) r (c) q (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 3443 = -15764. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -11 + -5 + 3 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a - 2. Let h(d) = 1. Let q be (-1037)\/68 - -15 - (-42)\/8. Calculate q*f(b) + 10*h(b).\nAnswer: -50*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 93025 = -3*o, -o + 44678 = -2*h + 13673. Suppose -44*b = -55*b + o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819560.\nAnswer: 2, 3, 5, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/400 and -119\/1150.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 54558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -659689*s**2 + 66*s - 32. Let a be o(-14). What is a rounded to the nearest one million?\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -351.3 - -232.6. Let s = w - -107. Round s to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 143 - 284*n**3.\nAnswer: -284*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16826 or 16828?\nAnswer: 16826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, c: 1, o: 1, x: 2, a: 2, v: 1}. Give prob of sequence cc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13737\/7928 + 4\/6937. Find the common denominator of 19\/6 and d.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f**4*o + 572*f**4 + 141*f**2*o + 17*f*o - o wrt f.\nAnswer: 120*f*o + 13728*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 2889*t - 13091. Calculate v(1449).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.3805 years?\nAnswer: 0.0043805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 301127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 3*u**6\/40 + u**5\/30 - u**4\/24 - 2*u**2. What are the prime factors of h(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10*q + 21 + q**2 - 17*q + q**2. What is the units digit of h(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -12. Let r = 14 - v. Let k = 12.5 - r. Which is the closest to -0.04? (a) 4\/5 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 450011, 900052, 1350101, 1800158?\n\"Answer: 4*b**2 + 450029*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 47, 3\/4, 1\/7, -3.7, -1\/13?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**4\/4 + i**3\/3 + i**2\/2 + 9. Let c be t(-2). Which is greater: 9 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/15 + -2)*-35. Let w be (12\/(-28))\/(2\/g). Suppose 5*m - 98 = -2*h, -h + 232 = w*h + m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q = 3*p + 40*q + 1, -p + 3*q - 7 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 18*k**2 + 25*k - 2. Determine u(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96360 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58 (b) -2 (c) -2\/3 (d) -5 (e) -1\/3 (f) 0.316\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76.3 - -72. Let y = -25.3 - -21.3. Let t = y - g. Which is the closest to 2? (a) -0.02 (b) t (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626587931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5365 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 5*b**2 + 7*b + 9. Let m be g(-6). What are the prime factors of (-1)\/m*3 + 3 + 28?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmh when three letters picked without replacement from mhjhhhmj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 25*z**2 + 36*z + 586. Calculate u(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1372 and 47\/4280248.\nAnswer: 29961736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2430696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*c + 458, 3*c - c + 5*y + 200 = 0. Let p = 132 + c. Suppose -4*f + 166 = p. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 5*s - 3. Let d be q(-6). Let h(k) = -k**2 - 39*k - 350. Let a be h(-16). Suppose -3*y = -2*y + 1. Put y, a, d in ascending order.\nAnswer: y, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 69 + 4*m - 112 + 35. Let x(j) = 2*j. Let b be x(3). Let h be u(b). Solve -s - 3*s + h = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 322085480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*p**4 - 68662*p + 1796454 wrt p.\nAnswer: -56*p**3 - 68662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0978? (a) 8 (b) -8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83860, 167720, 251580, 335440, 419300?\nAnswer: 503160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*p**2 + (4*p - p - 4*p)*(-2*p - p + 2*p) + 2*p + p**2 - 2*p + 2*p**2 + 4*p**2 - p**2 - 2*p - p**2 + 2*p + (1 + p - 1)*(-3*p + 0*p + 2*p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -451, -5 in ascending order.\nAnswer: -451, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 7*d**2 + 6*d - 15. Calculate the lowest common multiple of 8 and w(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.19 - 29. Let m = 61304.8100144 - 61305. Let a = m + u. What is a rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266 - -374. Let d = -107.9 + v. What is the closest to d in 0, 3, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 864678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33710 - 33712 - 33716 + 134851 - 9*n - 33713.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 12*f**2 - 213*f - 198.\nAnswer: 3*(f - 11)*(f + 1)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a decade?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 24\/5*r**5 - 288*r - 74\/3*r**3 + 1\/6*r**6 + 141\/4*r**4 - 48 - 240*r**2. Factor u(s).\nAnswer: (s - 2)*(s + 1)**2*(s + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2919*c**3 - 5243*c**3 + 2322*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2. Let l(p) = 8*p - 7. Let z be l(1). Let y(c) = 13*c**2 + 18*c - 3. Let d(i) = z*y(i) + 6*k(i). List the prime factors of d(-7).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1019690 and 145670.\nAnswer: 1019690","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4514*v**3 + 767*v - 1 wrt v?\nAnswer: -27084*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -26*o - 207. Let v be d(-8). Solve -4*m - 4*r + v = 5, r = m + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2391, -1\/2, -2\/5 in decreasing order.\nAnswer: 2391, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17540213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 + -48. Let l be 6\/g + (1 - (-3988)\/36). What is the highest common divisor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7*t = 122. Calculate the remainder when t is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 10367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*u = -39, -3*u = i - 4*u - 15. Let x be (-4)\/i + (-1130)\/(-35). Let r = 141 - x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(4\/18) - -1. Let i = w + -6. Suppose 0 = -s + 2. What is the remainder when i is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 314835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 112802687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 1, q: 1, v: 3, m: 1, z: 4}. What is prob of sequence mz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(26)\/sqrt(2))**2 - (sqrt(468) + 2)) + -2.\nAnswer: -12*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/5 (b) 2\/19 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 138 (base 14) to base 8\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44104394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -269*g**3\/6 + 152*g**2 - 16*g + 4. Find the first derivative of v(i) wrt i.\nAnswer: -269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7)\/v*v**(1\/2)*v)\/((v*(v**(1\/4)\/v)\/v)\/((v**4\/v)\/v)))**(-11\/3) assuming v is positive.\nAnswer: v**(-363\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3027 + 793. Let k = d + -5366. Let h = -807 - k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -16473395.\nAnswer: -16473394.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52234 - 9189. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 take away -0.676?\nAnswer: -63.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88\/3 - 30. Let i = 78 - 81. What is the second smallest value in i, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75834177, -75834197, -75834231, -75834285, -75834365, -75834477?\n\"Answer: -y**3 - y**2 - 10*y - 75834165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3718 and 88.\nAnswer: 14872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*a = d + 4, d = -5*a - 8. Solve -d - 4 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1970057\/84 + -23454. What is the common denominator of ((-660)\/(-5))\/(-6)*22\/(-385) and t?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200030 divided by 2715.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - -12)*(3 + 0). What is the highest common divisor of g and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 108.9\nAnswer: -43.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 134924 = 134444 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-35)\/14 - -2)\/(11\/(-352)). Calculate the highest common factor of 264 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.885087 rounded to 2 dps?\nAnswer: 3.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 62. Suppose -2*t - 5*p + 1 = 5, p - 13 = -h*t. Let b be t - (3 + -3) - -22. Calculate the highest common divisor of 225 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from kduffdffx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 327*d - 16 = -325*d, 3*u + 6353 = 514*d + 391*d for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b**2 - 1679*b + 3365. Determine m(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -12) + (21 - -1) + 1233 + -1252\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -17) + -21 + 0 + (10 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-1))\/12)\/(5\/(-2))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2148 less than -2147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/155 - 317\/1085. Are c and 2\/73 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -826 - -1765. Is 939 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81299 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*p = 33*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/(-198) - 376\/90 and (-9)\/8 - (-12)\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17529 - -517. Suppose 13*z - a = -z. Suppose -119 = 10*k - z. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2.9, -5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 12*c**2 + 34*c - 8. Determine l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6479 and 3344.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -731*h**3 + 1454*h**3 - 734*h**3 - 18*h to k*h**3 + t + l*h + o*h**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w + 0*w**2 - 3 + 1\/3*w**3. Let j(m) = -10*m - 16. Let g(y) = 2*y + 3. Let c(s) = 16*g(s) + 3*j(s). Calculate o(c(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 13962*v + 125667. Suppose -190 - 124 = -u. What is the remainder when u is divided by c(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6027*d**2*q*v**3 - 3*d**2*q - 3*d**2*v**3 - 4*d**2*v**2 + 915*v**3 - 3*v**2 with respect to q.\nAnswer: -6027*d**2*v**3 - 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4310 - 25781\/6. Find the common denominator of 33\/116 and s.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*k = 0. Suppose -b - b + 88 = 3*n, 2*n + 2*b - 60 = k. What is the highest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81\/4*k + 27\/2*k**2 + 3\/4*k**5 - 81\/4 - 21\/4*k**4 + 15\/2*k**3.\nAnswer: 3*(k - 3)**3*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 9*m**2 - 7*m - 3. Let j be l(8). Suppose -4*u - 8 = 3*g, u + j = 5*g - 20. What is the derivative of -3 + 3 - g + 5 + 2*k**2 wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - 3*i**3 - i**3 - i**2 + 2*i**3 + i**2 + (i + 0 + 0)*(-i**2 + 0*i**2 + 2*i**2) - 24 - 18*i**3 + 24.\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 73171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*n - 221 + 71 = 0, 2*v + 5*n - 130 = 0. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3 + (0 - 2 + 3)*(-1 - 1 - 3))*(-28*o + 14*o - 7 + 16*o) - 53*o - 50*o + 28*o as a + x*o and give a.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037668 rounded to 5 dps?\nAnswer: -0.00377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 34 + (57 - (105 + -42)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 4*y + 47. Let g be k(5). Calculate the greatest common divisor of g and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 646?\nAnswer: -1\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 110 = 7*f. Let d(x) = 7*x**3 + 11*x**2 + 11. Let v(p) = p**3 + p**2 + 1. Give f*v(u) + 2*d(u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918 = -2*y - 2*a + 1192, 0 = -2*y + 2*a + 2086. Calculate the remainder when y is divided by 71.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**5\/7 + o**4\/7 + 4645*o**3\/7 + 9125*o**2 + 42000*o + 450000\/7 = 0.\nAnswer: -60, -5, -4, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 180, 160, 282, 630, 1288, 2340, 3870?\nAnswer: 5962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 2, i: 1, n: 3, v: 1, l: 5}. What is prob of sequence ciln?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -0.13, -2\/7, 2.8 in descending order.\nAnswer: 2.8, 0, -0.13, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249032 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87749 is divided by 153?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4980\/(-2075))\/((-4)\/5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -84081533 divided by -4?\nAnswer: 84081533\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7486 less than -47?\nAnswer: -50.7486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (92 + 34*g - 92)*(-1 + 2 - 6) as k + j*g and give j.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10462674 is divided by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-1))\/(9\/(9\/(-14))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100011110001000 (base 2) to base 5\nAnswer: 1041222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + -29 + (1483 - 1499)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 30906*a + 9982622. Calculate h(-323).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11353, -22626, -33895, -45160, -56421?\nAnswer: -67678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4 + 3348*a**3 + 211503*a**2 + 208152*a = 0.\nAnswer: -59, -1, 0, 1176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 149248 from 6.\nAnswer: -149242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 81 (b) -15 (c) -2\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-11826)\/(-567) - 100\/(-14)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/6 - 2749*y**4\/6 + 1904297*y**3\/6 - 20665055*y**2\/6 + 5622483*y = 0.\nAnswer: 0, 2, 9, 1369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b. Let q be z(5). Let y = -2 + q. Find the third derivative of f**2 - y*f**2 + 2*f**4 + 0*f**4 wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37037, 37035, 37033, 37031, 37029?\nAnswer: 37027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 0*t - 5*t + (-2*t + 0*t + 4*t)*(-6 + 2 + 2) + 3*t - 3*t + t + 0 + 0 + t + 3*t + 0*t - 2*t + (-1 + 2*t + 1)*(-5 + 3 + 0) as w*t + v and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g = 5*g - 74*g + 515 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.849 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/8 and 0\/(-10) - (-2 - 77\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364023?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 17*f + 5*f**2 - 3*f**2 - 21 - 3*f**2 - 4*f. Let y be o(11). Solve 1 = -g - y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 50 = 5*m, -3*m + 1 + 40 = t. Suppose 114*k = 120*k - m. Which is the closest to 0? (a) -1 (b) -4 (c) k (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 + -88. Let f(t) be the third derivative of t**5\/60 + t**4\/4 + t**3 + t**2. Give f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*d**6 + 4*d**3 + 12*d**2?\nAnswer: -1680*d**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 divided by 6?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l + 2191*l**3 + 21*l + 29*l - 726*l**3 - 125*l.\nAnswer: 1465*l**3 - 44*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -7\/2, 5 in ascending order.\nAnswer: -7\/2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486180251.\nAnswer: 17551, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2570466, -0.4, -2\/7 in ascending order.\nAnswer: -2570466, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7571, -7579, -7589, -7595, -7591, -7571, -7529?\n\"Answer: v**3 - 7*v**2 + 6*v - 7571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhh when three letters picked without replacement from hhhsxvkh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t - 16*t + 7*t in the form k*t + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -178, -254, -310, -340, -338?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/3, -3\/5, 0, -4\/9 in ascending order.\nAnswer: -3\/5, -4\/9, 0, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0428, -26, 1\/14 in increasing order.\nAnswer: -26, 0.0428, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1134, -2, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3351, -0.5, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -333 - -237. Find the common denominator of (-2)\/(o*((-5230)\/1305 - -4)) and -61\/38.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 4910\nAnswer: -78560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/360 - 7*r**5\/120 + 3*r**4\/8 - 33*r**3\/2 - 2*r**2 + r. Let j(p) be the first derivative of t(p). What is j(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 162*j - 2600. What is i(14)?\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 589 - 266. What is the remainder when l is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*t - 25 = 0, 5*r + 2*t = 5*t - 23. Let m be (-2)\/6*(-12)\/14. Let w = -5.5 + 6. What is the third biggest value in r, m, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-3.639647\nAnswer: 1.4558588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 54*j**2 + j - 3. Is m(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + 4\/4)*(1976\/133 + -14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*b - 35*b - 4 + 13*b + (-4*b + b + 4*b)*(3 - 4 + 2) + 212*b - 47*b + 18*b - 4*b + 3*b + 2*b in the form h + j*b and give j.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 0*y**2 + 0*y**2 + (-4 + 1 + 2)*(y**2 - 2*y**2 + 2*y**2) + 4*y - 3*y - 3*y + 2*y**2 to r*y + n*y**2 + s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/24*6\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-196)*(2\/1 + 5). Suppose -c = -3*c + 4. Put -4, a, c in descending order.\nAnswer: c, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (sqrt(112)*5*4)**2 - (-4 + (4 + sqrt(7))**2)*4)*-6 + -1.\nAnswer: 168*sqrt(7) + 269255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5100 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4047 and 19937?\nAnswer: -80685039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -32*u**2 + 19*u - 85. Determine h(4).\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1062.7 and -0.1.\nAnswer: 106.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -33)*7\/14. Suppose w - u = -3*d, 3*w + 6 = -d + 1. Is (-746)\/(-4) + d\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201100003033 (base 4) in base 2?\nAnswer: -100001010000000011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14582854153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:01 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320700279 to the power of 1\/3, to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -104.\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3860379.\nAnswer: 3, 47659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6431, -12851, -19283, -25733, -32207, -38711, -45251, -51833?\n\"Answer: -r**3 - 6413*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3540 - 0.3671368\nAnswer: 3539.6328632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5)\/((12\/(-4))\/30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075383 divided by 18?\nAnswer: -119487\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 7. Let x be z(5). Let j(a) = -4*a + 32. Let p be j(8). Is x greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(648) + sqrt(648)*-1) - (((sqrt(162) - (sqrt(162) + -2 - sqrt(162))) + sqrt(162) - sqrt(162)) + -2))**2 + 0.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -4 + (-3 - 0 - -9) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6954 + 6981 + t + 6984 + 6981 - 14*t - 27900.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*n**3*r*v + 1261*n**3*r - n**2*v - 13*n**2 + 10*n*r + r wrt n.\nAnswer: 48*r*v + 7566*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 6. Let j(g) = 7*g**3 - 8*g**2 - 6*g. Let p(u) = u. Let h(b) = q*p(b) + j(b). What is the third derivative of h(r) wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -985279*k**3 + 204*k + 350?\nAnswer: -5911674*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2. Let k(d) = -31*d + 73*d**2 + 81*d**2 - 25*d + 54*d**2. Let y(x) = 11*x**2 - 3*x. Let h(w) = 3*k(w) - 56*y(w). What is s(h(j))?\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + sqrt(104)*-1 + sqrt(104))*3)\/sqrt(8).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 16 + 169 = 4*t, t + 4*q - 51 = 0. Suppose t = g - 4*g. Let j = g + 19. Solve -5*i + j*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 700 - 692. Suppose 5*i + 7 + 23 = 0. Which is smaller: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*d = -111*d - 902*d - 32968 + 2512 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702962672*z**2 + z + 702962664*z**2 + 0*z - z.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*h = 84*h + 720. Let n be 8\/h*6 - (-294704)\/10. What is n rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + t**2 - 8 - 3*t**2)*(-2*t + 4*t + t).\nAnswer: -6*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009036 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 215590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 1. Let i(y) = -y. Let g(t) = -3*a(t) + i(t). Suppose -3*l + 1 = -5. What is the units digit of g(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 + -1242 + 1263.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 2*b**7\/525 + 23*b**6\/75 + 481*b**5\/75 - 184*b**4\/5 + 384*b**3\/5 - 211*b**2. Solve v(p) = 0 for p.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*x - 0*z + 8, -3*x - 2*z + 6 = 0. Let b(j) = -j**2 - 4*j. Let s be b(-4). Suppose w - 25 + x = s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1240, 2467, 3662, 4825?\n\"Answer: -16*r**2 + 1275*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*z + 921*z = -767*z + 131616 for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + d**2 + 6*d. Let j be ((-6)\/15)\/(-2 - (-31)\/15). Let z(i) = i**2 + i + 1. Let f(x) = j*z(x) + w(x). Determine f(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((2 - 45\/24)*-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3492 + -3486. Solve -2*f = -5*h + 12, h - y*f = -8*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.617271406 rounded to 2 decimal places?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/874 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828287 is divided by 2809.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 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: What is the cube root of 9461110 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1424, 1550, -882, -7150, -18532, -36306?\n\"Answer: -213*w**3 - w**2 + 1620*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**7\/140 - k**6\/80 + k**5\/40 + k**4\/16 - 11*k**2. Factor c(r).\nAnswer: -3*r*(r - 1)*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 69*i. Let u(n) = 11*n**2 + 23*n**2 - 31*n**2. Determine u(a(c)).\nAnswer: 14283*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1 - (3\/9)\/((-8)\/19176)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 3*x - 3. Let m(o) = 7*o**2 - 5*o + 5. Let c(u) = -3*m(u) - 5*p(u). Let t(i) be the first derivative of -23*i**3\/3 + 25. Calculate c(t(s)).\nAnswer: -529*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + i**2)*(5*i**2 - 5*i**2 + i**2) + 5457*i**3 + 338*i**4 - 5457*i**3.\nAnswer: 339*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7297 - -12581. Does 30 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -22000110?\nAnswer: 22000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9576 is divided by 155?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(27\/12 + -2). Suppose -5*a + a - h + 50 = 0, -h + y = 2*a. Calculate the remainder when 1\/(-1) + a + 0 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(16\/(-10)))\/(((-2065)\/59)\/(-980)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/6 + 503*o**4\/2 - 41169*o**3\/2 - 296905*o**2\/6 + 604142*o + 632790 = 0.\nAnswer: -6, -1, 5, 89, 1422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 253206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1*39\/(-260))\/((6\/20)\/(72\/(-15)))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20173 - 20172.90533. Let w = i - 0.094. Round w to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 + 276*y - 279 = 0.\nAnswer: -93, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**4 - t**3 - 2*t**2 - 2*t. Let m(w) = 890*w**4 - 2*w**3 + 121*w**2 - 4*w - 3. Let l(h) = 2*i(h) - m(h). Find the third derivative of l(x) wrt x.\nAnswer: -21312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*g + 25, 4*k - 27*g = -25*g - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, o: 2, a: 1}. Give prob of sequence oa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x + 17. Let w(a) = a**3 - 6*a**2 - 6*a - 7. Let c be w(7). Let h be z(c). Calculate the highest common factor of h and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -835*y**3 - 2*y**2 + 1584*y - 3. Let q(g) = -3*g**3 + 2*g - 1. Let s(o) = -d(o) + 3*q(o). What is the second derivative of s(w) wrt w?\nAnswer: 4956*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**4 - z**2. Let d(w) = w**5 + 501*w**4 - w**3 + 10*w**2 + 2*w + 15. Let f(q) = -d(q) + 7*i(q). What is the third derivative of f(u) wrt u?\nAnswer: -60*u**2 - 11688*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*l - 419, -6*z - 2*l + 2078 = -z. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2) + (0 + -1 - -195). Suppose 4*z + 2*v + 2*v - 188 = 0, -3*v - r = -5*z. Is 42 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**4\/12 + 3*a**3\/2 - 7*a**2\/2 + a. Suppose 13*s - 6*s - 49 = 0. Let r be t(s). Solve 5*l - 9 = 3*x, 4*x - 1 = r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - 9 - (9 + 11 + -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*c - 17, -4*z + 2 = 3*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-10)*(-11 - -5 - -5). Let o = -6 + 4. Which is the nearest to o? (a) m (b) 2\/13 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.595268 + -276.127732. Let b = x + 292.59. Let m = -15.7 + b. What is m rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554333 is divided by 432.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i + 4. Let q(c) = -1. Let p(g) = 6*q(g) + 2*y(g). List the prime factors of p(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280972444.\nAnswer: 2, 971, 72341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7 - 3 = 0. Suppose -i*n = -3*n + 91. Suppose n = 3*a - 68. Is a 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 8:35 AM and 11:59 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-133)\/(-76)*15\/70. What is the second biggest value in -3, f, -2\/21, -12?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*g + 78. What is the derivative of 2*z - 5*z + 44 + 5*z + g wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -52. Suppose 2*m + m + 42 = 5*r, -m - 34 = -5*r. Find the third derivative of -4*k + 4*k - p*k**2 + 3*k**r wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 17 - 19 - (15 + -25) - (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106802*p - 252 = 106816*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1358 and 137\/6.\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -58, -17, 29, 9 in descending order.\nAnswer: 29, 9, -2, -17, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2543*i**3 - 642*i**2 - 35214*i + 356 wrt i.\nAnswer: -15258*i - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225504 and 76.\nAnswer: 4284576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 159*v**5 - v**4 - 38*v**2 - 4?\nAnswer: 9540*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.4 or 20\/39?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 * -13345.\nAnswer: 4270.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13046 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: Let v = -0.4 - -0.3. Let n be 0 - -6 - (-11)\/(198\/(-108)). Which is the nearest to v? (a) 3\/7 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -178 + 168?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -891597, 7 in decreasing order.\nAnswer: 7, -1, -891597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 34. Let k be (-1 + p)\/(4\/(144*1)). What is the highest common divisor of 54 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 7*x + 18. Let u(a) = x*a - 2 - 6*a + 4*a. List the prime factors of u(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -113224 (base 6) to base 15\nAnswer: -2d8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14108282 to the nearest integer?\nAnswer: 3756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -11) + 28 + -1 + -24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 150*v - 122. What is the remainder when i(5) is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/11 + 342572*y\/11 + 14669446898\/11 = 0?\nAnswer: -85643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35.2*24\nAnswer: 844.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4858783*o - 3 - 4858784*o.\nAnswer: -o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 4*w - 40, -y - 23 + 3 = -3*w for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296\/540 - ((-2)\/(-5) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.143 and -0.34.\nAnswer: -0.38862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1249091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 - 4*h - 7. Calculate f(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -2*m - 96. Solve m = -0*n - 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37961699 is divided by 350.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58563*k**3 + k - k + 58566*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 3.27.\nAnswer: 24.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-10)\/(-36)*(-3)\/(-5)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -949, 7, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4464189 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -8, 3, -5, -4 in decreasing order.\nAnswer: 3, -0.09, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-14)\/(-12) - 1) + 1192\/48 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 76037, -1.\nAnswer: -12, -1, 76037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151.9 + 556.1. Let j = g - 720. What is the nearest to j in -5, -1, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(190)\/(sqrt(20)\/sqrt(2)) + 4.\nAnswer: 4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1336 divided by 25.\nAnswer: -1336\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -11\/2*l**2 + 0 + 11\/12*l**4 + 2\/3*l**3 - 4*l - 1\/20*l**5. Let d be a(9). What is the highest common factor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57275\/37 - 1548. Which is smaller: y or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106790479*n**4 - 62090918*n wrt n?\nAnswer: -1281485748*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - -137)\/(2 + -3). Let b = 331 + z. Let v = b - 79. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -247*n + 763. Determine q(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3570, -7159, -10748, -14337?\nAnswer: -17926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 4 - 3)*(0 + 0 - 2*i) - 1 - 2*i + 1)*(182*i**3 + 1492*i**3 - 518*i**3) to u*i + d*i**4 + g + a*i**3 + o*i**2 and give d.\nAnswer: 2312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417625.\nAnswer: 5, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbhb. Give prob of sequence bj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 794359116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222 (base 3) in base 9?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/1181 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7897, 7898, 7901, 7906?\n\"Answer: m**2 - 2*m + 7898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3731*h**4 - 5*h**3*r + 2*h*r - 2*r - 15285 with respect to h.\nAnswer: 14924*h**3 - 15*h**2*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, 12, -57, -52 in ascending order.\nAnswer: -57, -52, -2, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -10. Is a at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, n: 2, h: 1, a: 3}. Give prob of picking 2 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -8\/7 - 40\/7*b + 4\/7*b**3 - 6*b**2 + 2*b**4 = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 + 219*q**3 + 4*q**3 + 102*q**3 - 11*q**2 - 22*q**3.\nAnswer: 303*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -16, 5*t + 1503 = 4*r + 231. Round r to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.03 - 14.3. Let n = m + -0.13. Let t = n - -1.4. Which is the third smallest value? (a) t (b) -2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 + -76. Let g be 1\/(4 - (-2 + 3)). Factor -g*i - 1\/6*i**q - 1\/6.\nAnswer: -(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 5*b**3\/3 + 5. Let f(l) = -l. Calculate f(q(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3\/5, -1, -3 in decreasing order.\nAnswer: -3\/5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43929 by -4.\nAnswer: 43929\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p - 92. What is m(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/10 - 5\/25. What is the tens digit of (-74)\/(-6) + a\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (12 - 40) - ((-8 - 50) + (-1 - 2))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 110, 207, 316, 425, 522, 595, 632?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 6*n**2 - 3*n + 17. Let i be f(-5). Suppose 2*r - 2*m - 1166 = 0, -i*r = -2*r + 5*m - 2945. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2527.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64085315?\nAnswer: 5, 7, 1831009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/18*(-25 + 1638\/72) + -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from cccfdfzzccwfc?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16438)\/(-12) - 1\/(-1)*12\/72. What is the highest common divisor of n and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 94*i**2 + 156*i + 6012. Let w(m) = 63*m**2 + 103*m + 4009. Let k(p) = -7*v(p) + 10*w(p). Differentiate k(d) with respect to d.\nAnswer: -56*d - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 10:12 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 37. Calculate b(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (sqrt(2736) - (1 + sqrt(2736))) + 4 + sqrt(2736))**2.\nAnswer: 144*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 462 = -2*s - 410, -68 = -3*p + 7*s for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 2:07 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 96297586969 + 2\nAnswer: 96297586971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 52.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + g + 12. Let z = g + 0. Suppose 4*w - t - 2*t = 127, -3*w + z*t = -97. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29906 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1*-1)\/((-11)\/583)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(882)*-1 - (sqrt(128) + ((sqrt(128) + -1 - sqrt(128)) + 2 - sqrt(128))**2 + sqrt(128)).\nAnswer: -129 - 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 200 + -1352?\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390318, 390309, 390294, 390279, 390270?\nAnswer: 390273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365953316.\nAnswer: 2, 367, 249287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*a = 10*a - 82 - 666 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2193\/19900 + 8\/199. Find the common denominator of p and 7\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 5*b**2 - 5*b - 3. Let p be q(-3). Let u be 0 + 38 + p\/3. Suppose -2*s - s = -u. 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: Four letters picked without replacement from {o: 3, s: 1, m: 13, t: 1, i: 2}. Give prob of picking 2 o, 1 t, and 1 s.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42 + 2*3\/(-2). Suppose -37*j - 10 = -d*j. Suppose 1126 + 1579 = j*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -190 + 22039\/116. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-13)\/r**(-38)*r**(-1\/5)\/((((r**(2\/91)*r)\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(12184\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**(2\/3) assuming n is positive.\nAnswer: n**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1903*h*j*o**2*q - 51*h*j*o**2 - 44*h*j*o*q - h*j*o + 20*h*j - 3*h*o**2 - 5*h*o*q + 3*h*o - h*q + 2*q wrt o?\nAnswer: -3806*h*j*q - 102*h*j - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 3. Let a(t) = t - 1. Calculate 5*a(l) + n(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.3781 rounded to one decimal place?\nAnswer: -172.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -95041700 divided by -10084?\nAnswer: 9425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.6615156 rounded to one dp?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81590 is divided by 13597.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 3*a - 4. Suppose -3*d + f + 6 = 0, f - 1 - 8 = -2*d. Let j be y(d). Suppose 0 = 8*u - 17 - j. Let r(o) = -3*o + 5. What is r(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1637\/2 + -819. Put -0.02, m, -6 in increasing order.\nAnswer: -6, m, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (12 - -4 - 8 - 15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqyy when four letters picked without replacement from {y: 9, q: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0, 18, -0.0654107?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in 1.1, -0.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b + 30 - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-55))\/(2 - (-24)\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r**2 + 17*r + 5. Let n(b) = 7*b**2 + 11*b + 3. Let w = -10 - -15. Let s(k) = w*g(k) - 7*n(k). What is the units digit of s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2. Let l(v) be the first derivative of 2*v**3\/3 - 6. Give i(l(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 3\/4, 2\/3, 125?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -213*n**4\/8 + 129*n**3 + 707*n**2. Differentiate g(t) with respect to t.\nAnswer: -639","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-18) + 6\/2)*(-42)\/(-98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by 1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-6343 + 8727 - 5727)*(t + 2*t - 4*t).\nAnswer: 3343*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10920 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/6 + 4591*v**2\/6 - 2297*v = 0?\nAnswer: -4594, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/2*1)\/1. Suppose -10*y = -s*y. Let u(p) = -p**2 - 3*p + 4. Let k(o) = -2*o**2 - 5*o + 8. Let t(q) = -3*k(q) + 5*u(q). Give t(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 11. Let a(r) = -5*r**3 + 2*r + 1. Suppose -l - 5*u - 21 = 0, u = l + 2*u + 5. What is the remainder when a(l) is divided by n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z*z**17*z)\/z)*z**(2\/19)*(z**(-3\/2)*z)\/z**9)**35 assuming z is positive.\nAnswer: z**(-36435\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 1)*(-5*b - 14*b + 5*b) + 3*b - 2*b + b + (-3*b + 4*b + b)*(0 + 4 - 2) + 3 - 3 + 2*b + (-4 + 0 + 2)*(-4*b + 0*b + 6*b))*(-1 - 3 + 5).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 7*j + 4. Let l be f(7). Suppose -l*n + 5 = -4*m - 3, -2*n + 6 = -4*m. Sort -2, m, -4.\nAnswer: -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -12 - (1 + -1 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/195)\/(81\/(-60))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 7*i + 4*i)*(-i - 3*i + 6*i)*(-199*i**2 + 137*i**2 - 213*i**2).\nAnswer: 1100*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*u - 165 = -3*b, 3*u - 168 = -2*b. Suppose -a = a - u. Suppose -k + 7 = 3*n, -2*k - k + a = n. Is 10 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.03 - -2.17. Let d = x - 167.3. Round d to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 38 = -15*v + 122. Solve 16 = -v*b + 8*b + 3*a, -5*b + 20 = -a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11808654 a multiple of 2215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = -1141*s + 1182*s. Let q(p) = 31*p**2 + 2*p + 1. Let b be q(-1). What is the greatest common factor of s and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108) + 5*sqrt(108)*5 + sqrt(108) + (sqrt(2100)*-6)\/sqrt(7) + -2)*-5.\nAnswer: -540*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 3. Let l be g(2). Let u = -23\/4 - l. Find the common denominator of (113\/(-16))\/(363\/484) and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (21 - (1 - (38 - 17)))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 - 197 - 3*x + 2*x.\nAnswer: -x - 328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 776 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7979705949*u - 7979705949*u - 13*u**3.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*d - 29 = 2*l, 3*l + 107*d - 199*d = -93*d - 87 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 874494324 a multiple of 4742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1269\/11 - 1295\/11. What is the common denominator of r and 38\/473?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 + 13*c - 13*c + 0*c**3 - 3*c**3 + 4*c**3 + (-1 - 2 + 5)*(-5*c**3 + c**3 + 2*c**3) - 241*c + 241*c - 59*c**3.\nAnswer: -57*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**2*y**2 - 3915*u**2*y - 2*u**2 - 84*u*y**2 - 33*y**2 wrt u?\nAnswer: -2*y**2 - 7830*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 0, 2*g - 4*g = d - 144. Find the common denominator of (-7)\/(196\/g) + (-2)\/12 and -109\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-2 + 3 + 38 + -16 + -26).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439176, -878368, -1317560, -1756752, -2195944?\nAnswer: -2635136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(588)*6 - sqrt(588))\/(1*sqrt(48)))\/((-1*sqrt(1008) - sqrt(1008))*-5*-3).\nAnswer: 7*sqrt(7)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 78*m**2. Let x(q) = -12*q - 5. Let y(w) = 5*w + 2. Let k(z) = 2*x(z) + 5*y(z). Calculate h(k(t)).\nAnswer: 78*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97*o + 97*o - 15*o**2)*(-5*o + 2*o + 5*o) + (-o**2 - 3*o**2 + 2*o**2)*(2*o + o - 2*o).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n. Suppose n*u + 4*u = 148. What is the remainder when u is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 411*1 + (123 - 129). What is the highest common factor of 540 and n?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*z**3 + 1624*z - 1624*z + 66*z**3)*(-44*z - 25*z + 29*z).\nAnswer: -4320*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*r + 28 - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (0 - 59) + -6 + (3 - -7)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -854 * 552.\nAnswer: -471408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4, -u + 31 = -5*j - 303. Factor 2106 - 480*r + 5*r**2 + 6632 - u + 4058 - 952.\nAnswer: 5*(r - 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 5\/3)*9. Let a(h) = -h**2 - h - 2. Let t(q) = -q**2 + 4*q - 6. Let i(s) = -2*a(s) + t(s). Give i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3431, -3334, -3247, -3176, -3127, -3106, -3119, -3172?\n\"Answer: -g**3 + g**2 + 101*g - 3532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3680 = -147*a + 151*a. Suppose -12*d + a + 640 = 0. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-111)\/(-74) - (-2)\/(-4). Let m be (-2)\/(-6) - 2\/6. Let u(o) = -o - 3 + 2 + m. Let q(x) = -3*x - 5. Give i*q(f) - 4*u(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2)**2 + sqrt(108) + 1 + (4*(-4 + sqrt(108)) - sqrt(108)).\nAnswer: 24*sqrt(3) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -43*d - 299. Let j be s(-7). Solve 87 - j = -17*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1863168 divided by 24.\nAnswer: 77632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-72)*3 - (-3)\/12. Let l(x) be the third derivative of 0*x + r + 0*x**4 - 5*x**2 - 1\/30*x**5 + 0*x**3. Let k(c) = -3*c**2. Give l(k(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 9 = -5*m - q, 4*m - 4*q = 0. Suppose 5*w - 2*l = 33, -w + 0*l - 7 = 3*l. Solve n - m = -w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(156) - (sqrt(156)*4 + sqrt(156)))*4)\/sqrt(12) + 4.\nAnswer: 4 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10\/8)\/((-4)\/2*27\/216)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 340.3 - 340. Which is the fourth biggest value? (a) n (b) -2\/9 (c) 0.7 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - 2*f**3 + f**3)*((-6 + 5 - 10)*(2*f**2 + 0*f + 0*f) - 2*f**2 + f**2 - f**2).\nAnswer: 24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = f, -2*v - f = -0*v. Is v bigger than -2\/545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 2*z)*(-24*z - 37*z + 12*z) + 4*z + 3*z**2 - 4*z + (1 + z - 1)*(2*z + 5 - 5) - 5*z**2 + 4*z**2 + 0*z**2.\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - c**2 - c + 1. Let d(k) = 1116*k**3 - 5*k**2 - 10*k + 3. Let s(v) = -d(v) + 3*p(v). Let l be s(-8). What is l rounded to the nearest 10000?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -707 and -64.\nAnswer: 45248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -40615.9+-179.783716\nAnswer: -40795.683716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5 - 1, -5*u + 23 = 2*m. Factor -3*c**2 + 0*c**2 + 6*c**4 - 2*c**3 + 0*c**2 - c**u.\nAnswer: 3*c**2*(c - 1)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 1, w: 2, s: 1, e: 1, h: 1}. Give prob of sequence wkv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**3*u**4 - 64*t**3*u**2 + 2*t**3*u + t*u**2 + 3*t*u + 130*u**4 wrt u?\nAnswer: 72*t**3*u + 3120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1 - -5) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2. Let j(b) = -b**2 + 5. Suppose -14 = -2*l + l. Let p(k) = -5 + 14*k + 6*k + k**3 - l*k - 7*k**2. Let i be p(6). Determine i*s(c) + 2*j(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + k**5)*(-1 + 2 - 2) + (-2*k - 2*k + k + (-4*k + 3*k + 0*k)*(1 - 2 + 0))*(-k**4 + 243*k - 38397*k**3 + 38397*k**3).\nAnswer: k**5 - 486*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcktc. What is prob of picking 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46911329.\nAnswer: 23, 2039623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1656)\/(-28))\/(((-130)\/28)\/(-5)). Let k = x - 2415\/52. Find the common denominator of k and 61\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147917 + 14*a + 147910 + 147910 + 10*a - 443737.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*i + 4680 = -583*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*d**2 + 139*d**2 - 2*d**2 + 2*d**3 - 39*d.\nAnswer: 2*d**3 - 39*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 31*m + 224 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -9.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, o: 1, b: 5}. Give prob of sequence okkb.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 123, -0.4 in increasing order.\nAnswer: -1\/2, -0.4, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + ((1 + sqrt(1053))*-4)**2 + 0 + 4*((sqrt(1053) + sqrt(1053) + -2)**2 - sqrt(1053)).\nAnswer: -36*sqrt(13) + 33721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 144. Let c(n) = -35*n - 39*n + t*n. Let g(p) = -p**2. Let b(w) = -w**2. Let k(m) = -3*b(m) + g(m). Give k(c(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7150.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**5\/90 - g**4\/36 + 13*g**2\/2 + 10. Let j(m) be the second derivative of o(m). What is s in j(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43165 - 2976\nAnswer: -46141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -25*l**2 + l + 18. Let g(t) = 21*t**2 - t - 12. Let f(w) = 3*g(w) + 2*q(w). Let j = -2 - -4. What is the remainder when f(j) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(7 - 3 - 2)*(-23*x - 26 + 26).\nAnswer: -46*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14175 divided by 1?\nAnswer: -14175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 10:09 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 206616565 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2. Let d(o) = o**3 - 6*o**2 - 6*o - 1. Let g be d(7). Let p(r) = 6*r - g*r**2 - 6*r. What is b(p(k))?\nAnswer: -108*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.2 - -10. Let c = -17455 - -17459. What is the second biggest value in -4, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*y - 4*y + 650 = 0, q + y - 330 = 0. Let x = 546 - q. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n. Let q(x) = -7*x. Let o(m) = m**3 + 13*m**2 - 28*m + 24. Let c be o(-15). What is c*q(w) - 7*b(w)?\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*v - 1 + (v - 1 + 1)*(7 - 3 + 0).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - 0. Let i be -1 - 0 - 504\/(-14). Let l be (-4)\/i - 8\/(-20). Sort 3, s, l in decreasing order.\nAnswer: 3, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**2 + 4*l + 122. Let t be c(25). Let k = -2284 - t. What are the prime factors of k?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + q + 2467, -4*j + j = -4*q + 1836. Let t be j\/147 + -1 + (-2)\/(-6). Which is greater: t or -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.41503 + -0.01503. What is the nearest to -3 in b, 0.3, 17\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 898870.234 to the nearest one hundred.\nAnswer: 898900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 12 = -3*c, -3*c + 0*f = -f - 4. Let y = 115 - c. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 2)\/(1\/(-3)). Suppose -4 = n*i - i, 0 = -5*w - 2*i + 886. What is the remainder when 64 is divided by 1\/(-4) - w\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/5 + (-51)\/(-15). Suppose w + 0 = -3*g + 4, -x*w + 16 = -g. Let q be -6 + (2 - w) + 4. Let b(t) = -t**2 - 3*t - 1. What is b(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1119, 2101, 2857, 3273, 3235, 2629, 1341, -743?\nAnswer: -3737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjn when three letters picked without replacement from {p: 3, s: 4, g: 4, n: 3, j: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 + 87*o + 93. Let d(s) = -2*s**2 - 29*s - 32. Let h(c) = 17*d(c) + 6*z(c). Give h(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1842 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -14764 - 2012. Suppose -3*z = -5*r + 64954, -4*z = 2*r - 17541 - 8451. Let b = u - r. What is b rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*z - 3*z = -110, -2*j - 3*z = -35. List the prime factors of 39*j + (-56)\/56.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 - 194950*d**3\/3 + 9501375625*d**2\/3.\nAnswer: d**2*(d - 97475)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 5. Let g be u(5). Let q(f) = -f**2 - 2*f**2 - 4500000 + 2*f**2 + 0*f**2. Let n be q(g). Round n to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + i)*(-5*i + i + i) - 23*i**2 - 11*i**2 + 43*i**2 + (3*i**2 - i**2 - 7*i**2)*(-1 + 1 - 4).\nAnswer: 35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966.182 millilitres in litres?\nAnswer: 1.966182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -21*k. Let w be j(-2). Suppose -15*f + 5*p = -12*f - 698, 0 = -3*p - 3. What is the greatest common divisor of w and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times -15\nAnswer: 2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysdddszdsd. What is prob of sequence dsy?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4122 + -4120. Suppose -n + 1\/2*c**2 + 0*c = 0. What is c?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t + 6205 = -48*t. Suppose -5*u + 304 = n, -u + 67 = -4*n + t. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28022983 + -11?\nAnswer: -28022994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -721660, -1443325, -2164994, -2886667, -3608344, -4330025, -5051710?\nAnswer: -5773399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzs when three letters picked without replacement from zzzsq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from {u: 1, l: 1, p: 1, f: 2, n: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2880) - -1*sqrt(2880))\/sqrt(9) - (sqrt(135)\/sqrt(3) - 4*sqrt(5)*-2)**2).\nAnswer: -1815 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 238999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 177 = 69. Suppose v = 4*i - 149, -3*i - 2*v + r = v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75*(1 - 2)\/(9\/6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*o**6 - 62*o**4 + 67*o**2 - 2*o - 1.\nAnswer: 9840*o**3 - 1488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231467846.\nAnswer: 2, 1907, 60689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**3 + 3*j**2 - 3. Let f be q(-3). Let u = f - -187. Suppose -2*b - 4*m + 247 = b, 5*b - 5*m = u. What is the remainder when b is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -1\/33*a**3 - 1\/154*a**7 + 1\/44*a**5 - 36*a - 1\/330*a**6 + 0*a**2 + 1\/132*a**4 + 0. Solve p(f) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 m, and 1 r when three letters picked without replacement from {x: 1, b: 3, r: 1, m: 1, j: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170063*l - 170068*l - 4*o = -94, -5*l - 3*o = -68 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from xkriotr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1079587 or 1079585?\nAnswer: 1079585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 3.3605?\nAnswer: -1.6395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 7) + 2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -282.71, 3, 0.1?\nAnswer: -282.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -145048.1156 rounded to the nearest 100?\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1222 = -3*m - 397. Suppose -20 = 4*t, x - m = t - 5*t. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/9, 4\/11, 1, -0.3, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2417*b - 47704 - 114235 for b.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -g + 20, 7*y - 3*g = 5*y + 36. Let b = -8 + y. Calculate the remainder when 10 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16*333\/(-13024)*-22. Let a(g) = 11*g - 27. Let i(x) = -4*x + 9. Let h(f) = -3*a(f) - 8*i(f). Calculate h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 707*o**2 + 12. Let n(c) = 130795*c**2 + 2222. Calculate 1111*j(h) - 6*n(h).\nAnswer: 707*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 2*s**4 + s + 0*s**3 + 0*s in the form o*s + w*s**4 + a*s**2 + r + g*s**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 106*(1 - (-4)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93289103 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 36. Let z be t\/(-91) + 6\/21. Let x = -6.8 - -5.8. Sort x, z, 3\/2.\nAnswer: x, z, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4526861 + 12068081 = 266*b. List the prime factors of b.\nAnswer: 13, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -475655 divided by -95131?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Suppose 2 - 6 = -4*s. Suppose 2*j + i = 3 + s, j = -3*i + 2. Let h(n) = -n**2 + 0*n**2 + 4*n**j. What is h(m(g))?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 8:22 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g + 28 = 3*v, 0 = 4*v - 2*g - 72. Calculate the remainder when (-250)\/(-8) + (-4)\/v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let u(n) = -9*n + 5. Let y(k) = 28*k - 16. Let v(l) = -16*u(l) - 5*y(l). Determine w(v(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, d: 9, b: 8}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4767769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmk when three letters picked without replacement from {k: 5, u: 11, m: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:01 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 27*f - 26*f + 3, -42 = p + 8*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - (2 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -13*a**2 + 6*a + 6. Let n(q) = -2*q**2 + q + 1. Let k(c) = -d(c) + 6*n(c). Let h(x) = -43*x**2. Determine k(h(g)).\nAnswer: 1849*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3575 * -3\nAnswer: 1.0725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371998, -743998, -1115998, -1487998, -1859998?\nAnswer: -2231998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.43 - 0.43. Let p = b - 11. Let d = 2 - p. What is the third biggest value in 0.5, 0.03, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*d - 10, 0 + 17 = -4*o - 5*d. Let y = -8 - o. Let b be ((-2)\/5)\/(1\/y). Put -1, b, -2 in descending order.\nAnswer: b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:36 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/270978822 and -131\/541957644.\nAnswer: 541957644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*w - 5356, 4*w + 1826 = 4*c - 2442. Suppose 27*f + c = 32*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -239.75.\nAnswer: -239.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358621731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 179969857370237 and 0.1.\nAnswer: 179969857370237.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102181, 5, 3 in ascending order.\nAnswer: -102181, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h**2 - 2*h - 2. Let m be w(-1). Calculate the smallest common multiple of 130 and (-11)\/m + (-122)\/549.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 72*f**3 + 78*f**3 + 5 - 2*f**3 - 30*f**3.\nAnswer: 118*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 + (-22)\/(-6))*1083\/(-133) and (-284)\/(-6)*9\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10295286 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.073 + 0.073. Let g = -9 + 0. Let f = p - g. Put f, 5\/4, -3 in descending order.\nAnswer: f, 5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 55. Suppose w*h - 62*h = 15. Suppose -3*r - h*t + 15 = 0, 0 = -4*r - 3*t + 16 - 0. Which is the nearest to 0.2? (a) 0.1 (b) r (c) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x = -4*m - 41, 0 = 2*x + 4*m + 26. Let q be 2\/(x\/(-15)*3). Suppose -4*i = -2*v - 2*v - 8, 0 = 3*v - 3. Do i and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 1 + (2 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -d. Suppose 5*g + 2*y - 136 = g, 0 = -2*y + d. Suppose -3*r - 1 = -10. What is the greatest common divisor of r and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 13*a**2 - 5*a + 1. Let j be 984\/(-252) - 4\/42. Let p(m) = 4*m + 21. Let v be p(j). Is k(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7))**(-4)*(g\/g**(1\/5))**(3\/25))**(2\/81) assuming g is positive.\nAnswer: g**(2168\/70875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/156 and 61\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 + 11*p**2 + p - 6. Let q be u(-2). What is the highest common factor of q and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1. Let m(y) = 3*y. Let s(q) = 6*a(q) - m(q). Determine s(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 56. Let a be f(0). Let u be a\/(-3) - 5\/(-15). Suppose l = 46 + 11. What is the greatest common factor of l and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-1 + 3 + sqrt(252))**2 - ((sqrt(84)*-2*-6 - sqrt(84)) + sqrt(84))\/sqrt(12).\nAnswer: -12*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/11))**(-9)\/((c*c*c\/(c*c**0))\/c**(-4)) assuming c is positive.\nAnswer: c**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {j: 3, h: 6, a: 5, t: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 4:17 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:54 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -8*o**3\/3 + 24*o - 1666. Let q(z) = -27*z**2. What is c(q(i))?\nAnswer: -5832*i**4 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvx when three letters picked without replacement from xvvvxvvvvvv?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*z + 65, -b - 35 = -63*z + 68*z. Let g(r) = 2*r**2 - 3*r + 21. Let u(v) = 6*v**2 - 8*v + 62. Calculate b*u(w) - 14*g(w).\nAnswer: 2*w**2 + 2*w + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**5\/60 + 3*h**4\/8 - 2*h**3\/3 + 2*h**2. What is the units digit of a(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -10. What is the highest common divisor of l and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 1499489.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.18, 1\/3, 41, -18, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/4 (b) 1 (c) 0.4 (d) -9.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f + 7. Let h(i) = i - 1. Let q(g) = -51*h(g) - 6*u(g). Let r be q(-2). Is 8\/12 + 0 + 487\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46565752 + 2.5?\nAnswer: 46565754.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 414*k**3 - 9*k**2 + 7*k + 30. Let q(a) = -138*a**3 + 3*a**2 - 2*a - 9. Calculate -10*q(u) - 3*y(u).\nAnswer: 138*u**3 - 3*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93402074*y - 3*y**3 - 46700995*y - 46701079*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, a: 3, w: 11, d: 1}. Give prob of sequence ayd.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 - -1d1?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 8:51 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Suppose 3*x = 3*a - 45, 0*a - 4*x = h*a - 76. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2031*5.\nAnswer: -1.0155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 3395 + 2449 - 3014 in the form m + v*d and give m.\nAnswer: -3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 + (-1 - 2) - (14 - 15 - 11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10857 - -10878. Solve -5*l + 15 = r, 3*r = 14*l - 17*l + i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1036)\/8 + -4)\/(3\/(-80)). Suppose -18*r = -22*r - w. What is r rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -12. Suppose n = -5*y - 3*j + 19, 4*j = -4*y - j + 23. Calculate the greatest common divisor of y and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 6*d - 3. Let r be n(-4). Suppose -13 = -r*h + 152. Suppose 8 = -5*q + h. Solve -20 = q*o - 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-9))\/(238697\/(-12563)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5 - 3*d**2 - d**3 - d + 5*d + 6 - 3. Calculate g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/(j*j**(4\/7)*j)*j**(-1\/9)*j**5)\/((j**(-2))**(-46))**(-14) assuming j is positive.\nAnswer: j**(81416\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 239 - 123. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(2\/11)*w*w)\/w)\/(w**(-8)\/w))**17 assuming w is positive.\nAnswer: w**(2278\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883097577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 503 - 48. List the prime factors of v.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 12, -3*r - 201 - 525 = -2*p. Suppose p = 3*l - 0*w + 3*w, 0 = -3*w. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 5*l - 4. Let f(m) = 8*m**2 + 40*m + 32. Let j(h) = 6*f(h) + 51*k(h). Find v, given that j(v) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1) - 4756\/28. Let q = i + 18653\/112. Let f = 4372 + -35037\/8. Calculate the common denominator of f and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/45 and -74\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52787 is divided by 2932.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271334.\nAnswer: 2, 7, 19381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-406)\/20706)\/(104\/(-1989))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 0*r + 2*r**2 - 5\/24*r**4 + 0 + 1\/30*r**5 - 1\/2*r**3. What is u in h(u) = 0?\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6705 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-495)*10\/(-2)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133602*a**6 - 221853*a**2 wrt a.\nAnswer: 16032240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 514190406 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (21 + 1521\/(-72))*(-102 + -2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34592913?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*u + 20, 5*u + 15 = -7*r + 2*r. Let s(q) = -q**2 - 7*q - 6. Let w be s(-5). Suppose 2*y = 6, 0*b = w*b - r*y - 326. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15117040.\nAnswer: 2, 5, 233, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 2*q + 28, -2*i - 7*q = -2*q - 28. Suppose -2*p - 2 = 5*h + 8, -3*p = 0. What is the fourth smallest value in h, i, -3\/4, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 508611, 1, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-15)\/3 - -107995. Round r to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-45))\/(11\/10). Are s and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1264104 and 111744.\nAnswer: 20225664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.398920471 - 3\nAnswer: -3.398920471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*x + 462 = -975, 5*x + 5 = 0. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*h - 13, 39 = 4*h + o + 33. Solve h = q, -3*v - 18 + 9 = -3*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(154)\/(sqrt(7) + (sqrt(847) - (-2*sqrt(847) - sqrt(847))) - sqrt(7)))\/((-5*sqrt(56))\/sqrt(7)))**2*3.\nAnswer: -3*sqrt(11)\/44 + 1320003\/17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2 + 1 = k, 5*i + 30 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 17 + -8 + 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153176 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**13*g))\/g)\/(g*g*g**(1\/2)*g)*(g**(6\/7))**(4\/17) assuming g is positive.\nAnswer: g**(-4355\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4.7, 4\/3, -0.1, -0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 2*r - 2*r)*(r**3 + 0*r**2 + 0*r**2) + 3*r**4 - 2*r**4 + 0*r**4 + (3*r**2 + r**3 - 3*r**2)*(-r + 4*r - r) + 2*r**4 + 0*r**4 - 3*r**4.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3389700749 to the nearest integer?\nAnswer: 58221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*b**3 - 70875*b - 789920 wrt b?\nAnswer: -15*b**2 - 70875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 198\/(-14)*2 - (-8)\/28. Let t(m) = m**2 + 13*m - 10. Let p be t(-9). Let z = p - g. Is -18 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 70, 82, 68, 16, -86?\n\"Answer: -2*z**3 - z**2 + 29*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 4:24 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {i: 1, n: 1, v: 1, e: 1, x: 2, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 133345237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/4 + 15\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 2*v)*(-1 - 2*v + 1 + (v + v - 3*v)*(-1 + 2 + 2))*(5 - 5 + v**2).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -35\/2, -15\/43, -3, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/30)\/(1512\/1890).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0801 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from {i: 2, l: 2, z: 1, m: 3, q: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2 + (-4 + 3 + 4)*(-4 + 0 + 5))*(3*s + s + 0*s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 10:52 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -14dc0?\nAnswer: 14dbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 1.3. Let z = -0.4 + 0.1. Sort -0.4, l, z in decreasing order.\nAnswer: l, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-9)\/(-55) - ((-437)\/(-115) + -4).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16423927\/9 at most as big as -1824880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15931, -69034, -159311, -286762, -451387, -653186, -892159?\nAnswer: -1168306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((18\/176376)\/(9\/(-8))). Suppose -23*h = -26*h + r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 10*z - 18. Let t be (-2)\/9 + (-94)\/(-18). Sort t, z, -4 in ascending order.\nAnswer: -4, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, 9, 67, 153, 267, 409, 579?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5988 + -5a?\nAnswer: -5a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4\/4 - j**2\/2 - 4*j - 14. Let f be x(2). Solve c + c = -f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4339\/4 + -1010981\/932. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4534*t. Let q(d) = -8384*d - 3. Determine q(j(i)).\nAnswer: 38013056*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 59*u + 278. What is the hundreds digit of g(47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-1 - 3 + 3)*(-6*l + 13*l + 4*l).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/12 - c**5\/60 - c**4\/24 - c**3\/6 - 8*c**2. Determine t(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 15. Let t be -7*x\/42*-3. Solve t = -3*z + 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 385 in -1.1, 2, 0, -1.2, -9\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 3, a: 1, u: 2, f: 3, x: 2}. Give prob of picking 1 u and 2 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3777015 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**6 - 1019*r**4 - 2*r**3 + 2*r**2 - 7721*r.\nAnswer: -120*r**3 - 24456*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5 + 6. Suppose -5*p = -5*n - 20, 8*n - w*n = 4*p - 2. Solve v + 3*x = -p*v, -4*v + 2*x = 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*z - 19 = 0, 5*z - 7 = 5*n - 2. Suppose 0 = -5*c - 8*l + 5*l + 561003, -n*l + 448804 = 4*c. What is c rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (168*i**2 - 4*i**3 - 333*i**2 + 163*i**2)*(-1 - 1 + 0) to the form m*i**2 + d + x*i**3 + v*i and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8536056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*v = 25, -t + 2*v + 10 = -3*t. Put t, 4, 5, -5 in decreasing order.\nAnswer: 5, 4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4162 + 1.2662. What is the fourth biggest value in -3, 1, m, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2240 = 375*v - 292*v - 8446 - 683 for v.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25998 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.066.\nAnswer: -0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -156668*j + 4. Let v be 3\/(-4*2\/(-8)). Let k be w(v). Round k to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41352 by 990.\nAnswer: -6892\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18654868 and 20.\nAnswer: 93274340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/7 + 228*o**2 - 4826*o\/7 - 16020\/7 = 0. What is o?\nAnswer: -801, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291306 and 4888?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -230 - -462. Let j be -1*(-15)\/(-5)*-1 + 1. Let q be (0 - j) + -2 + 140\/4. Calculate the greatest common factor of p and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 99*q**2 + 4*q - 5*q - 110*q**2 as h*q + i + o*q**2 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0693 + -0.1693. Let o = 0.34 + -17.34. Which is the smallest value? (a) j (b) 0.5 (c) o (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-171)\/6)\/19)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnlrnnrndddnrnnnnln. What is prob of sequence dn?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 - -185.00000598. Round p to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/((u**(1\/10)*u)\/u*u)*u**(1\/2) assuming u is positive.\nAnswer: u**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -18*s + 20*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2056 (b) 0.5 (c) -207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 3}. What is prob of sequence hr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 412 - 2058\/5. Determine d, given that -w*d**2 + 0*d + 2\/5*d**4 + 1\/5*d**3 + 0 - 1\/5*d**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, 12, 267, 4.\nAnswer: -21, 4, 5, 12, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*k = 4, r - k + 5 = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 29. Let n be (-3)\/((-25)\/14 + m\/7). Solve n*t + 3*t = -20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007359968 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -548 divided by -5\nAnswer: 548\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 6\/10 - 96\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -3*i, 3 = 5*h + 4*i - 11. Suppose -5*o - 21 = 4*c - 5, -h*o + 12 = -3*c. Solve o*x + 3*x = 9, -5*k + 4*x = 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 8. Let d be i(8). Let p = 11 - d. What is the second derivative of 285*k**2 - 6*k**4 - 285*k**2 - p*k wrt k?\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v - 3. Let k(m) = -8*m - 7. Let x(b) = 7*b + 6. Let u(g) = 5*k(g) + 6*x(g). Determine -2*q(z) - 5*u(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 7*g = 6016. Let l = g + -362. Solve -l*n = -17*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*y**2 + 2*c**3*y - 2*c**3 - 3*c**2*y - 76*c*y**2 wrt y.\nAnswer: 6*c**3 - 152*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85619515.923 - -85916234. Let c = g + -296909. Let y = c + 191. Round y to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -5a7a405?\nAnswer: 5a7a3dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 401015245 + -4?\nAnswer: 401015241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 1. Let t(m) = -24*m + 5. Let g(o) = 6*p(o) - t(o). Determine g(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k - 1687*k**2 + 20*k + 21*k + 22*k + 1690*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 16*d + 15. Let i be ((-225)\/63 + (-4)\/(-7))*d. Suppose -3*l + i*l = 204. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 8*p - 14. Let g = p - -22. Solve 4*x = -3*b + 1 + g, b = -1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/(-28) - (-3)\/12. Is 1\/36 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*a + 2*v - 40, 0 = a + 4*v - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (4 + -8)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (5*33\/(-220))\/((-1)\/(-2))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - 2*c**4 - 2*c**3 - 15*c**3)*(-c + 4 - 5 - 4*c).\nAnswer: 10*c**5 + 87*c**4 + 17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 55*l**2 + 11*l - 18. What is the smallest common multiple of 192 and d(2)?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + (-4)\/(8\/(-10)))*1. Let a(h) be the third derivative of -1\/180*h**5 + 0*h - 2*h**2 + 0 - 2\/9*h**x + 1\/18*h**4. Factor a(j).\nAnswer: -(j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -13*g + 6. Let q = -25 + 27. Let w be 35\/(-11) - q\/(-11). What are the prime factors of v(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 2:37 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -74*s + 75*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 13*r - 7. What is the hundreds digit of o(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180117 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 64 = -8 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(320)*-2 + sqrt(5).\nAnswer: -15*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 1 + (-2 + 6 - 2)*(1 + 1 - 3) - 5 + 4 - 1)*(2*o + 3*o**3 - 2*o) to the form c*o + t*o**2 + m*o**3 + s and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154295.\nAnswer: 5, 30859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - 5*a**2 + 2*a**2 - a**2 + a**2 - 3*a**2 + (-3*a + 0*a + 5*a)*(0*a - a + 0*a) - a**2 - a**2 - 4*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 4 (c) -0.45 (d) -5 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 239 - 266. Let r(c) be the first derivative of 33*c**2 + 27*c + 2. Let y(o) = 5*o + 2. What is p*y(a) + 2*r(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 11*x**3 - 26*x**2 + 5*x**5 + 2*x**4 + 12*x - 7*x**5 + 3*x**3 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 556061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4 - 2*o**3 - 12*o**2 - 14*o - 5 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1294, 1297, 1302, 1309, 1318, 1329, 1342?\n\"Answer: j**2 + 1293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216669 or 2\/5?\nAnswer: 216669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8988228, 8988233, 8988242, 8988255, 8988272, 8988293?\n\"Answer: 2*i**2 - i + 8988227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-18))\/(1\/74). Let l = m + -35. Let c(k) = 2*k**2 + 3*k - 1. Give c(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 1869\/196 - (-5)\/((-260)\/(-13))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2140210 + 1?\nAnswer: -2140204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 559968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.12 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (895 - 429 - 466 + 4712*j - 26577*j)*(0 - 1 + 2) as i*j + o and give i.\nAnswer: -21865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/20*4 - (-6)\/3. Solve 0*f - s*f + 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*(-21)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*a - a. Let o = -12 - a. Put o, 4, 3 in increasing order.\nAnswer: o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 11. Let i(x) = -3*x - 13. Suppose -14 = 2*j - 4. Let c(n) = j*i(n) - 6*q(n). What is the derivative of c(m) wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 188, 494, 1410, 3140, 5888?\nAnswer: 9858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14086 or 3324249\/236?\nAnswer: 14086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456 - 13*q**3 - 915 - 19*q**2 - 9*q**2 + 456 + 28*q**2.\nAnswer: -13*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((1 - 4) + 2)\/(-1). Solve -u = l + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90521 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -3*15\/(-9). Let g(p) be the second derivative of 4\/15*p**6 - p + 13\/10*p**5 + 0 + 7\/3*p**b + p**2 + 5\/2*p**4. Factor g(m).\nAnswer: 2*(m + 1)**3*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1 + (-31 - -21 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 13 = -7. Let m(i) = -3 - i**2 + 5 + 2*i**2 + 3*i. Determine m(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 22. Let n be v(0). Let s be 1426\/22 + 4\/n. Suppose -4*u + 8 = -m + s, 3*m = -4*u + 123. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + j + 1. Let n(y) = -25*y**2 - 11*y - 153. Let q(d) = 6*d**2 + 3*d + 35. Let s(x) = -2*n(x) - 9*q(x). Give -s(u) - 6*z(u).\nAnswer: -2*u**2 - u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 14 + 9*o**3 + 13.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -139053, -139259, -139465, -139671, -139877, -140083?\n\"Answer: -206*y - 138847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 1, -6, -1, -627, 0.\nAnswer: -627, -8, -6, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -352 + 462. Sort 5, m, 4 in increasing order.\nAnswer: 4, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24792749 equal to -24792750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from slnxxgn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 198895559*-0.1\nAnswer: -19889555.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 2. Find the third derivative of s**6 + s**b - 3*s**6 - 6*s**2 wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 7*i - 16. Determine y(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97277, 97238, 97195, 97148, 97097, 97042, 96983?\nAnswer: 96920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21221212 (base 4) to base 9\nAnswer: -60187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133\/10 - -126\/5. Let h = 85479\/23576 - 2\/2947. What is the common denominator of l and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -109. Calculate the remainder when w is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + -4 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15041 - 296*f**2 + 15041)*((2 - 1 + 0)*(2*f + 0*f + 0*f) - 4668 + 4668 + 93*f) - f**3 - 4 + 4 in the form k + o*f**2 + h*f**3 + z*f and give h.\nAnswer: -28121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5*a - 19 = -49, -5*y + 6 = -3*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 130*b**3 - 36*b**3 + 3*b - 5*b.\nAnswer: 94*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3186923238?\nAnswer: 2, 3, 19, 3106163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14495, 28203, 41911, 55619?\nAnswer: 69327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1563 + 1000*f + 1563)*(3*f - 4*f + 0*f) + (-3*f + 2*f**2 + 3*f)*(3 - 2 - 3))*(-1 + 1 - 2*f) as a + d*f**3 + p*f**2 + r*f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 2*b**3 + 2*b**3)*(-24 + 18*b + 24).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 - 9*c - 7. Let o(z) = -z**2 - z + 1. Let k(n) = 2*o(n) - p(n). Suppose 0 = 5*u + 7 + 28. What is the units digit of k(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69290 - 1894831\nAnswer: -1825541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (47 + (-4 + 30 - 59) - (-63 - 0)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 168 = 5*d, d = -3*i + 5*i + 144. Let b = i - -223. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -945694, -1891106, -2836518, -3781930, -4727342, -5672754?\nAnswer: -6618166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 + 5*z**2 + 5*z - 2. Let q(t) = t**2 + t. What is -5*q(m) + r(m)?\nAnswer: 3*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.07, 4\/5 in descending order.\nAnswer: 4\/5, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 95*v**2 - v + 2. What is the remainder when p(1) is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1561 + 1559. Which is the nearest to 0.2? (a) -37 (b) -2\/11 (c) r (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -2. Let o be (-11617)\/(-20) - a\/6. Let u = o - 3023\/5. Calculate the common denominator of u and 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r - 6. Let i = 0.1 - -0.9. Let x = i + -2. What is the third smallest value in x, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4681 - 4676. Solve n*b - 5*x = -20, 5*b = 2*b + 4*x - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3762 or -0.4?\nAnswer: 3762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1548 rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3181, 6888, 10595?\n\"Answer: 3707*x - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196 + -132. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 8. Let g be h(-7). Suppose 0 = -c + g + 1. Factor 22*s**4 - 2*s**4 - 14*s**5 + 12*s**4 - 22*s**3 + 4*s**c.\nAnswer: -2*s**2*(s - 1)**2*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/90)\/(-2*(-3)\/630). Calculate the highest common factor of d and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 270 or 180340\/667?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31262 is divided by 18757.\nAnswer: 12505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 19*p**2 + 6*p + 28. Calculate h(-19).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 92*p - 173. Let q be r(44). Solve 4*g - q - 5 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z\/(z\/(z*z\/(z\/z**(-2\/15))*z))))\/z*z))**(-5)\/(z**15\/((z*z**(-6\/13))\/z)) assuming z is positive.\nAnswer: z**(-967\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -121*a**2 + 2*a + 2. Let d(n) = -1936*n**2 + 33*n + 33. Let r(u) = -4*d(u) + 66*m(u). Let s(o) = -768*o**2 + 1539*o**2 - 769*o**2. Determine r(s(f)).\nAnswer: -968*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17c0 - -1504?\nAnswer: 2cc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*-4*(sqrt(448) + -3))**2.\nAnswer: -768*sqrt(7) + 7316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*h**5 - 77*h**3 - 159*h**2 + 14159*h.\nAnswer: 340*h**3 - 462*h - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17 + 2)\/3)\/(685\/(-164877171)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13359 - 38922 = -3*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10735*g**3 + 60678*g?\nAnswer: -64410*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14053 and 5244.\nAnswer: 3204084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-6) + 1 + 1. Let z = 20 - 20.4. What is the second smallest value in 2\/15, z, g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49496 divided by 5\nAnswer: 49496\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - a + 341978 - 341977, 0 = 3*k - a - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 6 - 6)*(f - 3*f + 5*f) - 3*f**2 + 5*f**2 - f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13786)\/(-366) - 20\/30*7.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-505)\/15 - -3)*(-2)\/150. Let f = o - 2\/225. Which is the closest to f? (a) -4\/7 (b) -3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4078\/645 - -934\/215. Solve -34*p**2 - 2\/3*p**4 + 38\/3*p**3 - y + 98\/3*p = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 122020120 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: -9605 (base 10) to base 9\nAnswer: -14152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**2 - 500*q - 3267 wrt q.\nAnswer: -4*q - 500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27977 + 10575 = 226*j for j.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 22 = -5*v - 0, 3*v + r = -12. Let n = v + 5. Let d be n + -4 - (-18 + 11). Solve t - 12 = d*b - 4, 4*b + 6 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219004 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, r: 3}. Give prob of picking 3 r.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-15) - 1)*1. Let g = -3\/10 + b. Does -2 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4410 greater than -507193\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-5)\/10)\/((-4)\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 27\/43403 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3\/4 (c) -214\/409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -5 - 7 + 2*h**3 + 1. Let a(g) = -g. Give a(d(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*w**4 - 5933*w**3 - 418*w**2 + 2*w - 1.\nAnswer: 168*w - 35598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474676 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41552 and 3218516?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**(-24\/7)*(t**(1\/2))**0)**(-4\/5) assuming t is positive.\nAnswer: t**(-192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37310\/221)\/10 + 10\/85?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -21*v - 2. Let c(p) = 262*p**2. Give c(i(f)).\nAnswer: 115542*f**2 + 22008*f + 1048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -214.93535687 and -1.\nAnswer: -215.93535687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by 1748249\nAnswer: 81\/1748249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -0.1 (c) 4 (d) 4\/5 (e) 19.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 5*y + 11, -69*y + 2*j + 8 = -73*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, 0.4, 306, 5, 0.2?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -43466, -174073, -391744, -696473, -1088254?\n\"Answer: o**3 - 43538*o**2 + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 2*i + 3. Calculate the remainder when 9 is divided by r(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -523524531 (base 6) to base 11.\nAnswer: -51833a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z - 1000 = -108*z + 2*b, -b = -4 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*v**2 + 4*v**2 - 2*v**2 - 4*v - 2*v**2 wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:05 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 28 = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7352 = -2*w, -3*o = -7*w + 3*w - 22036. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 6. Let a be d(0). Let s be a\/9 + (-6)\/9. Suppose 2*k - k = s. Is 1\/4 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5959c7 (base 13) in base 12?\nAnswer: 86651b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, 0.8, -434, -2, 4 in increasing order.\nAnswer: -434, -2, 0, 0.2, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110387*o**2 - 594407*o wrt o.\nAnswer: -220774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + 99. Suppose -h - 5*t + 0*t = 18, 4*h - 3*t = 20. Let r be (-27)\/h*8\/(-6). Calculate the highest common divisor of r and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15113443 (base 7) to base 2\nAnswer: 101011101101010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 5:36 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -11 + -14 + 26 + -2 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/y**(-2\/31))*y\/(y**(-15)*y))\/((y\/((y\/(y*y\/((y\/(y*y**(-11)))\/y)*y*y)*y*y)\/y))\/y**(2\/43)))**6 assuming y is positive.\nAnswer: y**(167814\/1333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 - i**2 + 2*i**3 + 8*i**2 - 8 - i**3 - 2*i. Let c be m(-10). What is the greatest common divisor of c and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -435. Let a(c) = -c**3 + 32*c**2 + 8*c - 247. Let t be a(32). What is the greatest common factor of t and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(7 + 2698\/(-386)). Is o bigger than 193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*l = 27, 2*w - 5 - 16 = 3*l. Suppose -4*s - 4*h + 8 = -56, 5*s - 76 = -4*h. Let d = w + s. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -153, -1, -4 in descending order.\nAnswer: -1, -4, -5, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 4103*n**7\/42 - 53*n**3\/6 - 25*n**2\/2 - 4*n - 847. What is the second derivative of k(a) wrt a?\nAnswer: 82060*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149337751\/5699876 - -41\/109613. Let c = g - 316\/13. Let u = 2044 - 32651\/16. Calculate the common denominator of c and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*b - 543 + 193. Let s = -2 + 5. Suppose 0 = -4*u + 3*n + 12, 0 = s*u - 2*u - 4*n - 16. Solve 2*x + b = -i, -9 = -u*i - i + 2*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p**2 + 188*p + 20 = 0. Calculate p.\nAnswer: -2\/19, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -0.5 (c) -0.1 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*u - 40 = 549*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/(1\/2). Let i(v) = -v + 6*v - 4*v + 1. What is the least common multiple of i(s) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1974 - -1971. Sort r, -8, 2 in increasing order.\nAnswer: -8, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*s**4 + 114*s**3 + 73*s**2\/3 + 4*s\/3.\nAnswer: s*(s + 4)*(9*s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 8 (c) -0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309*b**3 + 193*b + 1608454 - b**5 + 0*b**5 - 1608455 wrt b?\nAnswer: -20*b**3 - 1854*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 0 = 2*d - 1, 5*d + 2 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 446603814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 100, 233, 394, 583, 800?\n\"Answer: 14*l**2 + 91*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1244 - -1244.3. What is the smallest value in t, -234, 5\/3?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*l + 128*l - 2850 = 0. What is the greatest common factor of 225 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b + 1. Let w(y) = y - 1. Let a(j) = o(j) + 5*w(j). Let s(k) = -2. Let l = -38 - -36. Calculate l*a(h) + 5*s(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280332.\nAnswer: 2, 3, 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 - (2240\/(-175) - (-8)\/10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7333682836994 + f**2 + 7333682836994.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m + 4. Let q be h(1). What is the units digit of (-466)\/6*(13 - 10)*q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/7, -5.6, 716, -14, -3, -4, 1\/6?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 + -146. Let l(u) = 2*u - 6. Let t be l(5). Let f be 2\/10 + t + -4. Which is the nearest to 0.1? (a) f (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 552*b*d**2 + 2*b*d*l**2*v**2 - 3*b*d*l**2*v + b*l**2*v**2 - 2*d**2*l**2*v**2 - 9*v**2 wrt d?\nAnswer: 1104*b - 4*l**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z + 34. Let a = -8 + z. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552\/(-42) - -13 - 10\/(-21)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -7 (c) -5 (d) 4 (e) -93\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000168662 to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**7\/252 - y**6\/360 - 4*y**4 + y**3\/2 + 127*y. Let d(g) be the third derivative of f(g). Let i(r) = r**2. What is d(i(s))?\nAnswer: -10*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 + 3*a**2 - 2*a**2)*(2 + 0*a**2 - 3*a**2 + 0*a**2).\nAnswer: -21*a**4 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*n - 3*n. Suppose -5*s + 228 = -s - 5*y, -2*s + 88 = 4*y. Calculate the remainder when s is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 153 + 241365?\nAnswer: 241528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 22 + (7 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 10*v**2 - 11*v + 5. Suppose 20 = 2*x - 46. Suppose -7*y = -10*y - x. Let t be p(y). Solve -2*w = 3*z - 4 - 4, 7 = t*z - 3*w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 2*j. Is 2\/25 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/60*357\/(-238).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1830 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362 (base 9) in base 7?\nAnswer: 2666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlhlhhwlhlwlwwlhhhhh. What is prob of sequence llhh?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 3 - 3 + (2 - 4 + 14)*(4 - 4 + 2*i))*(-6*i + i + 4*i)*(i - 1 + 1).\nAnswer: -27*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 9, j: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 1 - 6. Suppose 2*h - 5*z = -105, -2*z = d*h - 7*z + 285. Let c be 6450\/(1 - (-51)\/h). What is c rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 645 = -z. What is the tens digit of ((-6)\/(-27))\/(-2)*-6*z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/5))**(-32)\/((w**(2\/9)\/w*w*w*w*w)\/((w**(2\/21)\/w)\/w)))\/(w**3\/(w**(-3\/5)\/w))**(-1\/68) assuming w is positive.\nAnswer: w**(-103927\/4284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3700, -15137, -34384, -61441?\nAnswer: -96308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 545329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -3. Let b = 39.0092 - l. Round b to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - -6.97. Let l = -6.9 + i. Which is the nearest to l? (a) -3\/8 (b) -2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: What is 1903 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(3 + -6)*0. Suppose -7*t - 7*t - 2436 = k. Which is the second smallest value? (a) 2\/7 (b) t (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1527\/143824 - 1\/1616. Is -10 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 10 - 20 + d**2.\nAnswer: d**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-4))\/(3*4\/48). Let o be 4\/22 - (-852)\/33. Solve 13 = -2*v - 2*a + i, o = -5*v + a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12993 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10100022 + 10?\nAnswer: -10100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 2*k**2 + 0 - 13*k - 3*k**3 - 5 + 17*k to the form x*k**3 + d + p*k**2 + h*k and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 4166*o**4 + 2*o**2 + 0 + 14 + o**3 - 2*o as f + j*o + k*o**4 + y*o**3 + g*o**2 and give k.\nAnswer: -4166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, p: 2}. Give prob of sequence gg.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.099224 tonnes?\nAnswer: 99224000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 smaller than 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1)*2*1. Let o(a) = -5*a + 2*a - y*a - 4*a**2 - 2. Let h be 5*(2 + -4)\/(-2). Let u(f) = 3*f**2 + 4*f + 2. Give h*u(j) + 4*o(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-300)*(-6)\/((-48)\/(-460))?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2754 is divided by 849?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 581 - -619. Let p = d - -24. Suppose 13*s = -4*s + p. 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: Let r = 26519 + -15386. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 * 22.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - j**2 - 3*j + 1. Give k(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -415839 + 10012987283\/24079. Does k = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 488*f - 959*f + 473*f - 53*f**2 - 2 to l*f**2 + s + j*f and give l.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 - 1398*d + 635*d + 768*d + 36 = 0. Calculate d.\nAnswer: -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m - 15. Let z be g(-2). Suppose -6*j + 27 = -z*j. Calculate the remainder when 61 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/((-6)\/9 + 0). Let n be ((-44)\/(-2))\/(j\/4). Find the third derivative of -d**4 + n*d**2 - 83*d**2 - d + d wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, j: 2, a: 1, i: 6}. What is prob of picking 2 i, 1 a, and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 25*d + 41 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/2, -975, -1\/4?\nAnswer: -975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 45*y - 1067. Let x be u(17). Let k(a) = -461*a**3 + a**2 - a + 1. Let h be k(1). Let w = x - h. List the prime factors of w.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoozooo. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 19. Suppose -2 = -z, s*z + 10 = 4*t - 18. Suppose 2*x = -x + t. Solve 9*h = 2*b + 4*h - 15, -x*b + 10 = -5*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*k**2 - 2*k**4 + 10*k**2 - 13*k + 2*k - 21*k - 24*k to z*k**4 + y + a*k**3 + w*k + v*k**2 and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 137214 divided by 693\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*a + 7583*a + 17347 = -158102 - 136455 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1675458750.58000751 + 1675457086.58. Let s = 1664 + b. What is s rounded to 7 dps?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a**2*j + 1129637*a**2 - 22526243*j wrt a.\nAnswer: 12*a*j + 2259274*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 469 + -490 + 9 + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 + 4*o**2 + 9*o + 298. Let w be (8\/10)\/((-1)\/(-10)). Is 19 a factor of z(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 70*r = 0. Let l(k) be the second derivative of -9*k + 0*k**2 + 0*k**3 + 0*k**5 + k**4 - 3\/10*k**6 + r. Find the third derivative of l(j) wrt j.\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h - 215*h = 52*h + 69*h - 7800 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 15049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3795533690 to the nearest one hundred thousand.\nAnswer: -3795500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = -7*o + 39115 - 11395. What are the prime factors of o?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 23*v - 4*v + v.\nAnswer: 2*v**2 - 26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q. Let g(v) = v**3 - v - 1. Let m(c) = -5*c**3 + 6*c + 4. Let n(x) = 6*g(x) + m(x). Let r(w) be the first derivative of n(w). What is r(o(b))?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1349edb - 4a?\nAnswer: -134a036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -0.5, 432, -5, 2, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2474*z + 3095*z - 1 + 1062*z)*(3*z - 3*z - 2*z**2) in the form m*z + r + d*z**2 + a*z**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffkf. Give prob of sequence kfk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.045 * 487\nAnswer: -21.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -36*d**2 + 111*d + 2. Let a(y) = 47*y**2 - 112*y - 2. Give 4*a(q) + 5*j(q).\nAnswer: 8*q**2 + 107*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 310 + 173 = -162, 16 - 2 = -4*w + l - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-29 - (2 + 3 - (-4 + 2))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + ((-30)\/240)\/((-4)\/312)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n - 8. What is the smallest common multiple of 20 and t(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*g**4*n + 27*g**4 + 4*g**3*n + 3893*g**2*n + 4*g**2 wrt g?\nAnswer: -864*g*n + 648*g + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 c when three letters picked without replacement from {c: 2, o: 4}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2 + 2*r + 1. Suppose 5*x - 18 = -x. Let k(g) = g + 1. Determine x*v(m) - 6*k(m).\nAnswer: 18*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 5:25 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9942552 by 153.\nAnswer: 64984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 94\/18 - 8\/36. Suppose -3*j = -4*b + 8, -3*j = 2*b - 4*j - 2. Let f = b + z. Solve 2*r = f*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*t - 49691 = 133*t + 255*t - 13853 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/(-1248) + (-7172)\/78 + -5. Let v be 2324\/(-24) - 3\/18. Is v smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1690 divided by 65\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 147 times -0.3\nAnswer: -44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 347?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q*s**5 + 179672*q*s**3 - 6925*q*s**2 + q*s + 14*q + 2*s**2 wrt s?\nAnswer: 60*q*s**2 + 1078032*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 10*q + 11. Let b be w(-9). Suppose -4*v + 132 = -b*v. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/91305062 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 8*p**2 - 4*p + 7. Let u be ((-1)\/1 - 0)*1. Let z = u - -16. What is the remainder when l(7) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2020987 is divided by 2020965.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-10))\/((-12)\/(-30)). Suppose 1 + f = l. Let w(k) = -k**3 - 4*k**2 + 5*k + 2. What is the remainder when l is divided by w(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 63\/5. Let q = -2.8 - -3. Let s = -1\/187 - -565\/748. What is the closest to q in 0, t, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**2 - 10*f**2 - 6*f**2 + f**2 - 12*f**2. Let m(v) = -2*v. Determine x(m(j)).\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (7\/6)\/(83\/(-498))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*n**3 + k*n*y - 133*k*y + 2*n**3*y - n**2*y - 4*y with respect to k.\nAnswer: -2*n**3 + n*y - 133*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (230\/(-1104))\/(((-1957)\/76)\/103)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 + 15 = 0. Put a, -8, 2, 0 in decreasing order.\nAnswer: 2, 0, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431192.\nAnswer: 2, 53899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5 + 3. Let l be (1 + o)*(-4)\/8. What is the units digit of (l - -1) + (-56)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than -1.2837?\nAnswer: -1.8837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d + 1278. Suppose -4*x = 2*p - 1694, 0 = -2951*x + 2954*x - 2*p - 1288. Is d at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6691 - -6690.1. Let s = 6 - 5. Which is the nearest to s? (a) 1 (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 19*i + 7 + 258*i**3 + 258*i**3 - 2*i**2 - 517*i**3 in the form q + x*i**2 + n*i + p*i**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606888\/160*4 + 5\/(-25)?\nAnswer: 2, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 7*l. Suppose 6*h - 5*h = l. Let g(p) = p**2 + 4. Give g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yny when three letters picked without replacement from {c: 1, n: 6, u: 5, y: 2, d: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgma when four letters picked without replacement from mjtamjjmjgtjdajjj.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1849 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 8:54 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*m*r*t + d*m*r - 3*d*m - d*t + 16*d - m*r*t + 60*m*r with respect to r.\nAnswer: -2*d*m*t + d*m - m*t + 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1071*-0.3.\nAnswer: -321.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 6:40 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12034*k + 2805 = 5959*k + 5990*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 6*s - 12. Is r(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1369 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + 58 + 61 + -10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11997800 and 216.\nAnswer: 323940600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 146.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b + 7. Calculate the highest common factor of 18 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1738469)\/3 - (-10)\/15. Let u(r) = -18883*r**2 + 6*r - 20. Let k be u(9). Let i = k - n. What is i rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2 + 4617278*n - 5329814032321 = 0.\nAnswer: 2308639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3038, -3031, -3024?\n\"Answer: 7*k - 3045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose -697 = -5*x - f*i + i, 4*i = -x + 147. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = c. What is the units digit of (-522)\/3*(-2)\/(-9)*c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1595978 to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1184 and 768608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r. Suppose -6*c - 13 = -7*c. Let j(z) = -9*z - c*z + 16*z. Give j(x(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5 - 5 - 161*f + 2 + 159*f. Suppose -5*m + 0*m + 3 = 4*s, -3*s = 5*m - 1. Let d be (3 - 5)*1*s. Let p(i) = -5*i + 4. What is d*p(j) + 9*t(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 0.45 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*b - 40 = 0, -103*k + 27 = -109*k + 5*b - 28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32118 = 7*p - 44*p + 67079. Does 48 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*j + 9. Suppose 0 = -5*u + 5*k + 40, 0 = j*u - u + 5*k + 22. Find the common denominator of 49\/8 and 9\/u - (-93)\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3 - -8)\/(-10))\/((-1)\/6). Suppose -45 = -18*c + k*c. Solve 0 = c*b - 0*b + x + 12, 2*x = -b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -359, -1\/6, -1\/2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 7*i = 4*c - 894, -12 = -4*i. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**4\/12 - 2*b**3 - 179*b**2. What is t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/((a\/(a\/(a*a*a*a**(-1\/14)*a)))\/a)*a)*(a\/a**(4\/3))\/a)\/(a*a*a**(-12)\/a*a*a*a**13\/a) assuming a is positive.\nAnswer: a**(-143\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 334 and 435202?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**5\/l))\/(l\/(l*l**(1\/3))))\/(l\/((l\/(l**(-7\/4)\/l))\/l)*l*l*l**(1\/8)))**(3\/13) assuming l is positive.\nAnswer: l**(-97\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2822.\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7051 - 0.1651. What is i rounded to 2 dps?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 9. Let v be (-28)\/(-49) + 143\/7. Suppose 4*b - 42 = -3*y, 3*b + 0*b = 3*y + v. Let a(q) = 2. Determine b*a(s) - 2*w(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 517 and 26211713.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -44*j**5 - 17108*j**4 - 856032*j**3 - 651808*j**2 + 1831232*j - 306240 = 0.\nAnswer: -330, -58, -2, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 323639132 divided by 4\nAnswer: 80909783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.3 + -40.5. Let s = -36 - o. What is s rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36\/13 - -121\/39. What is the fourth smallest value in 0.3, x, -4\/7, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15476.96 - -14982. Let z = m + 495. Let s = 2\/167 + -348\/1169. What is the closest to -0.1 in z, -4, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**4 - 5715239*b**3 + 9*b**2 + 228029 wrt b?\nAnswer: 72*b - 34291434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156544162016 - -3?\nAnswer: 156544162022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 1055552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62485395?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 813.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1350430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32089*b + 32089*b - 228*b**2.\nAnswer: -228*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -36) + (-524 - -504).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 5*m - 33, 87*m + 10 = 2*f + 83*m for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19417271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 7*z + 3. Let f be 2 + -12 - (-1 - 1). Let v be a(f). Let y(t) = 6*t + 5. Let q(p) = -7*p - 6. What is v*y(c) - 4*q(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vxvvvvvv?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 22 + 12)*((-1 - 3 + 2)*(-y + 1 - 1) + 1 + 3*y - 1).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -90. Let o = 5512304455.00000046 - 5512304502. Let t = o + x. Round t to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 8*u**2 + 3*u - 5. Give s(9).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1. Let d(c) = c - 3. Let p = 42 + -44. Calculate p*s(r) - d(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - t**3 + 107*t**2 - 7*t + 5 + 97*t**2 - 210*t**2. Determine z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 40*l**4 - 25*l**4 - 22*l**4 + 3 - 3 - 3*l**4 + (0 + 0 - 2)*(4*l**4 + 2*l**4 - 4*l**4) to v*l**4 + f*l**2 + g*l + d*l**3 + n and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14480 and 80.\nAnswer: 14480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 105 = 6*m, i + i = -5*m - 5609 + 5705 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294112782 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**4 - 435*s**3 + 4015*s**2 - 12885*s + 13860 = 0?\nAnswer: 3, 4, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 less than -3471754?\nAnswer: -3471753.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 7)*5 - (6 + -41 + -2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28256 - 28256 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - -2.02. Let a = 1.1 + -0.1. Let k = -1.5 + a. What is the biggest value in -3, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2031.5008?\nAnswer: 8126.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 3, -4, -7, -42?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -337273811 - -0.14\nAnswer: -337273810.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -12*c**5\/5 - c - 9. Differentiate o(r) wrt r.\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3252 is divided by 1071.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -49, -89, -153, -247, -377, -549, -769?\n\"Answer: -a**3 - 3*a**2 - 6*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (0 + (4 - (4 - 6)) + -7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 6*l - 10. Let p be c(6). Let m be ((-5)\/p)\/((-3)\/(-12)). Solve -3*f + 0*i - 4*i = 35, -m*i = 2*f + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express m - m - m + (4 + 0 - 2)*(2*m + 0*m - 4*m) + 2 - 2 - 2*m - m - m + m + 0*m - 3*m + 5*m + 5*m + m + m as f*m + v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2*q = -8 - 4, -44 = 13*g - 2*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 5*u**4\/12 + 8*u. Let j(b) = -b + 3. Let t(m) = -3*m + 8. Let f(l) = 8*j(l) - 3*t(l). Calculate z(f(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 1362522?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 - -187. Calculate the greatest common factor of 22 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/2)\/(1\/(-39)). Let i(h) = 24*h. Let f be i(-1). Let u = j - f. Find the common denominator of u and -83\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*z**5 - 78*z**5 + 28*z**5 + (0*z + 4*z - 5*z)*(6*z**4 - 2*z**4 - z**4) - 2*z**5 + 2*z**5 - z**5.\nAnswer: -73*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 105321045 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*n - 98*n = -4*s + 40372, 3*s - 30293 = -4*n. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4\/2 - 3*c**2\/2 - 19*c - 6524. Calculate j(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i - 4. Let b(m) = 8*m + 3. Let h(g) = -7*b(g) - 6*s(g). Determine h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2\/3 - 8012528*q\/3 + 8025075618848\/3 = 0.\nAnswer: 2003132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 33044*r**2 + 621*r - 621. What is the thousands digit of q(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 + 277*r**2 + 187*r - 100. What is m(93)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from zzbbzbb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280087 is divided by 446.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.46 in -22, -5, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8288285 and 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5526 and 1323.\nAnswer: 7310898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4596405\/(10 - 5) - (-2)\/(-1). Suppose -5*l = 0, -l - 4164279 + b = 5*z. What is z rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9704890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 6:51 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 3*z**3 + z - 99*z**2 + 99*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*k = -850*k - 18*k - 3236 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29405935 and 69745?\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-1 - 23)) + 10 + -7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (0 + -4)) + 107. Let p = y + -109. Is 8 a factor of (8\/p)\/(3 - 122\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 210*p**2 + 2744*p + 4. Let y be u(-196). Suppose 0 = -2*f - f. What is the third smallest value in -2\/3, -3, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13133 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*h - 4. Suppose 4*t + h*y - 20 = 0, -y - 25 = -2*t - 3*t. What is the second derivative of 71*z**3 - 71*z**3 + 7*z**t - 6*z wrt z?\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 + 0 = 0. Let y(k) be the first derivative of -k**4\/4 + k**3 + k**2 - 2*k + 9. Is y(m) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*d + 0 = -4, -2*d - 20 = -2*o. Let m(c) = 455001*c**2 - 7*c + 6. Let s be m(o). Suppose s = 3*b + 3*b. Round b to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-16))\/(6435\/5720)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/(36\/120).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -636*w + 24790. Give f(39).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 4*p**2 + 2*p - 4. Let x be z(4). Solve 4*f - 5 = -5*c, f + x*c - 20 = -c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -4.3. Let d = y + -4. Sort 2, d, -3 in increasing order.\nAnswer: -3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 8\/9. Let y = t + 13\/45. Let f = -16.9 - -17. What is the nearest to y in -2\/5, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*h + 185 = 0, 6*h - 8 = 2*h. Let v = -28 + x. Suppose j - v = 26. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 + 5*d + 8. Is v(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1223 + 0.15.\nAnswer: 1223.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/13, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2356 - 4.2356. Let n be (-4)\/70*4*10\/24. Which is the biggest value? (a) n (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + 5*(sqrt(567) + -1*sqrt(567) + 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 - 31*v**2 + 64*v + 1. What is c(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545, 608, 681, 740, 761?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nanoafnafaaaaoaa. What is prob of picking 2 f?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 12:46 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2180*f + 1 + 28193*f - 3804*f.\nAnswer: 26569*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/18 - (-24308)\/25956.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62551128, 62551124, 62551118, 62551110, 62551100?\nAnswer: 62551088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -69*r - 347. What is the lowest common multiple of g(-6) and 45?\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11794253, -23588504, -35382755, -47177006?\n\"Answer: -11794251*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/140 + 6\/(-5) - 36\/(-108).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115714 - -115712. Let j(z) = 3*z + 4. Let c be j(-3). Sort -1, q, c, 4 in decreasing order.\nAnswer: 4, -1, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h**2 + 2665*h - 29665. Calculate m(11).\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 7*y = 2040. Let b = y - -19. What is the greatest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(50) - sqrt(800)) + sqrt(50) + sqrt(2))*3.\nAnswer: -27*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-6))**5*r*r**(-21)*r*r**(-1\/7))**(-1\/60) assuming r is positive.\nAnswer: r**(103\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*z, 0*p + 2*p + 6 = 4*z. Factor 2*o**4 + 539*o**3 + z + 2*o**2 - 6*o**2 - 539*o**3.\nAnswer: 2*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Let d = 329 + -328. Which is the second biggest value? (a) -0.1 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*n + n. Suppose -3*q + 2*h + h = -30, 0 = -q - 2*h - n. Suppose -q*o + 98 = o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/21))**(-2\/17)\/(b**(-9\/4)\/(((b**15*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(23237\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 7*s + 16 = -3*s, 2*i = 5*s - 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 25*p - 45. Give n(-25).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4)*1)\/((-155)\/(-62)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-70)\/15)\/14 - 178\/6. Let w be (-6)\/k*0 + 10. Solve 0 = -n + 2*b + w, n + 3*b - 11 = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -370225653*f**3 + 279955095.\nAnswer: -1110676959*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4857523107212178*a**2 + 394259736*a - 8 = 0. What is a?\nAnswer: 2\/49282467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -12987*u. Let q(k) = -2*k**2 + 45*k. Give d(q(w)).\nAnswer: 25974*w**2 - 584415*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*p + 6645 = -21*p + 272 - 6271 for p.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 905.9761mm to kilometers.\nAnswer: 0.0009059761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3616 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-18) + (-16)\/6. Suppose 5 - 15 = -2*l. Sort -2, l, t in ascending order.\nAnswer: t, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6983 + 7031. Solve 43*l = p*l - 35 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192963859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 980*u = -371*u + 22967 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 5 (c) -0.56 (d) 0.1 (e) 0.0316\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (94 + 65 - 0) + -54?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1486\/(-12) - ((-31)\/((-1116)\/(-282)) - -8).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 86765.25l?\nAnswer: 86765250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -201200?\nAnswer: 202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 144.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83526984 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 368957 = -r, -4099*r + 28 = -4103*r. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 242293687 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 1:14 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from hjhhchcnhhjjhhnhjhh.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-747)\/(-166))\/(((-4)\/(-10))\/(2\/5))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 429 + -121. Suppose n + 295 = 9*x. What are the prime factors of x?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13950.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*r + 4*v, -4*r - 4*v = -7*r - 16. Solve r = -2*w - 5*s - 16, 4*w - s - 7 = 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/56*35\/15)\/((-4)\/(-3))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-4)*(-175)\/(-100). Sort -5, -23, p in decreasing order.\nAnswer: -5, p, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:17 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74244.9 or -1?\nAnswer: 74244.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxpw when four letters picked without replacement from {i: 1, w: 5, p: 5, x: 4}.\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2907*i = 2790*i - 3510 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:11 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cjppcpqppsqajcppp?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) 1\/12 (c) -174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -2 + (-1611)\/(-12). Let o = 135 - g. Which is the third biggest value? (a) o (b) -3 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/131208 and 139\/59640.\nAnswer: 656040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 5*n - 51, 6*n - 3*f = n - 3. Solve -5*y + 5*z = -2 - 33, -4*z = n*y + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.94 + -0.06. Let t = 1 + -5. What is the nearest to t in k, -0.3, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 + 20*t + 17. Let n(i) = -55*i**2 - 4 - 3 + 103*i**2 - 53*i**2 - 2 - 11*i. Let f(o) = 5*n(o) + 3*u(o). Calculate f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 3*s + 1. Is (4 + 60\/(-25))\/((-2)\/s) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 1833.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 3) + (0 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*d - 10008 + 10008)*(-2 + 2 + 2*d**3) + (2*d**4 + 5*d**2 - 5*d**2)*(1 + 0 - 2)*(0 + 2 - 1).\nAnswer: 186*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/126*897\/46.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*v + 457, 243 - 54 = 2*g + 5*v. Suppose 4*p = 3*p + g. Suppose k + 119 = 5*w + 5*k, -4*w - 4*k = -p. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 8*j**2 + 8*j - 1. Let d be a(-7). Let x be 3\/(2 + d)*-2. Let k be (x + -4)\/(-3 + 2). Solve -4*v - 27 = -3*s + v, k*v + 13 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90289a (base 11) in base 12?\nAnswer: 5a0b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11224669, 11224717, 11224763, 11224807?\n\"Answer: -f**2 + 51*f + 11224619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9*k**2 - 15*k - 565. Let z(v) = -12*v**2 - 20*v - 777. Let c(o) = -11*j(o) + 8*z(o). Let r(h) = h. Calculate -c(b) + 5*r(b).\nAnswer: -3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -2, 1\/2, -1\/2 in decreasing order.\nAnswer: 1\/2, -1\/2, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4)*a*a)**(-25\/2)\/(a**1)**(-16))**(-20\/3) assuming a is positive.\nAnswer: a**(485\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*d**2 + 11*d + 3*d - 502*d**2 - 12*d + 2*d - 1 wrt d.\nAnswer: -650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1944 (base 13) to base 2.\nAnswer: -111010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 5096345.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 51. Sort -2\/7, 4, 0.3, w in increasing order.\nAnswer: w, -2\/7, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105336 (base 8) in base 12?\nAnswer: -186a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/10*0 + -2. What is the third biggest value in -2\/11, -7, a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*p*s**3*y + 3*p*s**3 + 7909*p*s**2*y - 9*p - 2910 with respect to y.\nAnswer: -49*p*s**3 + 7909*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2, -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + 0 + 5.\nAnswer: 5 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10248 divided by -6?\nAnswer: -1708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*k + 39 = 3*j, -3*j + 2*k + 66 = 0. Let d = j - 19. Let n = 31 + d. Calculate the greatest common divisor of 90 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1343329, 2686631, 4029933, 5373235, 6716537, 8059839?\nAnswer: 9403141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 105 = 0. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/15)\/((g*g\/g**(-1\/9))\/g))\/((g*g**20)\/((g*g\/(g**(-37)\/g))\/g)) assuming g is positive.\nAnswer: g**(763\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 31*i - 60 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 24 = -2*k + 2*q, 44 = -4*k - q. Let a be 275\/k + (-2)\/4. Let h = a - -27. Put -10, h, 5 in descending order.\nAnswer: 5, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 12*h - 27. Let g be t(-4). Suppose 3*n - 17 + 10 = -q, 5*n - g = 0. Solve w - 12 + q = -r, 5*w + 10 = 5*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.8 - 52. What is the fourth biggest value in -2, b, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7563118 and -0.3.\nAnswer: 2268935.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 14 - 0 - (-1 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 8. Let d(n) = -n - 2. Let u be d(s). What is the remainder when 11 is divided by u + (-5)\/(-1) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 820, 45?\nAnswer: 820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -3)*-2*2*4)**2 + 4 + 0.\nAnswer: -16896*sqrt(13) + 404996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*t + 16, 3*z - 178 = -t - 182. Solve z = -3*p + h + h - 19, p = 2*h - 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 119*p**3 - 7*p - 6. Let o be w(-1). Sort -1, 5, o in decreasing order.\nAnswer: 5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 62\/4 + 0\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210 (base 3) in base 13?\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -42.1855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13277582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -2. Let k be (-34)\/v - (-4)\/10. Let g = 83 + -83.1. Which is the nearest to g? (a) k (b) -0.3 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-740)\/(-3)*(945\/6)\/(-7). Let m = -3643 - z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -2*q**4\/3 - 55*q - 2. Let d(f) = 14*f**2 - 11*f. Let r(v) = -5*v**2 + 4*v. Let m(a) = -4*d(a) - 11*r(a). Calculate m(s(x)).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 368 = -4252. What is the units digit of 90\/(1 - 5 - j\/100)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -233? (a) -5\/4 (b) 0.06 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*p**5 - 879*p + 20*p**3 - 31*p**5 - 43*p**3 + 20*p**3 wrt p.\nAnswer: 2540*p**3 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*g = -7*g + 896, 2*d - 1847 = 3*g. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -13*m + 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -12*h - 12*h. Suppose -2*f + 300 = -h*f. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19205 divided by -175.\nAnswer: 3841\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/3 + 1933336*q**2 - 9666694*q + 23200072\/3 = 0.\nAnswer: -2900009, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1114668 = 128*h + 375084. Is h a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 28 = 3*z, -4*z = l - 3*z - 8. Suppose 0 = 4*b + 3*a - 40, -5*a + 50 = b + l*b. Let q = 29 - b. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 + 17*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**2 + 440*h - 128. Calculate the remainder when r(-65) is divided by 824.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-8) - 549731\/(-26) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - r + 5 = -6 + 3, 85*u + 33 = 5*r + 88 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 15275*n**3 - 2*n**2 + 4*n - 8. Let f be x(2). Let i = 54292 - f. What is i rounded to the nearest 1000?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 + 192. Let q(k) = k**2. What is q(i(a))?\nAnswer: 9*a**4 - 1152*a**2 + 36864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*i**3 + 104*i**3 + 130*i**3 - 26*i + 83*i**3 wrt i?\nAnswer: 2142*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -268 divided by 4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 26 = -3*m, -4*j = -4*m - 11 + 19. Is m at least as big as -240\/467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(95)\/(sqrt(5) - (-1*sqrt(5)*1 + sqrt(5))))**2.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:45 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6\/((-6)\/(-1))*83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*q + 268, -k + 2*q = -2*q - 95. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:02 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 966\/(-1495) - -2*1\/(-13). What is the third biggest value in -0.3, 0.15, p, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -1\/24*l**4 + 0 - 158*l**2 - 7\/6*l**3 + 0*l. Determine o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*b**2 - 7*b**2 + 5 - 14*b - 3 + 14*b.\nAnswer: -61*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 15*p - 15*p + 3*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2237168 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(2\/(-24)). Let r(n) = 4*n**2 + 18*n - 9. Let u be r(-5). Let l(v) = -70*v - 69*v - u + 213*v - 75*v. Calculate l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -18, 315, 5, -2, 10 in decreasing order.\nAnswer: 315, 10, 5, 4, 2, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s = -16 - 159 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/252*8*(-21)\/2. Let v(q) = -3*q**3 + 3*q**2 + 3*q + 7. Let w(s) = 3*s**3 - 4*s**2 - 4*s - 8. Give t*w(b) + 4*v(b).\nAnswer: -3*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o - 5. Let l(q) = 11*q - 4. Let z(b) = -4*k(b) + 5*l(b). Suppose -6*m - 2*s + 4 = -m, -3*m = s - 3. Let f(r) = 26 - 26 - m*r. Give f(z(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -8*g - 3*q + 175, 2*q + 6 = 0. Let t = g - 23. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 274\/(-4) + 106\/((-14204)\/(-469))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 337 + -307. Calculate the remainder when 357 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x + 4*v - 11, 5*v = 2*x - 11. Let z = -316581 - -949744\/3. Suppose -5\/3*u**2 + 4\/3*u**x + 2\/3*u - z*u**4 + 0 = 0. What is u?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-2)\/4) - 10. Let x = s + 21. Suppose 5*k - 2*c = 130, -3*k - 3*c + 0*c + 78 = 0. What is the remainder when k is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152 or 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 21*p**2. Let o(f) = -f + 262 - 262. What is w(o(j))?\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or -404?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/2 - 9*o**4\/2 + 31*o**3\/2 - 51*o**2\/2 + 20*o - 6 = 0. Calculate o.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -7*x**5\/12 + x**4\/12 + x**3 + 3*x**2 + x. What is the second derivative of t(w) wrt w?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/197, 0.1, -3, 4.4 in descending order.\nAnswer: 4.4, 0.1, 1\/197, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*r - 12 = 49*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4842 = -5*g, 3*p + 0*p + 5*g - 4842 = 0. Let d = 4348 - 1784. Let x = p - d. Round x to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = n + 8. Let x be n*(-4 - (0 - 2)). Solve -3*w - 5*i + 4*i = -7, 3*w - x = -2*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uubb when four letters picked without replacement from uuubuububuuuubbubuu.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 9*o**2 + o + 17. Let x be t(-9). Is 0.3 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4100023103 - 1112?\nAnswer: 4100021441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 7. Let h be l(-4). Let m be 1*h*(-1)\/1. Sort m, -3, -2 in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 57472.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 18. Let m be ((-15)\/(-2))\/((-6)\/12). Let b be x(m). Let l(j) = 4*j - 1. Give l(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**4 + 2*g**3 + 47*g**2 - 2*g + 233. Let u(y) = -y**3 - 3*y**2 + y + 1. Let w(p) = -2*u(p) - x(p). Differentiate w(t) wrt t.\nAnswer: -16*t**3 - 82*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*x - 5*f, -3*x + 3*f + 0 = -3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909951743.\nAnswer: 19, 47892197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*p - 89*p**3 - 101*p**3 + 53*p**3 - 67*p.\nAnswer: -137*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**2 - w**2 + 5*w**2)*(286292430 - 4835*w - 286292430)*(7 - 2 - 3) to b*w**3 + g*w**2 + q*w + n and give b.\nAnswer: -9670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 4*k + 6. Let f(d) = d + 2. Let c(l) = -3*f(l) + g(l). Let o(i) = -i**2. Give c(o(a)).\nAnswer: -2*a**4 - a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -12, -1054, 5, -3, 3 in ascending order.\nAnswer: -1054, -12, -4, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*d = 1179 + 315. Solve d*z + 26 = -46 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 129080 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8051947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.84388 - 0.08388. What is i rounded to 1 decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0*c + 0 + 0*c**4 + c**2 - 1\/2*c**3 - 1\/60*c**5. What is the derivative of u(r) wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*0 - -3. Suppose 5*x - 6 = 3*w + 4, -i*w + 15 = 0. What is the derivative of -2*u - 5 + 4 + 4 - x wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -438 - -434.31. Let r = p + 3.29. What is the third biggest value in -8, 1, r?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 200771112?\nAnswer: 200771106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((-579)\/(-24) + -24). Sort -3, -5, i, 1 in descending order.\nAnswer: 1, -3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412513 divided by -1038?\nAnswer: 412513\/1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-6)\/(-2538)*(-6)\/(-2)*(-40)\/(-60).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10 - (-124)\/(-155)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(16) - sqrt(256))\/sqrt(2) + sqrt(450)\/(-2*sqrt(324)).\nAnswer: -77*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1360)\/32*(-12)\/(-10) + 0. Calculate the common denominator of -97\/16 and 122\/f*(-3)\/8.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 871, 869, 867, 865?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z**4 + 11*z**5 - 12*z**5 - 3*z**4 + 4*z**4 + 3*z**5 - 8*z**3.\nAnswer: 2*z**3*(z - 4)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -654 not equal to 145\/878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 0.3 (c) -0.3 (d) 3 (e) 8 (f) 0.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*y + 4. Suppose y*q - a + 2*a = 1, -3*q - 2*a + 2 = 0. Solve -3*i + 19 - 4 = q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -15 + 13 - d + 2*d. Let q be w(1). Let i be 15\/12 - (0 - q). Sort -2\/15, 4, i in increasing order.\nAnswer: -2\/15, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 8343?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -353, -1590, -3645, -6512, -10185, -14658, -19925?\n\"Answer: b**3 - 415*b**2 + b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 45. Let t be (m\/(-4))\/(213\/(-108) + 2). Suppose 10*n = t*n + 139. List the prime factors of n.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/3 - 2*i\/3 + 1 = 0. What is i?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 - (-1003)\/(-1785)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 - 257*t - 88788 = 0. Calculate t.\nAnswer: -196, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 464688 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533794980 - 115*z**3 - 533794980.\nAnswer: -115*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 309 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -262, -353, -464, -601?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1904185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8*u + 4. Let f(q) = q - 1. Determine b(a) + 6*f(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 + 1.2?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7623306.\nAnswer: 2, 3, 47, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rssrsslsrsssrl. What is prob of sequence rs?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -4\/1705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 723451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 30, 0.5, 0.4, -6, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -941?\nAnswer: -942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 39*k + 116. Let w be q(16). Solve 2*h + w*t = 10, -4*t = -4*h - t - 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*f**2 - 68*f + 3912?\nAnswer: 18*f - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*x + x = 8, x = -1. Let v = -7 + 9. Let w = v + -1.9. What is the nearest to w in -1\/3, c, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 969765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3dfe8b (base 16) to base 8.\nAnswer: 17377213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 6 - 1. Suppose -2*q + b + 0*b + 188 = 0, 10 = g*b. List the prime factors of q.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 14*t + 10*t = -29, -861*a + 2*t = -859*a + 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 49756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.91366 and 1.\nAnswer: -2.91366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 78. Is 2*(0 + x\/(-6)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z + 4 + 3*z - 4 as o*z + q and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22946546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1450 from -26.71454.\nAnswer: -1476.71454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.64 - -1.64. What is the nearest to -1 in -4, x, -3\/5, 1\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/((-1)\/(-3)). Let i(k) = -5*k**3 + 3*k**2 - k - 1. Let u be i(1). Let j be 3\/(3 - (-90)\/u). What is the closest to 1\/2 in -1\/3, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -8 - -1) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9302*234.\nAnswer: -2176668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82327, -167171, -252015?\nAnswer: -336859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**5 - 2*s**5 - 26*s + 28*s - s**4 + s**5 + s**4 + (2 - 1 - 2)*(-s**5 + 3*s**2 - 3*s**2) + (3*s**4 + 4*s**4 - 5*s**4)*(0*s + 2*s - s).\nAnswer: 7*s**5 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1875)\/2)\/(12\/(-11008)). What is w rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10262393?\nAnswer: 23, 446191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001020 - 2?\nAnswer: -1001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2452, 2433, 2414, 2395, 2376, 2357?\n\"Answer: -19*w + 2471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1206*x**5 - 10*x**4 + 14*x**3 - 1870752*x**2 wrt x.\nAnswer: 72360*x**2 - 240*x + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111110111001010011 + -101?\nAnswer: 1001111110111001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (4 + (-4 - -7)) - 4) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqe when four letters picked without replacement from {e: 14, q: 4}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 72496 (base 10) to base 3\nAnswer: 10200110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-253)\/(-1656) - (14\/18 - 1). Let i = 3.3 + -21. Let n = -14.7 - i. Which is the third biggest value? (a) n (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.812081l to millilitres.\nAnswer: 5812.081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 265324\/7, -1, 6?\nAnswer: 265324\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24541429 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 + -3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*o - 33. Let b = -5 + o. Solve 1 - 1\/2*w - 1\/2*w**b = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**4 + x**3 - x**2 - x + 1. Let f(g) = 51*g**4 + 5*g**3 - 51*g**2 - 5*g + 5. Let w(q) = -f(q) + 5*y(q). What is the third derivative of w(d) wrt d?\nAnswer: -1344*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, 34, 155, 382, 751, 1298, 2059?\n\"Answer: 6*l**3 - l**2 + 12*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 144 + 8 + 28 = 0 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 10*x**2 + 24*x + 7. What is t(-6)?\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*r = 2, 4*r = -5*s + 2*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3 (b) 1 (c) -31\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 775*k - 4. Let v(m) = 775*m - 2. Calculate -3*g(h) + 2*v(h).\nAnswer: -775*h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**4 - 70*q**3 + 125*q**2 + 790*q + 600 = 0. What is q?\nAnswer: -15, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 182*p. Let f(w) = 10*w - 7. Suppose -436 + 444 = -4*t. Let j(g) = -3*g + 2. Let u(a) = t*f(a) - 7*j(a). What is k(u(q))?\nAnswer: 182*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5513, 10874, 16257, 21674, 27137, 32658?\nAnswer: 38249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.706 - 2.856. Which is the smallest value? (a) -1\/5 (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**2 - 8861896*x - 4908325044676 = 0.\nAnswer: -1107737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -32 + 41 - 2*v - 17. Give r(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*p - 98 + 18, 4*p + 148 = -5*z. Let h = z - -70. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0072 - -11.0072. Let b = -8 + t. What is the nearest to -2 in 0.5, 4, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1794, 3587, 5380, 7173?\n\"Answer: 1793*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2219 is divided by 374?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 621, -34, -10, 3, 0 in ascending order.\nAnswer: -34, -10, -4, 0, 2, 3, 621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1416 and 46374?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -42. Let m be -3 - -1 - (-54*j + -3). Suppose 0 = -3*u + m + 14. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**4\/12 + 2*z**3\/3 + 2*z**2 + z. Let x be o(4). Suppose x + 14 = 3*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 76873\/21637?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*r + 2077, 23*v - 24*v + 1043 = r. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -482*m + 498*m - 32. Let v(d) = 5*d - 12. Let k(a) = -14*a + 35. Let i(p) = 6*k(p) + 17*v(p). Let h be i(-5). Sort 5, h, m in decreasing order.\nAnswer: 5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {z: 1, r: 3, f: 3, v: 4, w: 6, h: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3667.8495 rounded to zero decimal places?\nAnswer: -3668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(700) - sqrt(700))**2 + -3.\nAnswer: 34297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(360)*-2*-6)\/sqrt(8))\/((sqrt(45) - (2*sqrt(450))\/sqrt(10))\/sqrt(5)).\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -15.824?\nAnswer: -4.7472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/6081 and -101\/19770.\nAnswer: 40073790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915958677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**3 - 2*q**3 + 3*q**3 + (6*q**2 - q**2 + 0*q**2)*(-2*q + 0*q + 0*q))*(-2 - q + 2)*(-690*q + 118 + 177*q - 118).\nAnswer: -7182*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n**2. Let r(a) be the first derivative of a**4\/4 + 23*a**2\/2 + 25. Let z(u) be the second derivative of r(u). Calculate z(m(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f**2 - 173*f**2 + 84*f**2 - 73*f**2 - 100*f**2.\nAnswer: -334*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14075456 divided by 136?\nAnswer: -103496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*v + 6*v. Determine j, given that 41*j - 41*j + 4*j**4 + 8*j**v + 4*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/300 - j**4\/40 + 7*j**2. Factor l(w).\nAnswer: -w*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.6 (b) -3\/2 (c) 3 (d) 108\/5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 2*a - 3. Give x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 20 - 21*j + 3*j - 11. What are the prime factors of t(-2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17.3801619 seconds?\nAnswer: 0.00020115928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:54 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*-1*sqrt(91)*-1*1)\/(sqrt(343)*1 - (sqrt(175) - sqrt(175)*2 - sqrt(175))))**2.\nAnswer: -468\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151860 and 60?\nAnswer: 151860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-2*7\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*n*s**2 + n*s + 82684*n - 893*s**2 wrt s?\nAnswer: 8*n*s + n - 1786*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 365*u - 4274*u + 28*u - 969*u to p*u + a and give p.\nAnswer: -4850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -17) + (80 - 69 - (14 + -2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*u = 141. Round u to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**2 + 3*q**2 - 5009 + 24746 + 2342 + 5493 to l + n*q**2 + a*q and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a59f - -1?\nAnswer: -4a59e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03938, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:31 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 472*r - 155 + 53 + 47 + 55 + 107*r**2 wrt r.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-9))\/((-3)\/(-18)*-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 6*y**2 - 8*y - 3. Let k be n(-7). Suppose -c + 11 = 4*m, -k*c + 2 = 4*m - 18. Differentiate 4*q - 1 - 4*q - q**c wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 107 - 69 = 0. Let n = o - -91. Suppose 5*t - 434 = n*t + 4*s, 3*t + 4*s = 601. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 499464 divided by 168\nAnswer: 2973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483370 is divided by 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + y**2 + 40*y + 86. Calculate i(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10271 is divided by 294.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818917 divided by -1?\nAnswer: -1818917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.02838279 times 0.4\nAnswer: -0.011353116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/19040 and 79\/14960.\nAnswer: 209440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) 5\/3 (c) 0.3 (d) 0.214 (e) 5 (f) 0.1 (g) -0.37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * 1950.\nAnswer: -72150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 12773 = -4303. What are the prime factors of b?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*g**5 - 99*g**4 - g**3 - 2*g**2 + 14647 wrt g?\nAnswer: -1560*g**2 - 2376*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*y + 19*y + 388*y - 3718 = -46 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9673 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2325 (base 6) to base 13.\nAnswer: -33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1. Let d(t) = 7*t + 116. Let n(j) = -d(j) - 6*w(j). What is the remainder when ((-3)\/(-9))\/(2\/246) is divided by n(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 17. Let s be o(-12). Let d = s + -1. Suppose -j = i - 33003, d*i - 9 = i. Round j to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 115.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 4*j - 11*j + 6*j + 5*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 27856?\nAnswer: 306416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 327916739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43985 by 1.\nAnswer: 43985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9) - (-15)\/9. Suppose 0 = -2*z - f + 8. Suppose -k - z = -5. Solve -3*t + 10 = k*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + y**2 - y - 7. Calculate q(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1*3\/(-9)*(-168)\/798.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -8) + (-1 - 1). Suppose u*x = -x. Let j(p) = -p - 5. Determine j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (3 + -2)) + (200 - 190).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136191296\/387 - 351918. Let b = -60\/43 - p. Calculate the common denominator of -14\/93 and b.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(136)*1 - sqrt(136))*6)\/(sqrt(56)\/(sqrt(56)\/sqrt(128))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*r + 166*r - 77*r + 138*r as q + o*r and give o.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154700344?\nAnswer: 2, 1747, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**3 + z**2 + 2*z + 2. Let n(q) = 1140*q**3 - 6*q**2 + 5*q + 1. Let m(a) = -n(a) - 6*p(a). Find the second derivative of m(l) wrt l.\nAnswer: -6948*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/8 and 37\/11598570?\nAnswer: 46394280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 181524.6 hours?\nAnswer: 7563.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*i**2 - 113*i**2 + 236*i**2 - 265*i**2 - 241*i**2.\nAnswer: -611*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - a + 1. Let p be v(3). Let r = -16 - p. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458867 is divided by 3399.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 660862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39570.0408 + 39509. Let t = -724 + 663. Let l = t - r. What is l rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-8))\/f)\/f)**(3\/8)\/(f*(f\/f**(-1\/34))\/f*f*f*f**17) assuming f is positive.\nAnswer: f**(-2367\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -3*b - 89. Suppose -b*d - 57 = d. Let n(m) = 2*m + 40. Let p be n(d). Solve l + y = -4*l + 7, 0 = p*l + 2*y - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 2, a: 2, m: 4, f: 2, k: 2}. What is prob of sequence ak?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*15\/(-25). Let v = -1 + 4. Which is the second smallest value? (a) s (b) v (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1400, 2832, 4264?\nAnswer: 5696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - x - x. Let k(v) = -5*v**2 - 3*v - 6. Let s(t) = -19*t**2 - 11*t - 22. Let y(p) = -22*k(p) + 6*s(p). What is y(u(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6463 (base 7) to base 8.\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 0*r + 0*r + (3*r - 1 + 1)*(0*r - 3*r + 7*r) + (-2*r + r - r)*(0*r + 0*r - r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -1\/15*i**5 + 7*i + 16\/3*i**2 + 1 + 8\/9*i**3 - 2\/3*i**4 + 2\/45*i**6. Factor l(o).\nAnswer: 4*(o - 2)**2*(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o. Let x(p) = p. Suppose 4*l + 54 = -2*g - 0*g, -1 = -g. Let u(b) = -b**2 - 14*b + 3. Let a be u(l). Determine a*x(t) - 2*q(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1078861.7 to the nearest 1000.\nAnswer: 1079000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 791 divided by -28?\nAnswer: -113\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/7)*x**(-3)*(x\/x**(-1\/4))**(10\/9))**(-42) assuming x is positive.\nAnswer: x**(149\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*l - 0*l + 7, 3*k = l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a5978a3 - -1?\nAnswer: a5978a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 388 + -285. List the prime factors of j.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 1806*f**3 + 0*f**2 + 1194*f**3.\nAnswer: -612*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -18, -26, -34?\n\"Answer: -8*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-2*sqrt(104) - sqrt(104))*-1 - sqrt(104)))\/(sqrt(88)\/((-2*sqrt(176) - sqrt(176)) + sqrt(176))).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 26 = -4*u + 8*h, 3*h + 19 = -4*u. Solve u*i = 4*i - 3*x + 5, 4*x + 5 = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(45*n + 5*n + 0*n).\nAnswer: -150*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*i = 284, 5*c = 5*i - 66 + 426. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -18. Suppose -11 = -t*a + 11. What is the smallest common multiple of a and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 3. Let v be 1\/(-3) + (-19)\/(-3). Let o be -1 - 4\/3*-3. Let t(c) = -v - 1 + 0*c + o*c - c. Determine 3*t(a) + 7*x(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 332359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 53 in increasing order.\nAnswer: -1, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oonn when four letters picked without replacement from nonnnononnonnnonnn?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9.7 times -62\nAnswer: -601.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 857.02 and 0.1.\nAnswer: 85.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 5. Calculate the remainder when (-51 + 54)\/((-3)\/(-18)) is divided by u(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 264 = -0*k. Calculate the highest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from vovoogvgvoooooov.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 + 17 = -40*n - 38. Suppose r + 3*p = 2*r - 1, 5 = 5*r - 2*p. Does 3 divide 36*-4*r\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -102.6\nAnswer: -102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11383*h**3 - 18*h**2 - 18. Let b(k) = 46826816*k**3 - 74048*k**2 - 74048. Calculate -9*b(u) + 37024*x(u).\nAnswer: 2848*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 15*r = -465. Let s = r - -95. Suppose 2*p - 4*p = -3*g - 2, 0 = s*g - 4. Solve -5 = -y + 3*v, 2*y + 3*v = p*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 15. Suppose -2*k = -5*a - 25, 20 = k - a - 3*a. What are the prime factors of n(k)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 - 7175*g**3 - 57640*g**2 - 115440*g.\nAnswer: 5*g*(g - 1443)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*t**4*v**3 + 106*t**3 + 6*t**2*v**3 - 5*t**2*v - 6*v**3 wrt t?\nAnswer: 144*t*v**3 + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1053 and 225?\nAnswer: 26325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (10 + -2)) + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/5 + 60*d + 608\/5 = 0 for d.\nAnswer: -2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (351\/(-156))\/(-3*5\/60).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 227, 211, 195, 179, 163, 147?\n\"Answer: -16*n + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 2689. Let o(g) = 1793*g. What is f(o(s))?\nAnswer: -3586*s + 2689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -404.2 - -10.2. Let v = s + 389. What is the second smallest value in 0.5, 2\/17, v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 27*t**6\/5 + 233*t**5\/15 + t**2 + 15. What is the third derivative of b(r) wrt r?\nAnswer: 3888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898904 divided by 712?\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 10001?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 6, w: 3, k: 4, i: 1, l: 4}. Give prob of sequence kr.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plbmszz. Give prob of sequence zbs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -57. Let d(r) = a*r**3 + 3*r - 2*r**2 + 10*r**3 - 14*r**3 - 3*r**2 + 2. Let g(s) = -s**3 + s**2 - s. What is -d(c) - 5*g(c)?\nAnswer: c**3 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 160*f**2 - 7*f + 113*f**2 - 267*f**2 - 8*f**4 + (-f - 3 + 3)*(0*f**3 + 0*f**3 + f**3) in the form l*f + y*f**2 + q*f**3 + s*f**4 + p and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -843470, -843474, -843478, -843482, -843486, -843490?\n\"Answer: -4*h - 843466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((344\/(-258) - (-404)\/6) + (-64)\/4)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -62. Let d = 1002 + -5008\/5. What is the fourth biggest value in 0.1, b, d, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.345643 months to centuries.\nAnswer: 0.0194547025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 91.64615 micrometers?\nAnswer: 0.00000009164615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/14*(-15)\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzjjjzjzzjjjjjjjzj. Give prob of picking 4 z.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 0*k + 0*k - k + k - k**2 + (-3*k - 8*k - 8*k)*(-2*k + 2*k + 2*k) in the form a*k**2 + p*k + t and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/5 - (-7)\/105*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10944903 - 203389.\nAnswer: 10741514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20724 and 74811.\nAnswer: 46981308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 0, x - 6*x = -3*i - 23. Suppose -43 = x*l - 203. Let t be 6*(3 - l\/15). Solve -s + 6 = -m, m = -4*s - t + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61210620*k**2 - 260636*k + 74.\nAnswer: -122421240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9208557?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -900291*-455\nAnswer: 409632405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -1\/30*q**7 + 10*q**2 + 0 + 0*q**4 + 2*q**3 + 0*q + 0*q**6 + 0*q**5. Differentiate n(g) with respect to g.\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34656, 277227, 935644, 2217831, 4331712, 7485211, 11886252?\nAnswer: 17742759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-27))\/(((-3)\/(-1))\/(-18)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40698366?\nAnswer: 2, 3, 139, 48799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0346995 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504700.\nAnswer: 2, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*g - 64*g = 0. Let y = -0.15 + -0.14. Let n = y + 0.3. What is the closest to -0.1 in n, g, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4352 (b) 4 (c) -144\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 - 35*w + 35*w)*(-246*w - 95 + 483*w - 240*w) - w**2 + w**3 + w**2.\nAnswer: 19*w**3 + 570*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 19*p**4 + 2*p**4 + 9*p**4 + 7*p**4 - 3*p**4 - 3*p**4 + (2*p - p + p)*(p**3 + 2*p**2 - 2*p**2).\nAnswer: 33*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2304 and 271800?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6885?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v + 3. Let t be 3\/(-18) + (-13)\/(-6). Let f be g(t). Let q be (-1 - 0) + (4 - f). Solve b - q = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928266233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/373 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 21*b + 38 = 26*b + 53, 4*b + 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 512*j**2 + 37976*j - 1761. Determine v(-422).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l - 2. Let y(x) = x + 1. Let u(h) = -b(h) + 3*y(h). Let j(v) = v - 6. Let m be ((-5)\/15)\/((-2)\/(-24)). Give m*u(i) - 3*j(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39965, 41115, 42265, 43415, 44565, 45715?\nAnswer: 46865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -17. Let g = -5 - w. What is the highest common divisor of 30 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 - 29*v**2 - 6*v + 9. Let g be h(-7). Which is the fourth smallest value? (a) -0.3 (b) g (c) -3 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from bbbbebe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161302374 by 3.\nAnswer: 53767458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1215 and -24143.2.\nAnswer: 29333988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 21*b**2 - 25*b + 91. Give w(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000240597298 rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(-1\/4)*l*l**(4\/5)*l*(l*l**(-4))\/(l\/(l**(1\/7)\/l)*l) assuming l is positive.\nAnswer: l**(-113\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83 - 36?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7749 + 26018. What are the prime factors of k?\nAnswer: 33767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -425.831 and 66?\nAnswer: -28104.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -b + 8 - 22, -2*b - 18 = -2*s. What are the prime factors of 6\/b*82*1\/(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 3*s. Let i(g) be the first derivative of 0*g**4 + 14 + s*g**3 + 0*g + 8\/5*g**5 + 3\/2*g**2. Find the second derivative of i(d) wrt d.\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*(4 + (-2*sqrt(13) - sqrt(13)) + sqrt(13)))**2.\nAnswer: -24*sqrt(13) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15526398956 and -0.5.\nAnswer: 15526398955.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24206 divided by -49?\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 901439, 901405, 901347, 901265?\nAnswer: 901159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -173, -139, -69, 55, 251, 537, 931?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3))**47*w\/(w**(-3)*w)*w\/(w**(-7)*w))**(-18) assuming w is positive.\nAnswer: w**(-744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -586\/9 (b) 2.98 (c) 3 (d) -1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)\/sqrt(288) - (sqrt(76)\/sqrt(4) + 0)) + ((sqrt(152)*-1)\/sqrt(8) - (2*sqrt(19) + 3))**2)*-2 + 0.\nAnswer: -360 - 103*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386, -387, -390, -395, -402?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -n + 18, 4*m - 6*m + 2 = 0. Suppose -2*i - 2*v + 155 + 73 = 0, 349 = 3*i - 4*v. Calculate the highest common divisor of i and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -1 (c) -4\/7 (d) 33.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6168 (base 10) to base 16\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, f: 6}. What is prob of sequence cfff?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11.4 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 less than -7313390.09?\nAnswer: -7313392.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 8*v. Let m(y) = -8*y**2 + 13*y + 14. Let w be m(-1). Let a(s) = -s**2 - 7*s. What is w*a(t) - 6*n(t)?\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 31277574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k - 445 = 0. Let p = k + 137. What is the smallest common multiple of 24 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -4024805?\nAnswer: 17\/4024805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**3 + 9*t**2 - 9*t - 25. Let q(z) be the first derivative of -3*z**4\/4 - 4*z**3\/3 + 2*z**2 + 12*z + 653. Determine 4*g(a) + 9*q(a).\nAnswer: a**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, 294, -116194 in decreasing order.\nAnswer: 294, -2, -116194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 282845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*x**3 + 24\/7 - 10\/7*x**2 + 16\/7*x.\nAnswer: -2*(x - 2)*(x + 1)*(x + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, m: 1, o: 1, j: 5, s: 5}. Give prob of picking 1 m, 1 s, and 2 j.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76076212 is divided by 2173606.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -902*a**2*c - 4981*a**2 + 104*a - 173915*c wrt a.\nAnswer: -1804*c - 9962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*x - 6 = 0, -y + 4 = 4*x - 18. Solve -3*w - 13 - y = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 19.6. Which is the closest to 0.4? (a) n (b) 2\/11 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58397495 by -2.\nAnswer: 58397495\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*-1*2\/(-10). Let k = 4336 + -4341. What is the biggest value in 4\/3, x, k, 3\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 191703.\nAnswer: -383406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/7358 and -133\/25470?\nAnswer: 331110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2 - 2 + t**2 - 7*t + 7. Let w be c(6). Let b be (-8)\/(-3)*3\/w. Solve -2*l - i - b = 0, -4 = 2*i - i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*m - 4*m + 187, 0 = 4*m + 4*n - 368. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1714918 - -3560169919\/2076. Calculate the common denominator of -59\/12 and q.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 3*s + d, -s - d + 44 = d. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**4\/7 - 12*h**3 = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*v + 2417 + 1226 = 6951 - 1394 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 149 + 2*o**3 - 40*o**2 + 0*o + 5\/4*o**4. Find the second derivative of u(v) wrt v.\nAnswer: 30*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b + 5. Let q(y) = y**2 + 30*y + 228. Let z be q(-16). Let j(h) = -3*h + 2. Determine z*x(u) - 10*j(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.1, -2\/5 in descending order.\nAnswer: 4\/5, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8 + 4 = 0. Let o = x - -5. Suppose -o*u - 25 = -3*d, 2*d + 0*u + 5 = -3*u. Solve 0 = -2*t + 4*m + 14, 5*m - 3*m = 5*t + d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 6*f + 4. Let s be h(-6). Suppose -i - u + 13 = -2*u, -s*u - 40 = -3*i. Suppose w + 3*w = i. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -5, -2\/13, 5, 1, 0.3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/16*(-72)\/(-15). Let z = 556 - 256. Suppose -b - p - 31 = -91, -3*p - z = -5*b. Calculate the greatest common factor of a and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 71*y**2 + 1061*y + 219. Give o(22).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1381, 2763, 4145, 5527?\nAnswer: 6909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -220, -346, -490, -658, -856, -1090?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11829*k - 8*k**2 - 11829*k.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1989*n = -3022*n - 25354 + 250849 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24\/221 + 2\/221. Let w(l) = -9*l + 36. Let m(k) = 2. Let u(h) = 5*m(h) - w(h). Let z be u(3). Is z greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 5*o. Let a(y) = 3 + 3 - y + 3. Calculate a(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezreooeeyerrw. Give prob of picking 1 z, 1 e, and 1 o.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:21 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 8. Let g(c) = 11*c + 25. Let h(l) = 2*g(l) + 7*w(l). Let d(v) = -1 + 4 - 2. What is -4*d(f) - h(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6.95530855005+-16\nAnswer: -9.04469144995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2216605, -2216604, -2216615, -2216644, -2216697, -2216780, -2216899, -2217060?\n\"Answer: -i**3 + 8*i - 2216612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*x**3 + 2*x**4 + 18*x**3)*(-874*x + 1406*x - 1116*x).\nAnswer: -1168*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*j + 31*j**4 - 35*j + (j - j + j**2)*(-j - 23*j**2 + 18*j**2 + 3*j).\nAnswer: 26*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/(-95) - (-166716)\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*q - 16 = 0, -3*h - 2*q + 5*q = -6. Let i = 10 + h. Solve 0*f = -3*f - i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = -54585*s + 54582*s + l, 3*l + 12 = 0 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfgggfygff. What is prob of sequence gfgg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/((-3)\/(-2) - 1). Let z = -29 - n. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 14*g. Let m(c) = -14*c - 11. What is i(m(l))?\nAnswer: 392*l**2 + 812*l + 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -7 - (4 + -1 + 2 - (591 - 653))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 6. Let q be r\/(-9)*-6 - 2. Suppose k - 5*n = 11, 86 = 4*k + n - q*n. Calculate the remainder when 39 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*i + 4, 5*h - 102 = i - 101 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 34.\nAnswer: 53\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -57. Let z = 44 + l. Let n = -2 + 1.7. Which is the third smallest value? (a) 4 (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215200?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2, -2, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1726, -3468, -5226, -7006, -8814, -10656, -12538?\n\"Answer: -k**3 - 2*k**2 - 1729*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 637362 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:38 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -m - 4. Suppose 0*y + m*y = 130. Calculate the remainder when y is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3523 = -3553 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1720\/56 - 3\/(42\/(-4)). Let c(b) = b - 3. Let j be c(4). Let x = 8 - 6. Solve -x*w = -5*r - o, j = -5*r + 3*r - 3*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/4)\/(66\/(-303)) and ((-3720)\/(-135) - 28) + (-166)\/396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122021?\nAnswer: 122021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - f - 21, 5*j = f - 2*f + 15. Let y(l) = 2*l**3 - 5*l**2 + 2*l - 2. What is the units digit of y(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*5*(-6)\/4. Let b = -38 + 50. Calculate the highest common factor of l and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 314484702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -r + 18. Suppose -5*z = -r*z - 2. Is -1\/38 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45223000 rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 38 + 17. Suppose 3*v + 2 = -1, 11 = -c - t*v. Let a(k) = -k + 12 + 0*k**3 + 11*k + k**3 + 9*k**2. Calculate a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 4*f**2 - 3*f - 2. Let j = -399 - -427. Calculate the remainder when j is divided by h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 337.3 - 378. Let m = k - -36. Let s = 0.1 + m. What is s rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-72)\/14 - 2\/(-14). Let y = -117 + 117. Let i = -4.1 + 4. What is the closest to m in 0.2, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -7*d + 21*d - b, -24*d - b = d + 11 - 94 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1923567922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(19)*-1 - (sqrt(19)*1 + 4).\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32.08 and 13703?\nAnswer: -439592.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -161*y - 1. Let h(k) = 242*k + 1. Let x(d) = -3*b(d) - 2*h(d). Let n(m) = -6*m + 50. Determine n(g) - 5*x(g).\nAnswer: -g + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 7. Suppose 0 = -4*c + 9*c. Suppose -470 = -40*i - 7*i. Suppose c = 11*q - 9*q - i. What is t(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 19*v + 2. Let b(p) = p**3 + 7*p**2 - 10*p + 66. Let y be b(-9). Let t(a) = -37*a - 4. Give y*t(o) - 11*k(o).\nAnswer: 13*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 280, -1\/2, -5\/3, 3, -8.8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqvt when four letters picked without replacement from {q: 3, t: 5, r: 1, v: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.5 and -917.\nAnswer: -919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 14*m + 21. Solve -4*i = -8*i - m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -10*y + 5. Let u = -0.3 - -0.1. Let p = -1.4 - 0.6. Which is the closest to p? (a) y (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67534*i**3*x + 77265*i**2*x wrt i.\nAnswer: 405204*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (11 - (-3 + 1)) - -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 equal to 72\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7071, -28284, -63639, -113136, -176775?\nAnswer: -254556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2085935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 355, 3, 2, -172, 5, -66 in decreasing order.\nAnswer: 355, 5, 3, 2, -66, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 - 176. Let c(k) = -k - 5*k + 4*k + 2. Give c(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78304 (base 13) in base 10?\nAnswer: -218014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -353 (b) 5 (c) -6 (d) 5\/3 (e) -2 (f) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 698\/5 + -139. Let w = -5.44 - -0.44. Let i = 1.4 + -7.4. What is the second smallest value in w, p, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzwwwwwwzwwzwwwzww. What is prob of picking 3 z and 1 w?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a16651 (base 12) in base 8?\nAnswer: -40312435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 3, -1179, -5 in decreasing order.\nAnswer: 6, 3, -2, -5, -1179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 9, -11.1, -5, -4\/18013?\nAnswer: -4\/18013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, 158.651, 0.1122?\nAnswer: 0.1122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = h - 151. Suppose 4*i - 1026 - 118 = 2*k, h = i - 4*k. What is the highest common factor of 26 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4008 + 2.\nAnswer: -4006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:49 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2))**(2\/3)*i**7\/i**(-2\/9)*((i**(1\/2)\/i)\/i)**38*i\/(i*i**(-2\/11))*i*i*i**(1\/2) assuming i is positive.\nAnswer: i**(-9259\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4\/36 + 94*j**3\/27 + 2825*j**2\/18 + 27500*j\/9 - 14008. Determine k, given that a(k) = 0.\nAnswer: -44, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3592 divided by 213002\nAnswer: 1796\/106501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7827*p**2 + 57*p - 12. Let f be a(-3). Round f to the nearest 1000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*r - 12, -5*r - 17 = -2*l + 3. Solve l = 4*h - k + 3, 3*h - 3*k + 2*k + 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1 - 1 - 3 + 6 + (-3 - 4 + 6)*(5 - 2 - 1) + 0 + 2 + 0 + 2 - 7 + 3)*(5*o + 2*o - 5*o)*(-4*o - 3*o + 3*o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(209)*2 + sqrt(209) + sqrt(209))\/sqrt(11) - ((-2*sqrt(114))\/sqrt(6) - sqrt(19))) + -4 + (sqrt(19) - (sqrt(76) + -5)).\nAnswer: 2 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6290 = -1946. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 932281\/36 - 25900. What is the common denominator of p and 0 + 1\/((-24)\/(-508))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**3 - 14*d**2 + 5*d + 54. Determine u(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 0)*(-1)\/2*2. Let m = 8 - 4. Find the second derivative of -b - 2*b - m*b**4 + z*b**4 + b**4 wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 4) to base 12\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*y = 110*y - 2. What is the thousands digit of 2\/17 - (-213417)\/306*y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3832784581 and 52414.\nAnswer: 3832836995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -280 - -285. Suppose 0*j + k = l - 2*j, 5*l + 3*j = -27. Let u(y) = -y**2 - 1 + 2*y**2 + 0*y**2 + y. What is u(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**4\/12 - f**3\/3 + 9*f**2\/2 - 12*f. Let b be k(-4). Solve -4*g**3 + 0 - b - 2 + 4*g + 7 - 4*g**2 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o + 8 - 8 + 9*o)*(0 - 1 + 3)*(13*o + 16*o - 7*o) to j*o + n*o**2 + w and give n.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 84364923 equal to 84364922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/6 + m**2\/2 + m. Let c(b) = -2*b + 10. Let y = -31 + 39. Let t be c(y). Determine l(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 758444 and 4064.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19271 and -7086432?\nAnswer: 7105703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 422109*-0.2.\nAnswer: -84421.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24702980459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3 + 2*d**6 - 4*d**4 + d**2 + 14*d**4 - 10*d**4 wrt d?\nAnswer: 240*d**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114646, 917200, 3095564, 7337644, 14331346, 24764576, 39325240, 58701244?\nAnswer: 83580494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-214 - -200 - 54\/(-4))*(-3 - 23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48825)\/1953 + (-473)\/(-19).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Let s = -230 + 245. Suppose -4*c + 4 = 3*z, -57 = -s*z + 11*z + 5*c. Solve -z + 0 = -d*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 15. Suppose -9 = m*t + 3*c - 2*c, -3*t + 3*c = -9. Let k be (-1)\/(-26)*(11 - 15)\/1. Does t = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 95\/(-38)*(-4)\/2. Let m(u) = u**2 - 4*u - 5. Let q be m(z). Which is the second smallest value? (a) 0.3 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 36\/(-12)*(-142)\/(-6). Let t = w - 71. Suppose t*d - 14 - 242 = 0. Does 32 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -19*s - 10. Let m(k) = 9*k + 5. Let z(t) = 2*l(t) + 5*m(t). Let a(n) = -11*n - 8. Let q(y) = -5*a(y) - 8*z(y). Let d(v) = -v. Determine q(d(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 7*u - 24 = 0. Suppose -u*w + 0 + 8 = 4*y, -2*w = -4*y - 8. Solve 5*m + 5*a = -0*a + 35, -4*m + 4*a = w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5. Let t = 9 + -3. Sort t, 1, i in decreasing order.\nAnswer: t, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.133513 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3 = -17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 + 34\/10. Let q = -14 + s. Let j = -10 - q. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**13*m))\/(m*(m**1*m*m)\/m))\/(m\/m**(-3\/4))**(-9\/2))**25 assuming m is positive.\nAnswer: m**(-1625\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 7)*(6*q**4 - 18 + 18) + 2*q - 2*q + q**4 - 2*q in the form v*q**3 + c + n*q**4 + d*q + u*q**2 and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141\/4 - -35. Let w = -71769\/34 - -2111. Let n = w - -6\/17. Which is the third smallest value? (a) n (b) u (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53144 and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*x**3 - 4*x**2 - 6*x**2 - 6*x**2 + 2 + 23*x**2 - 18*x**3 to the form p*x**2 + z + o*x**3 + b*x and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 2*q**2 + 11 - 3*q**2 - 445*q + 435*q. Suppose -20 = j - 9. Let b be i(j). Solve 2*k + 2*s + 0 - 2 = 0, b = 2*s - 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 36 = 5*d, -12*d + 7*d = 20. Let i(c) = -j*c + 3 + c**2 - 6 - 4 + 8. Calculate i(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -5, 4\/9, 29, 2\/5, -0.178?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718357389?\nAnswer: 3, 17, 31, 53, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xom when three letters picked without replacement from booozombbzoobbobobdx.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177716?\nAnswer: 2, 7, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960\/(-1200)*(-25)\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 48*o**2 + 12*o. Let v(m) be the first derivative of 19*m**3\/3 + 5*m**2\/2 + 42. Determine -5*t(z) + 12*v(z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 + 10. Let j(c) = -4*c**2 - 6. Let l(v) = -5*j(v) - 3*w(v). Let p(k) = -2*k + 5 - 5. Give l(p(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igg when three letters picked without replacement from {s: 1, g: 2, i: 1, w: 1, y: 1, q: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31495301 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11627221 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one quarters of a meter?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n + 2*a + 44, 5*a + 15 = 3*n. Suppose 53*p - 51*p = -30. Let f = n - p. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0) + -2 + 4. Suppose z = 5*s + 2*h - 5, 0 = -4*s + 2*s + 5*h + 31. Solve 0 = -y - 0*f - 3*f + 8, -3*y - s*f = -6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 26*o + 4*o)*(-3 - 3 + 0)*(-o + 1 - 1).\nAnswer: -126*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Let b be -4*(2\/6)\/(4\/(-3)). Sort 10, z, b in descending order.\nAnswer: 10, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13423, -13422, -13421?\n\"Answer: l - 13424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**3 - 315112*c**2 - 29655500*c - 29340384 = 0.\nAnswer: -93, -1, 78872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9806468.72 rounded to the nearest one thousand?\nAnswer: -9806000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**14)**(-5\/6)*(g*g**(-21\/8)\/g)**7 assuming g is positive.\nAnswer: g**(-247\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30450 is divided by 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w + 2. What is the lowest common multiple of o(-2) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 - 338 - (5 - 26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 16*o - 17. Let a be j(-13). Suppose -8*q = -10*q + a. Suppose 0 = 3*v - q + 5. Solve -2*x = 2*g + 6 - v, -2*g + 5*x = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 7*b - 2. Let m be (14\/3)\/(10\/15). Let n be o(m). What is the tens digit of 5 + (-2)\/n + 267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 106*g**2 + 142*g + 3751. Give y(-107).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -452\/9 (b) 2\/151 (c) 1\/2 (d) -348 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.6259173 seconds in weeks?\nAnswer: 0.00030361428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72809349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/261 and 29\/384.\nAnswer: 33408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 14. Let z be b(8). Suppose 0*f - z*r = -2*f + 30, 56 = 4*f - 3*r. Solve 2*t - x - 5 = 0, f = -4*t - 2*x + 25 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a + 3*a - 36*a to the form k*a + w and give k.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -3*s**2\/2 + 3*s - 1. What is the remainder when (-4 - -3)*5\/(20\/(-88)) is divided by w(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.71063374 - -1362\nAnswer: 1361.28936626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a + a + 2*a)*(-2*a + 2*a - a) - 2*a**2 + 0*a**2 - 8*a**2 to the form i + t*a + w*a**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 244*y**2 + 58*y - 32. Let r(s) = -49*s**2 - 12*s + 6. Give -11*r(h) - 2*x(h).\nAnswer: 51*h**2 + 16*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -2*m. What is the smallest common multiple of 9 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 123128378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - 39 - 6*m + 9*m)*((m + 2 - 2)*(0*m - m + 0*m) + 9*m**2 + 6*m**2 + 8*m**2) in the form u*m**3 + d + x*m**2 + o*m and give x.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 5, f: 6}. What is prob of picking 2 a?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*y - 4. Suppose -3*q = y*q + 3*i - 2, -4*i - 2 = 2*q. Let p be -4 - q\/(3\/12). Let o(h) = h**2 + 6*h - 10. Determine o(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 2, i: 4}. What is prob of picking 2 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - p - 1)*(-p**3 - p**3 + 3*p**3) + (54 - 23 + 31)*(p + 2*p - 4*p)*(0*p**3 + 0*p**3 - p**3) as r*p**2 + v + o*p**4 + z*p**3 + m*p and give o.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 3:35 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2161, -8760, -19763, -35176, -55005?\nAnswer: -79256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 10405?\nAnswer: 10402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -76, -169, -290, -433, -592?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = y + 1 + 23, 0 = -9*s - 0*y + 11*y + 184 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -273 (b) 2.4 (c) -1\/219 (d) 1 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3791 = -184*t + 651 + 2366 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 2*l - 3. Let r be z(2). Suppose 0 = 5*n + 37*y - 41*y - 8519, -6807 = -4*n - r*y. List the prime factors of n.\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-42))\/(35\/49).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 12481405342.381.\nAnswer: -12481405352.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-594) - 1\/3 and 79\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -32. What is the remainder when 193 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8547975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*h + 13*h - 12*h = -351. Let x = -52 - -82. Is 25 a factor of -3*(-10)\/h*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(-30)*(g**0)**42)**(-1\/11) assuming g is positive.\nAnswer: g**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p - 4*p + 6*p + (-10 + 3 - 7)*(2*p + 4 - 2 + 4).\nAnswer: -29*p - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12183180 divided by 2436636?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - w - 1. Let l(f) = -2*f**3 + 8*f**2 - 4*f - 3. Let b be ((-5)\/10)\/(2\/(-2172)). Suppose 9 = -b*i + 552*i. Determine i*l(c) - 3*y(c).\nAnswer: -2*c**3 + 5*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10300, -1\/2, 38?\nAnswer: 10300","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 35\/3904 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1256855?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**7\/1470 + m**6\/280 - m**5\/210 - 30*m**2. Factor v(o).\nAnswer: -o**2*(o - 2)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**2*w**4 + r**2*w**2 - 4*r**2*w + 16*r**2 + 770*w**3 + 8*w - 2 wrt w.\nAnswer: 12*r**2*w**2 + 2*r**2 + 4620*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*c = 275175 - 294183 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -358*u**2 - 791*u**3 + 255*u**3 - 348*u**3 + 160 + 944*u**4 - 98*u**2 - 228*u**5 + 464*u = 0?\nAnswer: -10\/19, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1087531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(sqrt(24)\/(sqrt(48)\/sqrt(4)) + sqrt(2)).\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/11 + 4*o**3\/11 - 24*o**2\/11 + 28*o\/11 - 10\/11.\nAnswer: 2*(o - 1)**3*(o + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, n: 2}. Give prob of picking 2 n and 2 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-10))\/(18602\/(-355)). Is -3 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -8.9. Let q = -22\/3 + 142\/21. What is the third smallest value in n, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 2*g**3\/3 + g**2\/2 - 4*g + 4. Let s be c(-3). Solve -j = v - 6, -2*v = -2*j - 3*v + s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2891112 and 4026906.\nAnswer: 112753368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.767 - -8.88. Round j to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 4*w**2 + 4*w + 7. Let f be k(5). Let s = 0.1 - -3.9. Let r be 2\/8 - 34\/40. What is the biggest value in f, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**5 - 5*b**3*s**2 + 46*b*s**2 - 3*b wrt b?\nAnswer: 100*b**3 - 30*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 24 - 26)*((o**2 + 0*o**2 - 3*o**2)*(-6*o + 2*o - 3*o) + 3 - 3 - 6*o**3).\nAnswer: 200*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(1 + 1 - 4)*(-4490*u**2 + 64*u**2 + 14*u**2 + u).\nAnswer: 8824*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (30 - (8 + -17 + -4)) + 10?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -2)\/((-4)\/3). Suppose -i + 2*i + 2*x = 179, -5*i + 5*x + 835 = 0. Is i\/o*6\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8)*1)\/(((-13230)\/240)\/49).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551 (base 7) in base 11?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-99))\/((-2)\/(-5) - 32286\/(-60)). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*q + 79. Calculate the remainder when q is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 9. Suppose 0 = 4*o - 15 - 9. Let k(q) be the first derivative of q**2 - 5*q + 2046. Give o*y(l) - 10*k(l).\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 6*h - 49. Calculate u(10).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 - 2*r - 2. Let f be m(-1). Suppose 2*y + 4*b - 124 = f, 5*y + 3*b - 6*b = 297. Calculate the greatest common divisor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.845, 0.4, 0, 4?\nAnswer: -0.845","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7824 - 7820. Which is the closest to 0.3? (a) t (b) 0.4 (c) 2 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19) + 4 + sqrt(19))**2 - -6*sqrt(114)\/sqrt(6).\nAnswer: 92 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -1223433?\nAnswer: -1223433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 + u - 485. Let h be i(0). Is 44\/55*h\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(3*t - t + t) + 3 - 3 - 2*t + t + 6*t - 5*t + (-2 - t + 2)*(-1 - 3 + 2) - 3*t - 4*t - 2*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 50 = 5*k, d + 320*k - 322*k = 2*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391 + 388 - 779 - 23*k.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*w - 3*n + 4*n, -w = 5*n + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.31 rounded to one dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 - 91400*a + 91405 = 0. What is a?\nAnswer: -18281, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 b when four letters picked without replacement from {t: 4, b: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-34)\/4*24\/(-204))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - 102010020210111?\nAnswer: -102010020202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 41. Let j = -85\/6 + g. Let c = -0.7 - 0.3. Sort 0, j, c.\nAnswer: c, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 961014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 37399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1931, -3, -2 in decreasing order.\nAnswer: 0, -2, -3, -1931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 7*f + 3*f**3 + 7*f + 12 wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9508205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + -0.28. Put -5, -4, t in descending order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-153)\/2) + (52\/72)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 - -71.5. Which is the closest to -1? (a) 1\/5 (b) 2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.69 and -17.9.\nAnswer: -16.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {y: 1, f: 3, e: 7, h: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 824\/309 - 1\/(-3). Let u(b) be the third derivative of 0*b**w + 5\/8*b**4 + 1\/60*b**5 + 0 + 0*b - 10*b**2. What is the second derivative of u(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 times -2.2074\nAnswer: -105.9552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 104. Let y = l + 41. Put 0, -1, y in decreasing order.\nAnswer: y, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 132*l**4 - 2*l**3 - 60*l**2 - 2129. What is the third derivative of x(v) wrt v?\nAnswer: 3168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6514025876?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6)*(-215 + 215). Sort 2, 3, -2, j, 7 in decreasing order.\nAnswer: 7, 3, 2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from bbbbkbbbbbbbbkbbbb.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5 in ascending order.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3750*x**3 + 2450*x**2 - 496*x + 32 = 0. What is x?\nAnswer: 4\/25, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177 - -23. Let q = b + 153. Let c = 83 - 499\/6. Which is bigger: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Is (7 + -6 - g)*(-103)\/2 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5453268.9 and 2.\nAnswer: -10906537.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6585208 rounded to 4 dps?\nAnswer: -0.6585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa26 (base 11) to base 7.\nAnswer: 60262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 7, -1 in decreasing order.\nAnswer: 12, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 + -133.9. Let r = 112854.899954 - 112857. Let l = f + r. What is l rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.08 (b) -7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42340, -42269, -42104, -41797, -41300, -40565, -39544, -38189?\n\"Answer: 8*v**3 - v**2 + 18*v - 42365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(120)\/sqrt(90))\/sqrt(2))\/(sqrt(3) - sqrt(27)\/sqrt(81) - sqrt(12)\/(-1*sqrt(4))) + 3)**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnhr when four letters picked without replacement from {n: 3, i: 1, r: 2, h: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Let h be -114*(10\/(-3) + 3). Suppose 4*q + 14 - h = 0. Solve 0 + q = m*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*k - 2*k - 37 = 0, 0 = -2*g - 2*k + 48. Let o(l) = g + l - 54 + 11. Give o(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 6*g**2 - 553*g - 3344. Calculate x(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h - 35. Let t be u(6). Let x(j) = 3*j**2 - 2*j - 1. Let q = -3 - -4. Let b(d) = d. Let l(f) = q*x(f) + 4*b(f). What is l(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - s = -0*d + 18, d + 3*s = 26. Suppose 0 = -o - o + d. Calculate the remainder when 58 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-520)\/325)\/((-18)\/(-15)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46322\/10815 - 604\/103. Let g be (46\/(-276))\/(10\/112). Let i = g - n. What is the biggest value in 0.3, i, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536.5696 weeks in days?\nAnswer: 3755.9872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -80, -189, -404, -761, -1296, -2045?\nAnswer: -3044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 2323*v**2 - 18*v + 18*v.\nAnswer: 2323*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -15*a - 7. Let x be h(-5). Suppose 0 = -f + x + 95. Suppose 0 = -5*t + f + 27. What is the highest common factor of 95 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3 = 68\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 4:52 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2639 = -39*i - 845. Suppose 328 = -4*h + 2*h. What is the remainder when i is divided by h\/(-14) + 4\/14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398890 a multiple of 353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2074, -4145, -6212, -8275, -10334?\nAnswer: -12389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12*252\/135*(-10)\/32\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*j = 33*j - 920 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 654952 = -3048. What is r rounded to the nearest ten thousand?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 464, 959, 1454, 1949?\n\"Answer: 495*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 23 + 12 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*p + 8*p. Let z be ((-22)\/55)\/((-1)\/25). Let k = z - 14. Put p, 5, k in decreasing order.\nAnswer: 5, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4978447257 to the nearest integer?\nAnswer: 70558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*v**4 - 7*v**4 - 1 - v**3 + 13*v**4 + v**4 + v**4 - v**4 + (5 - 5 + v**2)*(-200*v**2 + 4010 - 4010).\nAnswer: -202*v**4 - v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2722 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3 + 7. Let n = 4 + i. Let t = 2 + -4. Is n smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2 + 3)*-2. Put y, 3, 1 in descending order.\nAnswer: 3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.541 - 0.49. Round b to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - 88\/(-10 + -12)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -6. Let f = b - -15. What is the greatest common factor of f and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -102*r**2 + 169*r - 32. Give m(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17996825 take away 20.4181?\nAnswer: 17996804.5819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 4*y - 2, s + 2*y = 5*s + 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + j**2 - 14*j - 1. Let i be z(-4). Suppose 4*a + i - 51 = 0. What is the greatest common factor of 396 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28.6416 and -91.1.\nAnswer: -119.7416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 131*f**2 - 1297*f - 869. Calculate r(-140).\nAnswer: 4311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 + 39*r**3\/4 - 41*r**2\/4 - 39*r\/4 + 10.\nAnswer: (r - 1)**2*(r + 1)*(r + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -53*v - 4. Let w(i) = -2*i**2 - 2*i + 1. Let g be w(1). Let h = -6 - g. Is y(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -423 + 503 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -0.1, 0.01, 2, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/21758 and -31\/120658?\nAnswer: 1327238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471.0242 centuries to years.\nAnswer: 47102.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107511 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = m + 2*o - 6, -4*o - 12 = -4*m. Suppose 4*d = 4*k + 12, 3*d + m = d - 2*k. Let f = 1069\/7 + -153. Put f, 1, d in descending order.\nAnswer: 1, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 3*v - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/5 and 83\/963330?\nAnswer: 963330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*u = 0, -u - 20 - 10 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 9*g**2 - 6 - 6 - 4*g**2 in the form s*g + n*g**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 4, q: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + 4\/(-12). Which is the nearest to v? (a) 3\/5 (b) -1\/2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -12202031220?\nAnswer: 12202031233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2311789?\nAnswer: 47, 101, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2299)*2)**2.\nAnswer: 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121 or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7470*-0.21\nAnswer: -1568.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 - s**2 - 6*s + s**4 + 0*s**2 to the form q + w*s**4 + r*s**2 + i*s**3 + a*s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*g + 828, 4*g = 4*j - 3*j - 198. Is 30 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + 1*sqrt(19) + -4 - 3*sqrt(133)\/(sqrt(7) + (sqrt(7) - -2*sqrt(700))).\nAnswer: 19*sqrt(19)\/22 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -162, -2 in descending order.\nAnswer: 7, -1, -2, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 15*w + 20. Determine i(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 7*w + 4918. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*o = 131*o - 379938. List the prime factors of o.\nAnswer: 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*sqrt(162) - 4*sqrt(162)*2 - (0 + (sqrt(162) - (2 + sqrt(162)))**2 + -4).\nAnswer: -144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9542, -9538, -9534?\n\"Answer: 4*s - 9546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggykkkk. Give prob of sequence gg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -5*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5471010 by 6.\nAnswer: 911835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9465000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*g + 0*g = 0, g = 3*w + 4. Let r = 5 - w. Let a = 12 - r. Solve -a*q - 2 = 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3640)\/(-195)*(-36)\/42.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 13. Let j(x) = -x**3 + 3*x**2 + x + 2. Let f be j(4). Let y be b(f). Solve -4*a + 6*a + 2*u + 4 = 0, y*a - 4*u + 27 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 90 = 50 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 7 - 3. Suppose -h - 112 = 2*k - d, -3*d = -6. Let l be (-1 - 0)\/((-15)\/k). Let z(c) = -c**3 - 4*c**2 - 3*c - 5. What is z(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-26) + 81795\/(-429) + (-24)\/132. Which is the second biggest value? (a) 1.1 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -4*b**3\/3 + 3*b**2\/2 + 122*b. Let r(u) = -4*u + 3. Let f(c) = -2*h(c) + 3*r(c). Let g = 4 - 6. Calculate f(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**2 + 2*t - 18. Let h(z) = z**3 - 23*z**2 - 26*z + 57. Let n be h(24). Determine m(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (sqrt(1573) - (1 + sqrt(1573))) + sqrt(1573)*-2*3 + -3)**2*-5.\nAnswer: -850635 - 17820*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1832*j**2 - 5722*j**2 - 9109*j**2.\nAnswer: -12999*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**22))\/(z*z**(2\/21)) assuming z is positive.\nAnswer: z**(439\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-1)\/((-90)\/(-5))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, g: 2, v: 4, w: 5}. Give prob of sequence wg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 281878 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 736307347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 57374*p + 12851757. Calculate h(-224).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -4 (c) -1 (d) -21 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.9. Let i = -82 + 80. What is the closest to -1 in -0.3, i, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1. What is the units digit of q + 0\/(-2) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 a factor of 172175707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1489300 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2. Let b(g) = -25*g**2. Let u(z) = -6*b(z) + 35*p(z). Let y(k) = 122*k. Calculate u(y(i)).\nAnswer: 148840*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 5*n - 4*n. Let p(j) be the first derivative of j**5\/60 - 4*j**2 + 2. Let m(b) be the second derivative of p(b). Calculate s(m(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*j + 62. Suppose 362 = -4*f + 62. Let n = j - f. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19397243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 6)*(-3*u**3 - 7*u**3 + 2*u**3)*(-2*u - 1 + 1) in the form i + d*u + c*u**3 + s*u**2 + b*u**4 and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1063? (a) -0.339 (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*r + 5, p - 6*r + 9*r = 15. Solve -4*v - 2*b + 7 + 5 = 0, -p*v + 8 = b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58097386.\nAnswer: 2, 43, 675551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1.7 (c) -1\/15 (d) 5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*w + 132 - 91 + 775 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2593 is divided by 1983.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = q - 6*r - 146, -q = 3*r - 131. Let k = 4382 - 4380. Suppose k*u = -3*u + q. What is the lowest common multiple of u and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 23*s + 63 + 22 + 44 - 18 - 25*s.\nAnswer: 5*s + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3317 is divided by 305.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-3 + (sqrt(1300) - (sqrt(1300) + -2)) + 5*(sqrt(1300) + sqrt(1300)*-3 + sqrt(1300) + sqrt(1300)))*2 + -3)*1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 537565.28 rounded to the nearest 100?\nAnswer: 537600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 24647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 87258, 87260, 87262, 87264?\n\"Answer: 2*c + 87256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 864 and 35850502.\nAnswer: 35851366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24003*v + 437 = -23980*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29093 and 2.\nAnswer: 58186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16815215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u. Let o(t) = 3*t**2 + 15*t**2 - 10*t**2 + 2*t**2. Calculate o(v(f)).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/11*(-1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 403.5 - 403. What is the nearest to 0.1 in -0.2, r, 7, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 11*u**2 + 27*u - 22. Let j be o(9). Suppose -130 = -2*m - 4*g, 4*m = 3*m + 4*g + j. Do 63 and m have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.89876 + 0.08924. Let i = -35 + d. Round i to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 16 = -3*d. Let g(i) = -5*i - 13. Is g(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 800279.68 + 0.2.\nAnswer: 800279.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 52 = 23*a. Suppose -3*y + 3*d = -3, -d = 5*y + 2*d - a. Solve -p + y*p = -5*k + 20, -2*p = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869766 is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/35 and 1\/1512.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*d + 10, -2*d + 4*d = 4. What is the least common multiple of m and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3, 29 in decreasing order.\nAnswer: 29, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3885272197 to the power of 1\/2, to the nearest integer?\nAnswer: 62332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 12*n + 3. Let k be m(-10). Suppose -k*l + 3376 = -15*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3222395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 6*f**2 - f - 30. Let k be d(-7). What is the greatest common divisor of k and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -11*u + 560. Suppose 0 = -5*n + 3*w + u, 0 = 5*n + 2*w + 3*w - 70. Suppose -6*b + 4*b + 3*y = -16, -5*b + y + n = 0. Solve 0 = 4*p - b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 120 (b) 2\/11 (c) -0.3 (d) 0.2 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -10, -519 in decreasing order.\nAnswer: -3, -5, -10, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00489839 to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9313003, -9312978, -9312953, -9312928?\n\"Answer: 25*p - 9313028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21\/17 + 46\/51. Sort q, -1\/4, -108.\nAnswer: -108, q, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41*-7931\nAnswer: 325171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1123*o - 14185 = 824*o - 90118 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -6)\/(-1 - -2). Let g = o + -3. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51261.73 nanometers to micrometers.\nAnswer: 51.26173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - -2) + -7 - (-79 + 32)) + 11?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 2*u + 2*u)*(0*u + 5*u - 3*u) + (-190 - 208 - 2054*u + 398)*(4*u + 3*u - 5*u).\nAnswer: -4116*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/17)\/m*(m**(1\/5)\/m)\/m)**(1\/20)*(m**10\/((m\/(m*m\/(m*m**(-8)*m*m)*m*m))\/m))**(-13\/2) assuming m is positive.\nAnswer: m**(-105049\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(sqrt(175) + -2) + (sqrt(28) + 1 - (-3 + sqrt(567))))**2.\nAnswer: -252*sqrt(7) + 2317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 + -1332146.778.\nAnswer: -1332129.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a. Let o(m) = -380*m. Determine 20*c(x) + o(x).\nAnswer: -460*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189540 and 8097732?\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-12)*5\/10*12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 + (-26 - 6))\/((105\/(-50))\/7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 1\/6*y**3 - 1\/60*y**5 + 1\/24*y**4 + 0*y + y**2 + 0. What is the units digit of h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7349, -14859, -22369, -29879?\nAnswer: -37389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/13671 and 18\/3503?\nAnswer: 1544823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 230*q**2 + 110*q - 5\/2.\nAnswer: 5*(2*q + 1)*(46*q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 24*u + 112. Give w(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b - 9. Let q be h(-8). Suppose -5*a + 8*a - q = 0. Put 3, -2, a in increasing order.\nAnswer: -2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28818, 115255, 259312, 460995, 720310, 1037263?\n\"Answer: o**3 + 28804*o**2 + 18*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(9 - -33))\/((-154)\/(-385)*10\/1464)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 4*g - 9*g - 2*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070948560?\nAnswer: 2, 5, 67, 386371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.02 - 0.02. Let h = -0.9 - 2.1. Let l = h + r. Sort 0.2, l, -4 in descending order.\nAnswer: 0.2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2159*a + 8226. Give d(-4).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 70\/29 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 2*n**2 - 9*n**3 + n**2.\nAnswer: -9*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 12*p**3 + 283*p**2 + 166*p + 292. Calculate y(-23).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8*(-267 - -15) + 0. Solve l*z - 61*z = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1007008 (base 14) to base 2.\nAnswer: -11100110010111101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 6*y = -66. Put -2, -0.4, y in descending order.\nAnswer: y, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 23. Let w be r(13). Suppose 2*c = -w, p - 2*p + c = -133. Let g(q) = 9 - 263*q + 132*q + p*q. Calculate g(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 19*q - 68. Suppose -8*u - 51 = -13*u + 4*z, 2*u = -q*z + 2. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.032 + 0.032. Let y = j + 21. Let k(r) = 3*r**2 + r + 1. Let t be k(-1). What is the smallest value in 2, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**5 + 47202*a**4 + 897702*a**3 + 3449808*a**2 + 1559925*a - 5954634 = 0.\nAnswer: -14, -3, 1, 15753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-66 + 28)) + -47 - (-7 - -55).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 133, 125?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 5086*n**2 - 4*n + 2*n.\nAnswer: -5086*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9702 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 135 = y - 4*t, 2*y - 4*t = 330. Suppose -u + 196 = a, -2*a + y + 36 = u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12385 - 12370. Solve 5*a + 5*v + u = 0, -a + 3*a = -5*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 2. Let r(m) = m**2 + 1. Let a(h) = -6*r(h) - 3*u(h). Let p(j) = -5*j**2. Give a(p(q)).\nAnswer: -300*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -3, 1, -20 in decreasing order.\nAnswer: 6, 1, 0, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 12*o**2 - 32*o**2)*(20*o**3 + 91*o**3 + 15*o**3 - 19*o**3).\nAnswer: -4601*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(-2\/83)\/(j*j**(2\/5)*j)**(-26))\/((j**(-5)*j**4)\/((j*j\/(j**(1\/2)*j))\/j)**(-2\/13)) assuming j is positive.\nAnswer: j**(2396946\/37765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 7:08 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 436 + 451 = y, -3*l - 5 = 4*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3 - (-32)\/24\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 29*l**2. Let k(m) = 563932*m. Give p(k(s)).\nAnswer: 9222559718096*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Put -1, i, -2\/7, 0 in descending order.\nAnswer: i, 0, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**11*s**(-2\/21)*s assuming s is positive.\nAnswer: s**(250\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -289\/100 - -66\/25. Is 231 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11724454633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -281, -277, -273?\n\"Answer: 4*d - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsgsgjqqsgssqgjgjgss. Give prob of picking 2 j.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/9)\/(1\/(-6)). Let t = 11456\/11 + -1039. Calculate the common denominator of t and -1 - b\/(84\/(-171)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110111 + 1001001000000010010?\nAnswer: 1001001100000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -0.3, 2\/13, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/8)*c)\/c*c**(-6))\/(c**(-2\/9)*c*(c*c\/c**1)\/c)*c**(2\/11)\/c**(-2)*(c*c\/c**(-2\/7))**(-1\/14) assuming c is positive.\nAnswer: c**(-141037\/38808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 24.7.\nAnswer: 222.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 f, and 2 r when four letters picked without replacement from gocgfgocrggccorcrr.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-8)))\/r*r**(-7))\/(r\/((((r\/r**5)\/r)\/r)\/r*r*r)*(r*r\/(r\/(r\/(r*r\/(r*(r\/r**(-4))\/r*r)))))\/r*r) assuming r is positive.\nAnswer: r**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - 7*g - 7*g - 252*g - 295 + 295 + (-g - 1 + 1)*(-2 + 2 - 2) - 3*g + 6*g - 4*g.\nAnswer: -266*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o - 124*o**3 - 118*o**3 + 241*o**3 + 4*o - 4*o - 7*o**2. Give c(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 68476 = -3*i + 1477, 5*u - 111663 = 3*i. Suppose 512*w - 508*w - u = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10 = -5*t + 5, -4*t + 12 = -4*n. Let 32*b + 13*b - 10 - 70*b**t - 5*b + 2 - 22*b**2 = 0. Calculate b.\nAnswer: -1, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f**27*f)))\/f**(4\/3))**(3\/37))**28 assuming f is positive.\nAnswer: f**(2324\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - 3b?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -6, 3\/4, -2\/11, -12531, -2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -22*a**3 + 12*a**2 - 27*a - 5. Let y(o) = 22*o**3 - 10*o**2 + 27*o + 4. Let p(u) = 4*i(u) + 5*y(u). What is the third derivative of p(f) wrt f?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(30) + sqrt(30)*-3)\/sqrt(5))\/(sqrt(288) + (sqrt(288) - ((sqrt(288) - (sqrt(288)*-5 - sqrt(288))) + sqrt(288))) - sqrt(288)) + 3.\nAnswer: -sqrt(3)\/42 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 760 (base 14) to base 6.\nAnswer: 10424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20838 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85713.83ug to grams.\nAnswer: 0.08571383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 61938.13?\nAnswer: 123876.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -885 = -12*a - 105. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3017040 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -37, 74, 2.\nAnswer: -37, -5, 2, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {n: 1, l: 6, m: 11}.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let s be (5 - h\/(-1))*-1. What is the remainder when 16 is divided by s*(36\/(-5))\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 523748 and 44831.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r - 8. Let h be t(-6). Let y = h - 15. Suppose -y = -5*s + 4*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.70000068 + -2.7. What is t rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146762 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 35*h - 1413. Let i be l(24). Solve 3*s + 6*p - p + 12 = 0, -3*s + 12 = -i*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -112*h - 2691. Give r(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 166\/792 - (-3)\/(99\/(-6)). What is the nearest to -1\/3 in -0.4, 4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 15, n: 3}. Give prob of sequence fna.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20)*(360\/(-32))\/9.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84790680 and 1808?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605013312 divided by -6?\nAnswer: -100835552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 32*k = -6*k - 162 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + 5.6. Let d = n - 5.3. Let h = 31.845 - 26.845. What is the third biggest value in -1\/6, h, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 r when three letters picked without replacement from {r: 1, d: 1, m: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (2 + (-3 - 3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = 22 + 22. Let a be (-1 + (-1122)\/g)*2. Let k = a - -1870. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 divided by -717237?\nAnswer: 86\/239079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 31. What is the common denominator of 113\/6 and j + 2 + (306\/(-93) - -1)?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -140, -271, -442?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - (-31020)\/21) + (-1)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3736 is divided by 3702?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.211 - 0.26. Let f = -7.951 + o. Let w = 8.14 + f. What is the smallest value in 0, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 3140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16704 divided by 29.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((-43)\/(5848\/306))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from hsasgnhsssxsagssghs?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55, 64, 77, 94?\n\"Answer: 2*h**2 + 3*h + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (797\/(2144727\/(-1196)))\/((-32)\/54).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6051633653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2, 5, 26449 in descending order.\nAnswer: 26449, 5, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20934.74l in millilitres?\nAnswer: 20934740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -577600*w**4\/7 - 26590880*w**3\/7 - 278293956*w**2\/7 + 638670952*w\/7 - 333208516\/7 = 0.\nAnswer: -9127\/380, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 498*h + 64*h**3 - 498*h + 0*h**3 - 4*h**3 + 3*h**3 - 2*h**3 + 0 + 0 + (-h - h**2 + h)*(-4*h + 2*h + 3*h).\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 0*z + z + (1 + 2 - 1)*(16*z + 7*z - z) to j*z + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 29. Suppose -9*x = -6*x - v. Suppose 0 = -2*k - 0*k. Solve 4*n + 0*n - 5*b = -3, -4*n + x*b = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361222 is divided by 120403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 15) to base 4.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 18 = -2*q, -q - 5*y = 14 + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103791 is divided by 120.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(39\/(-80)) + (-1192)\/(-447)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u. Let g(p) = -13*p + 1. Let k(j) = 2*g(j) + 9*t(j). Let x be k(-5). Let a(r) = -74*r - 12. List the prime factors of a(x).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -4, -7469 in increasing order.\nAnswer: -7469, -9, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 37*v - 5*m - 20740 = 0, m = -3*v + 31059. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1676 by 838.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 595 = 909. Suppose -18*n + 22*n = d. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 413 + -276. Let i = -165.5 + q. Let k = i + 28. What is the second biggest value in 2\/3, 2, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let i be g(-4). Let c = i - -3. Let r be ((-51)\/(-12))\/(c\/400). What is r rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -184 - -189. Solve 3*u - y = -s, -20 = u + 5*s - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 27999024.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(315\/6))\/((-1)\/(-3))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1478450 and 6653025?\nAnswer: 13306050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101220 + -2002001?\nAnswer: -200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12370 divided by -5\nAnswer: -2474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 259 = -262 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5544 and 4851.\nAnswer: 38808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Let i = -3.01 + 0.01. Suppose m = -2*m + 4*b - 1, -5*b = 10. What is the nearest to i in w, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 2898bcd?\nAnswer: -2898bc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/476 and -65\/306.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -6 + 1 + 110*v**4 - 111*v**4 + 17 - 10*v**2. Find the second derivative of x(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7098374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*p + 243. Let j = -88 - 46. Let v = j + p. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 37.98 from 191732.118113.\nAnswer: 191694.138113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z - 9. Let x(k) = k**2 + 5*k - 8. Suppose -2*a + 0 - 14 = 0. Let b be x(a). Let j be o(b). Solve -6 = -v - j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17*p**3 + 23*p - 42. Let h(n) = -8*n**3 - 11*n + 20. Calculate -13*h(y) - 6*w(y).\nAnswer: 2*y**3 + 5*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - l = -606, -263 = 5*o + l + 341. Is o at least as big as -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = 11*j - 4*b - 82, -9*j + 9*j = -17*j - 4*b + 86 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -203 - -225. Suppose -3*f + n*f = 11761. What are the prime factors of f?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 64846047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 + 3)*(-2*v**2 - 2 + 2)*(-9*v + 5 + 11 - 15).\nAnswer: 144*v**3 - 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/48*36\/18.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 147*p - 6. Let r be l(2). Suppose -2*s - 2*z = -r, s - z - z = 153. Let o = s - -15. Calculate the greatest common divisor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = -12. Let g be ((-12)\/(-9))\/((-2)\/u). Suppose -4*h + 13 = 1. Solve -p = 3*j - j + h, -g = -2*p - 2*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.73 and 46286522624.\nAnswer: 46286522623.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/27*(7 + 121\/(-22))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6 times -0.8?\nAnswer: -20.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 - 3 + 3)*(-3 - 1 + 1)*(0 + 0 - 2).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458519949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 4*p**3 + 7*p**3 - 6*p**3.\nAnswer: 5*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 5*j + 1. Let k = 352 + -304. Let p be ((-15)\/2)\/(k\/(-32)). Determine x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 44*y**2 + 24*y - 17. Let u(d) = -30*d**2 - 17*d + 11. Give 7*u(q) + 5*z(q).\nAnswer: 10*q**2 + q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.1 + 9. Let f = n + 0.9. Let j = 3 - 0. Put j, 0.4, f in ascending order.\nAnswer: f, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20021111201201 (base 3) to base 6\nAnswer: 155302244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 1. Let u(n) = -n + 1. Let a = 220 - 128. Let y = a - 94. What is y*u(r) + 2*v(r)?\nAnswer: -2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.99953 - 0.1?\nAnswer: 19.89953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 8868*y + 8872.\nAnswer: -4*(y - 2218)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (231\/(-14))\/(-33)*(-2)\/(-32).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x + x**2 + 0*x - 5 + 15*x - x. What is d(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -27. Let r = 30.6 + v. What is r rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 763*u - 763. Let s be n(1). Solve -3*d + 45*d + 294 = s for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229109671 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + 1*(sqrt(2057) - sqrt(2057)*-2) + -3*sqrt(2057)*-3 + 5)**2*2.\nAnswer: 1777248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270320 and 275466?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 357 and 1127865?\nAnswer: 7895055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16*z - 6. Let c be a(1). Suppose 5*s + 15 = c*s. Solve 0 = -s*l - 4 - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 105 - 77. Solve -2*f + 2*q = 8, -2*f - 8 - d = 2*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k - 2*k + k)*(-2 - 4 + 3) + 3*k + 2 - 2 to the form s + n*k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -135*m**3 - 2780*m**2 + 520*m + 2780. Let c(s) = -5*s**3 - 103*s**2 + 19*s + 103. Let a(r) = -2*b(r) + 55*c(r). Factor a(p).\nAnswer: -5*(p - 1)*(p + 1)*(p + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3798 = 3818 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**5\/60 + p**4\/6 - 2*p**3\/3 - p**2 + p. Let w(n) be the first derivative of x(n). Calculate w(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 4) in base 8?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6921069095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1125))\/(1*sqrt(324) + sqrt(9)).\nAnswer: -5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2231 + 231?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 477515*p**2 + 316065 with respect to p.\nAnswer: 955030*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/295 - 63\/295. Which is the closest to j? (a) -3 (b) -20 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-9) - 43\/(-9). Suppose 0 = m*w + 2*k - 15, -k = -2*w - 0*k + 15. Find the second derivative of 2*l + 8*l**5 + 2*l - 25*l**w - 13*l wrt l.\nAnswer: -340*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2784726278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/35 + 2*r**4\/21 + 7*r. Determine o so that p(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14170\/11 - 1289. What is the common denominator of q and 23\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 13, 0, -4 in descending order.\nAnswer: 13, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4878 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275543.\nAnswer: 275543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/2 - 19*o**3 + 36*o**2 = 0.\nAnswer: 0, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 12*h - 22. Let a be r(6). Solve -2*g = -3*c + a, -17 - 1 = 2*g - 5*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-68)\/18 + -3 + 100\/36. What is the nearest to 4 in -0.4, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -283*m**4 + 2743*m**2 - 1883414*m.\nAnswer: -3396*m**2 + 5486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153) + 1)*-5.\nAnswer: -5 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let m(g) = -5648015*g**2 - 5*g. Determine m(y(d)).\nAnswer: -5648015*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 2*m - 4. Let l(p) = p**3 + p**2 + 4. Let q be l(0). Let u be g(q). Suppose u*a - 3 = 5. Solve n + n = -a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21143.83 nanometers?\nAnswer: 0.002114383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 111*j - 1. Let d(p) = 11. Let r(s) = s**2 - 44. Let z(w) = -4*d(w) - r(w). What is z(q(k))?\nAnswer: -12321*k**2 + 222*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50764*a**2 - 2*a - 178922 wrt a.\nAnswer: 101528*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 900 = 5*q, 0*q + 3*z + 188 = q. What is the units digit of q\/((5 - 3) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 3*w**2 - 8*w - 3. Let u(c) = c**3 + c**2 + c + 1. Suppose -169*h + 202*h - 99 = 0. What is h*u(f) + q(f)?\nAnswer: f**3 - 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**2*r**3*t - 5*f**2*r**2*t - 5*f**2*r*t + 13*f**2*t + 57933*r**4 - 16*r**3*t - 4*r**2 wrt r.\nAnswer: 12*f**2*t + 1390392*r - 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 55, 2, -49, -98?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -299 - -467. Calculate the greatest common divisor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 - 2*d. Let p(i) = -i. Let o(u) be the third derivative of u**4\/24 - 5*u**3\/6 + 3*u**2. Let t be o(4). Give t*l(g) + 2*p(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iajj when four letters picked without replacement from {a: 6, i: 6, j: 3, f: 2, u: 2}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34152282.\nAnswer: 2, 3, 1013, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59966493?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/66 and 149\/708.\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 16*p**2 + 54*p + 252. What are the prime factors of j(-5)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 6, 2*i + 0 = 2*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1739751 (base 10) to base 11.\nAnswer: a89112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v\/v**(-3\/7)))\/v)**(2\/103)\/((v**(1\/5)\/v*v)\/v**(1\/6)))**(-42\/13) assuming v is positive.\nAnswer: v**(901\/6695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1754 divided by 153484?\nAnswer: -877\/76742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5031 - 1051?\nAnswer: -6112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*d - 24, -2*d = -3*g - 7*d + 32. Suppose -g*u = -0*u - 96. What is the remainder when 69 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2890807 is divided by 186.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + i = -3*i - 24, -27 = -f + i. Suppose 0 = p + 9 - 21. Calculate the highest common factor of p and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1053991 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - q**2 - q**2 - 2*q**2 + q**2 - q**2 + (q - 2 + 2)*(1 - 2*q - 1).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**6\/120 - f**5\/20 - f**4\/24 + f**3\/2 + 9*f**2\/8 - 14*f. Factor p(x).\nAnswer: (x - 3)**2*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245) + 4 + -2 + -1*(sqrt(245) + sqrt(245)*-1 + -3))**2.\nAnswer: -140*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62930952 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 0?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 326 and 503018?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5\/2 - 15*c**4 + 30*c**3 - 25*c**2 + 15*c\/2.\nAnswer: 5*c*(c - 3)*(c - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/((-37)\/(-37)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.04 + 6. Let v = z + 2.04. Let f = 616 - 616.2. Which is the closest to v? (a) f (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = m + 49, 4*n - 3*m - 29 = 43. Suppose n*o - 13*o = 146. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*o**3*s**3 + 22*o**3*s - o**2*s**2 - o*s + 60*o - 15*s**2 wrt s?\nAnswer: -912*o**3*s - 2*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, -50, 7, -9, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 27*b - 4916. Let a(q) = -129*q. What is a(j(r))?\nAnswer: -3483*r + 634164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/4 - 9*x**2\/4 - 75*x\/4 - 63\/4.\nAnswer: 3*(x - 7)*(x + 1)*(x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 110.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, h: 3}. What is prob of picking 1 h and 3 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**4 - 155*v**3 + 435*v**2 + 14155*v - 14440 = 0 for v.\nAnswer: -8, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5537 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 501\/481 - 30\/37. Is 1 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-104 - -38) + 26 + 13\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 238486 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*q - 29*q + 10. Suppose 3*t + 12 = -0, 2*f - 72966 = -q*t. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u + 261 + 126 = -85*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/97 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 1. Let z(u) = u. Let p(a) = -3*f(a) - 2*z(a). Let q(w) = -12*w - 32. Let y(l) = -32*p(l) - 3*q(l). Let r(h) = -h. What is -14*r(b) - 4*y(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1920, -7726, -17410, -30972, -48412, -69730, -94926?\nAnswer: -124000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782778.\nAnswer: 2, 3, 283, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = y + 3*g - 4, 3*y - 12 = 2*g. Suppose -3*a + 2*a + 8 = -l, 0 = -a + y*l + 23. Factor -z**a + 2*z + 0 - z - z**2 + 1.\nAnswer: -(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 843292165432 - 0.2.\nAnswer: 843292165431.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85638*x**6 - x**4 + 165912*x**2?\nAnswer: 10276560*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.01, 10 in increasing order.\nAnswer: -0.01, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(-9))))**(-4\/23)*v**(-11)\/(v*v**(5\/3)) assuming v is positive.\nAnswer: v**(-847\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -14 + 1 - -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + g**2 + 2*g**2 + 2)*(7 + 1 - 4) + (-1 + g + 1)*(g + 0*g + g).\nAnswer: 22*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -94035.10803 - -203\nAnswer: -93832.10803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 41. Let r = n - 11.3. Let g = 6934 + -6933.8. What is the second biggest value in r, -2\/9, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w. Suppose -3*q - 28 = q. Let x(h) = 5*h. Let j(s) = q*x(s) + 4*t(s). Let f(c) = 2*c**2. What is j(f(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 11*f**2 - 12*f + 2. Let s = 8 - 8. Suppose s = -0*r + r + 12. Let h be y(r). Solve v = -0*v - h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11578214081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, -56, -75, -92, -107, -120, -131?\n\"Answer: m**2 - 24*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1 + 0*v - 5 + 3*v. Let g be (0 + -1)*(-191 + -2). Let i(s) = -g + 100 - 2*s + 98. Determine -5*i(j) - 4*q(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 6*q**2 - 5*q - 5. Let j be h(-5). What is the highest common divisor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d. Suppose d = -2*r + 3*r - 119. Let q be (251\/(-1506))\/(1\/(-42)). Calculate the greatest common divisor of r and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0769 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.6 + 0.4. Let t = 6 - w. Let h = -1114 + 1114. Which is the closest to 0.3? (a) 0.5 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q - 40. Let l be u(9). Suppose -56604 = -4*j + n - 13315, n = -l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 7*z**2 - z - 5. Let s be m(-7). What is the third derivative of -4*v**4 + 14*v**2 + 7*v**4 + 12*v**s - 33*v**2 wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -7\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -859855\nAnswer: 9\/859855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 3*x**3 + x**3 + x**2)*(9*x**2 + 6*x**2 - 7*x**2).\nAnswer: 16*x**5 + 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2 - (-76)\/19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -23*y**4 - 6*y**2 + 6*y + 25. Let j(a) = a**4 + a**2 - a - 1. Let v(o) = 6*j(o) + r(o). Find the first derivative of v(s) wrt s.\nAnswer: -68*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*x = 287*x + 210 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7384.451g in micrograms?\nAnswer: 7384451000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**6\/120 + 3*w**5\/20 - 7*w**4\/24 + w**3\/6 + w**2. Let d(y) = y + 16. Let n be d(-8). What are the prime factors of v(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-2)*(8\/10)\/((-2)\/5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -419 + 364.8. Let v = 54 + z. Which is the third biggest value? (a) 5 (b) v (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - y + 0*y - 5 = 0, 8 = b - 2*y. Let r = 2 + b. Factor 6*k**4 - r + 5*k**3 + 5*k**3 - 10*k + 3*k**2 - 5*k**2.\nAnswer: 2*(k - 1)*(k + 1)**2*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -92 - -3?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = 2*b, 32 = r + b. Let j = 66 - r. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/((-1317810)\/5031) - (-1)\/(-10).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -3*p + p. Let u = p + 69. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385482569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25207 - 25211. What is the smallest value in 2.2, -2\/5, j, -2\/281?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.42? (a) 0.1 (b) -0.4 (c) -0.1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20256332483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1.72. Let m = k + 0.28. Suppose -17*s - 20 = -22*s. Sort s, m, 2\/9 in ascending order.\nAnswer: 2\/9, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 2*j = 9*y - 1570, 3*j = -5*y + 7857. Suppose -10*t + 8358 = -y. Is 37 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 2 (c) -0.5 (d) 9 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -3551?\nAnswer: -28408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**2 + 277384*q + 277388 = 0.\nAnswer: -1, 69347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -283\/3 (b) 39 (c) 0.016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1005, -10\/39, -0.1 in decreasing order.\nAnswer: 3, 0, -0.1, -10\/39, -1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*p + 1, 3*n - 10 = -2*p + 1. Suppose -5 - 15 = -n*z. Suppose 2*j + 3*q + 5 = 3*j, 0 = -4*q - 4. Solve 5*y - j = -2*k, 2*k + 0*k = z*y - 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 1052979*s - 1052982.\nAnswer: 3*(s - 1)*(s + 350994)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -34*m - 18. Let d be g(-7). Suppose -15*v + 455 = -d. Suppose 0 = -3*k - 24 + v. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b\/((b*b*(((b\/(b**(-2\/11)\/b))\/b)\/b)\/b)\/b))*b)*b*b)**46)**(2\/147) assuming b is positive.\nAnswer: b**(2852\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i, i = 6*l - 2*l - 3. Suppose 13 = -6*u + 133. Let f be 3\/6 - ((-18)\/u + 1). Put l, f, -0.1 in descending order.\nAnswer: l, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -2*k**6\/15 + 2*k**4\/3 + 5*k + 3. Let m(o) be the first derivative of r(o). What is the third derivative of m(x) wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*x - 16*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/29, 0, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*f - 2539, 6*n = 3*f - f - 1020. Calculate the highest common divisor of f and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -557 + 907. Let a = 1196 - 670. Let g = a - y. Calculate the highest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171847 = -5*h + 9047. Let c be 2\/(-3) + h\/(-330). Calculate the highest common factor of c and 637.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -47*m - 103 - 13 + 8. What are the prime factors of p(-16)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2656*g + 638. Let p(z) = -531*z + 136. Give -3*i(m) + 14*p(m).\nAnswer: 534*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 97 - 157. Solve 0 = -3*n + 2*w - 0 + s, 0 = 3*n - w - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - 3*(-24)\/18. What is the remainder when 67 is divided by 1\/(c\/(-4)) - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -3*1\/(-3). Suppose 0*a + c*a = -65. Let o = -7 - a. Solve o = -y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2172*n + 1015. Is l(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*l = 7*l - 385, 2*z = -4*l + 152. Suppose z = 8*s - 90. Calculate the remainder when 209 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 650, -4, 4, 1 in decreasing order.\nAnswer: 650, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**5 + 1482193*l**4 + 2*l**3 - 156808428*l**2 - 2*l?\nAnswer: 240*l**2 + 35572632*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - 2.95. Let x = 77759\/10 + -7776. Which is the nearest to 1? (a) x (b) 2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.6 - -8. Let y = 0.2 - m. Let a = y - 0.7999988. Round a to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/((-140)\/(-30)). Let w be 334\/(-4)*(-6)\/(-36). Let f = 14 + w. Put v, 4, f in descending order.\nAnswer: 4, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d + h - 113 = 0, -5*d - 3*h + 282 = 0. Suppose -d*y + 9 = -54*y. Solve -2*m - y*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.091 and 498.\nAnswer: 497.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84.3474 and -2.5?\nAnswer: -210.8685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 31*s + 14 = 0. Let g(v) = 701*v**2 + v + 2. What is the hundreds digit of g(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 765*g**2 + 4175*g + 10550. Give z(-377).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y. Let m(h) be the first derivative of -h**2 + 1. What is k(m(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 7, 10, 1, 4, -3, -97 in increasing order.\nAnswer: -97, -3, 1, 4, 7, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -852354 - -3391151\/4. Let z = k - -4544. What is the common denominator of 18\/23 and z?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3460 (base 7) to base 9\nAnswer: -1657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*z + 6*z. Calculate the least common multiple of 5 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from nnaaannaaanatnaaaa?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 + -1.8. Let y = 52.5 - 53. Which is the second smallest value? (a) f (b) -5 (c) 2\/17 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g**2. Let i = -11 - -9. Let y be i\/4 - (-14714)\/28. Let a(h) = -y - 2*h**2 + 525. Determine a(f(o)).\nAnswer: -242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 7. Let q(j) = 1. Let w(p) = -o(p) + q(p). Calculate w(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 2*g**3 + g**3)*(-2*g**2 - 30*g + g**2 + 26*g)*(-3 + 6 - 1).\nAnswer: -4*g**5 - 16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4 + (12642\/(-60))\/49?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41598711 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 21*s**2 + 24*s - 38. Calculate y(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) - (-4 - 618\/15). Let y be 4\/(20\/j) - -3. What is the second derivative of 3*l**4 - y*l - 2*l - l**4 wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 3) to base 13\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 2*l + 3. Let d(t) = 2*t**2 - 2*t - 4. Let h(c) = 4*d(c) + 6*u(c). Give h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t + 1. Let j = 285 - 402. Let p = -67 - j. What is the remainder when p is divided by b(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -60, -121, -184, -249?\n\"Answer: -x**2 - 58*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -278*i - 41158. Determine s(-148).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2 + 126\/9. What is the greatest common divisor of d and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 1, k: 1, j: 1, d: 1}. Give prob of sequence jk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029349952 to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/3433456 and 67\/34306.\nAnswer: 3464357104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h - 4*k = -4, 4*h - 4*k = 12. Let g(f) = -3 - 2*f - 1 + 3. What is g(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -5 (c) 4\/335 (d) 16\/15 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14681, 29362, 44043, 58724, 73405, 88086?\nAnswer: 102767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17739 divided by -292.\nAnswer: 243\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1032*q**6 + 2660*q**4 + 13317*q**2 - 53*q + 4?\nAnswer: 123840*q**3 + 63840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1260 (base 9) to base 3\nAnswer: 1022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2856, 11400, 25634, 45552, 71148, 102416, 139350?\nAnswer: 181944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.58 to one dp.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m - 31. What is p(8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -336.6 - 9.\nAnswer: -345.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1a9 (base 13) to base 3\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15289*n - 12. Let w(x) = -14509185*x + 11390. Determine 5695*k(r) + 6*w(r).\nAnswer: 15745*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 10*u**2 + 11*u - 1. List the prime factors of s(-8).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3714 (base 13) to base 14\nAnswer: 2ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 110, 158, 204, 248?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1135\/4 + 283. Which is the fourth biggest value? (a) 18 (b) -4 (c) p (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 295*w**2 + 14*w + 33. Is n(-2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 1 = -16*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 x when four letters picked without replacement from {r: 6, y: 1, x: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(5\/8)*z*(z**(-3\/11)*z)\/z assuming z is positive.\nAnswer: z**(119\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2*1\/6). Let h be 4\/(0 + -4) - -13. Suppose 24 = p*d - h. What is the highest common divisor of 18 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 901*f + 69360. Calculate c(-77).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/2 - 115460*j + 6665505800 = 0.\nAnswer: 115460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 10*c**5 - 255*c**4\/4 + 25*c**3\/3 + 459. Let n(z) = 0. What is z?\nAnswer: 0, 1\/10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u + 9. Let m(h) = 15*h + 17. What is -6*m(a) + 11*t(a)?\nAnswer: -13*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*w + 2663 = -1177 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + 13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/2, -5, 2\/9, 294 in decreasing order.\nAnswer: 294, 2\/9, 0, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12587464 and 3982?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.3, -0.89?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/255597 and -83\/15.\nAnswer: 1277985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(1\/13))\/p**6*(p\/(p\/((p\/(p*p**12*p))\/p))*p)\/(p\/(p*p*p**6*p)) assuming p is positive.\nAnswer: p**(-116\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*n + 96 = 200*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**5\/20 + u**4\/4 + u**3\/2 + u**2\/2 - 4. Let d(h) be the second derivative of o(h). Solve d(c) = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.19 or -227.3?\nAnswer: -227.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31978 - 31978.0000024899. Round j to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040607241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110681*k**3 - 440*k - 95?\nAnswer: 664086*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)*10\/40*2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*h + 455 + 78*h - 391)*(1 - 7 - 5).\nAnswer: -22*h - 704","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -457 + 1655. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -32636, -65273, -97910, -130547?\nAnswer: -163184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 8 = 4*v. List the prime factors of v\/30 - (-157)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3))**28*(s**(-4))**(2\/37) assuming s is positive.\nAnswer: s**(-1060\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41234 is divided by 1031?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 30. What is the second smallest value in r, 15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -288*o + 70606. What is l(245)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 6*p - 1. Let a be g(-7). Let v(r) = r**2 + 11*r + 23. Let u be v(a). Let j be 2\/3 - (-55)\/(-15). Sort -5, j, u in ascending order.\nAnswer: -5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + (sqrt(78) + (sqrt(78) - (sqrt(78) - sqrt(78)*-1 - sqrt(78))))\/sqrt(6))**2 - (sqrt(130)*2*-2 - sqrt(130))\/sqrt(10)).\nAnswer: 16 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43840000 rounded to the nearest 1000000?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-25) + 17774\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 6:51 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1764 and 139797?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-7 - 19 - -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 + 3*l**2 + 11*l**2 - 3*l + 0*l.\nAnswer: 18*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/470 and 35\/141.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 8 - 25 + 13*r - 10*r.\nAnswer: 14*r - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1765723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15746*i**2 + 15746*i**2 - 25*i**3)*(2*i + 0*i - i) to n*i + v*i**3 + g*i**4 + u + w*i**2 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g - 66. Let d be t(-15). Suppose d*n - 180 = 72*n. What is the greatest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55.718906 + -0.064906. Round a to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17387 is divided by 151?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 7 - 3. Suppose 5*s + m = 7*s. Solve 5*k + d - 2 = 1, -3*k = -d - s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -217, -6, 3, 0.6, -5, 0 in increasing order.\nAnswer: -217, -6, -5, 0, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 1, e: 6, o: 9}. What is prob of picking 1 m and 1 e?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(3\/8)*b)\/b)\/b)\/b**(2\/3)*(((b\/((b**5\/b*b)\/b*b))\/b)\/b)\/((b*b*b**(-8))\/b) assuming b is positive.\nAnswer: b**(17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/3062? (a) -10 (b) -0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 594 = -4*m + 298, -3*v + 684 = 3*m. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-29)\/(f\/(f\/(f**27\/f))))\/(f*(f*f**(-2\/79)*f)\/f*(f**(-2\/11)\/f)\/f) assuming f is positive.\nAnswer: f**(-47615\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 3)*(-33645)\/30. Suppose 703 = -5*u + r. Suppose -4*o + 4*n = -u, -o + 68 = -3*n - n. Calculate the greatest common divisor of 32 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 j, and 1 e when three letters picked without replacement from {r: 3, q: 5, j: 1, e: 1, m: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 5) + 84 + -67.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -25 - (-2 - -1)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27\/(-12))\/((-1)\/4). Let i(n) = -n**2 + 10*n - 13. Let s be i(5). Calculate the greatest common divisor of s and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 505 - -32?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*3*-41. Suppose 17 - 63 = z. Let k = m + z. Calculate the greatest common factor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 79. Let z be 80\/(-100) - r\/(-10). Calculate the highest common divisor of z and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 186 = 3*l, 18*l = 20*l + 4*k - 120. What is the greatest common divisor of l and 1280?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/30 + 23\/(-5) + 5. Let r be -2 + 4 + 14\/(-4). Put r, t, 0.08, -0.3 in descending order.\nAnswer: 0.08, -0.3, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -5*t**8\/1176 + 4*t**7\/245 + t**6\/420 - 2*t**5\/35 + t**4\/21 + 21*t**2. Let d(r) = 0. What is r?\nAnswer: -1, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 5:36 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6151*v - 6146*v + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/132 and 13\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/17 or 19534553?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 922.1682 years to months.\nAnswer: 11066.0184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32335751, 129342992, 291021727, 517371956, 808393679, 1164086896, 1584451607?\nAnswer: 2069487812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -299 - -310.9. Let w = 12 - h. What is the nearest to w in -5, 1\/2, 0.6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 5*y**2 + 2*y + 1. Let j be w(3). Let q = j + 5. Calculate the highest common factor of q and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:35 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 0.5 (c) 10348\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and 0.747281951208.\nAnswer: 0.737281951208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5017 + -5012. Let q be ((-1)\/(-2))\/(2\/(-4)). Which is greater: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 893808 and 27184.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/253, 0.063, -0.5, -1, -9, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 8*z**2 - 15*z - 5. Calculate the least common multiple of g(-6) and 345.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - j**2 + 1. Let q be s(-2). Let b be (-4)\/1 + q\/1. Let p(r) = -2*r - 7. Let v be p(-7). Does b = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-90))\/((-1)\/6). What is the closest to -1\/2 in h, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20975 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/288 and -131\/90?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (1 - 1) + (544 - 542)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -2259625?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67 and -136.\nAnswer: -9112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*g - 6673 + 4902 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7*z = 2*z - 58, -2*t - 4*z = 98. Let a = 54 + t. Suppose 0 = -5*i + 2*s + 3*s + 320, -4*s = -8. Calculate the greatest common divisor of a and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 + 51 = -2*h. Suppose 3*s - 110 = h. Suppose -w - 3*q = -14, 4*w - 3*q + 2*q = 108. Calculate the highest common divisor of s and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = 12. Suppose -2*n - b*s = -4, -4*n + 2*s = -0*n + 12. Is 2 a factor of -1 - 2*n*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.7 + 7. Let z be 15\/(-90) - ((-6)\/9 - -1). Put 0, z, p in decreasing order.\nAnswer: p, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (127 + (33 - 95) - (-19 - 1))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 1137*r = 1132*r + 4, -3*r = -6*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 0.0275.\nAnswer: -0.4725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4261563?\nAnswer: 3, 473507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*n - 4*i - i + 2*i, 0 = -6*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/229, 2\/13, -114?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.675593 from 0.7.\nAnswer: 12.375593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6632 + 5?\nAnswer: -6626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Suppose 0 = 50*f - 603 - 89 - 8. Let g(q) be the first derivative of f + 0*q - 1\/2*q**2. Give o(g(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(5\/8)*(m*m\/(m*m**0)*m)**(2\/29))**(1\/49) assuming m is positive.\nAnswer: m**(4\/1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21\/13, -91642, 1\/8?\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.35 + 0.05. Let c be 2\/4 - (1028\/72 + -14). What is the closest to -2 in c, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3545678 is divided by 17212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = j + 18, 0 = 5*j + 3*f - 0 + 2. Suppose 4*a = -j*a + 24. Suppose -a*l + 5*t + 79 + 97 = 0, -5*l + 3*t = -207. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74e5d (base 16) in base 10?\nAnswer: 478813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 460032553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2937597.\nAnswer: 3, 13, 75323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -31*u + 35. Let h(b) = 6*b - 7. Determine -11*h(m) - 2*p(m).\nAnswer: -4*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ccc - -446d?\nAnswer: 3691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8043, -7736, -6911, -5310, -2675, 1252?\nAnswer: 6729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*j - 7, 3*d + j - 1062 = 0. Calculate the remainder when d is divided by (0 + 13)\/(1\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 5*h + 1. Let q be s(3). Solve 2*i + q = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 9484*i - 9472*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.4 (c) -0.004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 55 + 20. Let r(t) = 1 + 12 + t + a. Let d be r(-12). Solve 4 = -3*u - d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*r**4 + 11110*r**2 + 348193?\nAnswer: -12*r**3 + 22220*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 73. Let x(y) be the third derivative of -y**o + 0*y**4 - 1\/3*y**3 + 0*y - 1\/30*y**5 + 0. Differentiate x(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229 + 483. Suppose -3*o - 465 + 1508 = 5*h, -5*h = -2*o + q. What is the highest common divisor of 39 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6547 - 554*d - 227*d - 6551.\nAnswer: -781*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.26563957 and 0.5.\nAnswer: 0.23436043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 5*j**2 + 3*j - 3. Let l be g(4). Let p = 14 + l. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.5, 9\/5, -5 in descending order.\nAnswer: 9\/5, 0.5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2. Suppose -2*h + 2 = -2. Suppose 2*t - 3*p - 2 = t, -t + p = -h. Let a(u) = 2*u**2 - 2*u**t + 2*u**2. Calculate q(a(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*l = -46, -3*f + 0 = 2*l - 34. Solve -5 + 35 = -f*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -20372.\nAnswer: -20349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/7 - 614*i**4\/7 + 1474*i**3\/7 + 74238*i**2\/7 + 214128*i\/7 - 289224\/7 = 0 for i.\nAnswer: -309, -6, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231 and 231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11852016 and 6?\nAnswer: 11852016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 862, 1715, 2566, 3415?\nAnswer: 4262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 715822*w**4 + 1139618870*w**3 + 48152058*w**2 + 678194*w + 3184 = 0.\nAnswer: -1592, -1\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-8))\/(2\/(-40)). Solve 10*v - s*v = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/847 and -61\/280.\nAnswer: 33880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -19. Let t(k) = 13*k**3 + 6*k**2 - 3*k + 9. Let p(l) = 7*l**3 + 3*l**2 - 2*l + 5. Let s(f) = 11*p(f) - 6*t(f). What is the tens digit of s(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/44 and 1\/189?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + 993\/(-12))*(-2)\/(-30) and -41\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yppywpwwwwpyyy. Give prob of picking 1 w and 1 p.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559 - 169*x**2 + 171*x**2 - 22*x + 22*x + 559.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7815 a factor of 1592787660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ea9f (base 16) in base 14?\nAnswer: 17c63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3290085 times -9?\nAnswer: -29610765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 22*d - 48. Let p be b(-24). List the prime factors of 5*(-4 + 120\/3) + p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -249456.72867 + 249458. Let g = 1.27 - y. Round g to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 526.7397?\nAnswer: 528.7397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/96)\/((-12)\/144).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {s: 11, o: 1, j: 2, q: 1}.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 3*z**2 - 3*z. Let n be a(2). Let q = n + 12. Find the second derivative of 2*m**4 + 0*m**4 + 0*m**q + 0*m**2 - 2*m wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 160*i - 28800.\nAnswer: -2*(i - 360)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 - 2*k**2 + 2*k**2)*(-11 - 3 - 24) to the form x + p*k**2 + m*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -384609305 divided by 4\nAnswer: -384609305\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1894*x**3 - 2835*x**3 - 1493*x**3.\nAnswer: -6222*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -170a (base 12) in base 2?\nAnswer: -101010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (36\/315)\/((-1)\/15*-6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 2668.\nAnswer: 34684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by 5403?\nAnswer: 110\/5403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**2 + 41 - 19 - 22. Let p = -26 - -44. Let x(b) = 8*b**2 + 6*b**2 - p*b**2. What is i(x(a))?\nAnswer: -96*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69239019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/(-180))\/(1\/8*21\/(-28))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, 68, 186, 352, 566, 828, 1138?\n\"Answer: 24*q**2 - 2*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 11 = -2*a + 9, 16 = 4*a + 2*i. What is the lowest common multiple of a and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 13*v**3 + v**2 - v**2.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -172091.7 * -48\nAnswer: 8260401.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - (6 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 263*k - 268*k - 4, 14*j - 68 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 + j**2 + 2*j**2)*(3*j**2 - 3*j**2 + j**2) to the form n + t*j**4 + q*j**2 + p*j**3 + m*j and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 4:18 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1390257668 + 9.\nAnswer: -1390257659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 11) to base 12.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -145200 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 3*f**2 - 15*f + 65. Give k(-8).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r + 9*r = 608 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**2 - 2 - 20*c**2 + c**2 + c**3 + 70.\nAnswer: c**3 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - v + 2. Let h be 32\/16 + 4\/v. Let m(c) = -c**3 + 5*c**2 - 4. What is the units digit of m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42 + 4*v + 32*v**2 - 2*v + 6*v**3 - 32*v**2 wrt v?\nAnswer: 18*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 + 4*c + 5. Let b(s) = 2*s + 2*s**2 + 2*s - 4 - 7*s. Let t = 9 - 6. Let a(d) = d + 8. Let p be a(-4). Give p*b(g) + t*l(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 7. Let h(i) = -7*i**2 - i + 1. Let f be h(1). Let l be q(f). Let d = l - -1. What is the highest common divisor of 5 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/(-4)*8\/60*-12. Solve -z = 8*x - 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.1564 years to months.\nAnswer: 721.8768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 3 - 4) + (0 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.721 - -0.021. Let o = h + 4.62. Sort 4, 0.3, o, 4\/5 in increasing order.\nAnswer: o, 0.3, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/65, 5, 49, -5, 4\/5, -1\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 57*p + 7 + 59*p - 8*p**3 in the form k + b*p**3 + x*p + j*p**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*h**4 + 258*h**3 + 828*h**2 + 888*h + 192.\nAnswer: 3*(h + 2)**2*(h + 8)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(7\/4)*x\/(x*x*x*x**(-24)\/x*x*x) assuming x is positive.\nAnswer: x**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 214 = j, j = -2*j + k + 587. Let t = 194 - j. Solve 5*y + 5 + 10 = t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19321, -38637, -57953?\n\"Answer: -19316*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.08775l to millilitres.\nAnswer: 5087.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2343\/4 (c) 2 (d) 2\/11 (e) 3\/4 (f) 0.2 (g) 140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -29 + 62 - 6*d - 39. Give v(8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-12) + (-70)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 0 - ((4 - 4 - -6) + -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 37*l - 54. Let b be o(6). Suppose -2*z + b = -2. What is the remainder when z is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.44788mm in meters?\nAnswer: 0.04544788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -60094.95 - -12.35287\nAnswer: -60082.59713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Let z = 6 + -9. Let i = z - -5. Which is the closest to i? (a) 4 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94408 by -94408.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 - 5 = 5*r, -2 = -l - 2*r. Let i(y) = -5 - 4*y**l + 5 - 2 - y**3 + y. What is the least common multiple of i(-5) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1304 - -0.0304. Let v = -2.01 + 0.01. Let a = -1.5 - v. Which is greater: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 1781042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 29 = 5*v, v - 19 = -3*v + k. Let g(p) = -1 + 2 + 43*p**2 - v + 5. Is g(1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100639990.\nAnswer: 2, 5, 11, 73, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -35. Suppose p*v = 26*v + 244. Let r = v - 59. Solve 0 = r*l + 5 - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 44 - 41 + 9 - 12.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.335 + 1.335. Let g = -11 - -8. Let c = 1 + -1\/2. What is the nearest to 1\/3 in c, w, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d**2 + 40*d - 95. Let k be ((-162)\/(-15))\/3*(-15)\/(-6). Let i = k + -14. Let f(s) = 10*s**2 - 40*s + 94. Let m(u) = i*f(u) - 6*a(u). Factor m(t).\nAnswer: 4*(t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -17. Let u be 50\/5*2\/x. Let b = u + -1. Solve -11 - b = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 1:21 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 888 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1703*w + 6289 = -43098 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 155291541, 310583083, 465874625, 621166167, 776457709, 931749251?\n\"Answer: 155291542*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 14*u**2 + 363*u + 4584. What is m(-12)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h**3 - 259*h**2 - 71473.\nAnswer: -9*h**2 - 518*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1392753786*u**2 + 253*u - 2987 wrt u.\nAnswer: 2785507572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 1.131.\nAnswer: 0.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13138 - 12919.03. Let i = 219 - v. Sort 8, -5, i in decreasing order.\nAnswer: 8, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21776*v**2 - 21776*v**2 - 2 - 34*v**3.\nAnswer: -34*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**4\/20 - 2*n**3\/5 - 9*n**2\/10 - 3. Solve h(v) = 0 for v.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145981 is divided by 226.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(65)*-2 - (sqrt(65) + 1*sqrt(65)*-1))\/(-6*(sqrt(30)*1)\/sqrt(6)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1476 and 4113.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2800689.8 to the nearest 10000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 776 + -1383. Let j = q + 1681. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19985, 39877, 59769, 79661, 99553, 119445?\nAnswer: 139337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 8*d - 2. Let g(h) = -4*h**2 + 15*h - 4. Let x(c) = 5*a(c) - 3*g(c). Is 17 a factor of x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5263 - -5281. Solve -c*f + 46 = -26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:56 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1537253841 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22560 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5097*f**2 - 9540*f**2 + 4581*f**2.\nAnswer: 138*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 20*i + 12. Determine y(25).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4900\/3675)\/(8\/150).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3137*p**3 - p**2 - 2*p - 1. Let a be q(-1). Suppose -2*u + 10307 = 2*z + a, -14372 = -4*u + 4*z. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 7*l**4\/12 + 103*l**3\/6 - 3141*l**2\/2 - 565*l + 2. Find the first derivative of n(b) wrt b.\nAnswer: 14*b + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 343508.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 5*a + 25, 20 = -51*a + 54*a - 4*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/2)\/(70\/56). Suppose 49 = y*p - 5*k, -k + 62 = p + 4*k. What is the second derivative of -5*m + 11*m + 19*m**3 - p*m + 4*m wrt m?\nAnswer: 114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 11) in base 4?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 997\/9 + -111. Which is the nearest to h? (a) -2\/3 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5077\/7 + 1 + (-462)\/1617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137.0437l to millilitres.\nAnswer: 137043.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1162, -366, 448, 1274, 2106, 2938, 3764, 4578?\nAnswer: 5374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2298*((-3)\/9)\/(11\/(-22)).\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 3*u. Let y be j(4). Find the third derivative of -y*h - 2*h**3 + 4*h - 3*h**2 + 7*h**2 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/130 and 88\/40001871.\nAnswer: 400018710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*o + o - 101, 3*h - 152 = -4*o. Let v = 3088 - 2958. Calculate the highest common factor of h and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57855050 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2 - a + 1. Let h be (0 - -1)\/(2\/4). Let t be y(h). Suppose 2*d + 83 = t*n, 3*n - 108 = -6*d + 3*d. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m**2 + 0*m + 3*m**2)*(-1141*m**3 - 1641*m**3 + 2189*m**3).\nAnswer: -593*m**5 - 1779*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92727.41ug in grams?\nAnswer: 0.09272741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + 2*j**3 - 4*j**3 + 5*j**2 to the form z*j + k*j**3 + t*j**2 + l and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446068 divided by -2?\nAnswer: -1223034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(170\/102*-438)*-1*15\/(-3).\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -12. Suppose 0 = -l + 1 + s. What is the remainder when 19 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 4)\/(2\/(-2)). Suppose f*h - 21 = 21. Let k = 794 - 794. Solve s - n = 4, k - h = 2*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5452 - -5758. What is the highest common divisor of 3009 and f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -368484.9 <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060606861 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 3548537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -698*w - 2616. Let p be b(-4). Solve -p*v - 24 = -172*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/664572 and -19\/94?\nAnswer: 31234884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -10013?\nAnswer: 10018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -46. Suppose l = d*l + 4*r - 41, -r + 33 = 4*l. Solve -l + 23 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282279.\nAnswer: 3, 23, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 1. Let y(v) = -v - 2. Let c be 8\/6*54\/(-36)*1. What is c*z(w) - y(w)?\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/621)\/(1 + 2\/(-6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47690 - 47688 - 459*b + 109*b.\nAnswer: -350*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1096*r**2 + 100065 + 1077*r**2 - 100065 - 2172*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 158149 and 4.\nAnswer: 632596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 13*m - 22. Let x be u(10). Suppose -2*g - o - 26 = 0, -5*o + 2 = -x. Let t = g + 17. Let q(d) = 3*d + 1. Give q(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - 2\/(-4). Suppose 0*n + 0*n + 6*n = 0. Let i be (w + n)*-1*-49. Round i to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -4840142.\nAnswer: -968028.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -3033 (base 6) to base 13\nAnswer: -3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3835970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*((sqrt(72)*2)\/sqrt(9) + sqrt(20)\/(4*sqrt(40))).\nAnswer: 99*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -443*i**2 + 88 wrt i.\nAnswer: -886*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.538 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 165, 151, 131, 105, 73?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) -14 (b) -2\/43 (c) -0.5 (d) 4 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -2046.\nAnswer: -2046, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 14*j - 4. Calculate f(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.6 - -14. Let y = 11.7 + p. Which is the third smallest value? (a) -3 (b) y (c) 2\/5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155979 by 1431.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 divided by 98.\nAnswer: 74\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:05 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3724743 to the nearest integer?\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*i + 5*n, -21 = -3*i + 301*n - 297*n for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9901 - -10228. Solve a = 3*b - y + 312, 3*y = -9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35612737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/12 + 330*t**2 - 1. Let k(c) be the first derivative of -3*c**2\/2 - 1. What is k(u(a))?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilddvddrrlrrdrvr. Give prob of picking 1 i and 3 d.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 10. Is 16 a factor of i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33336 and 712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.25975 centuries to decades.\nAnswer: 622.5975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qkqhfhhqhph. Give prob of sequence kfp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/66*-6*(-2)\/(1\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 - 29505*h**2 - 1956490*h - 12251400 = 0. What is h?\nAnswer: -5834, -60, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7054530757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 522 (base 14) to base 13\nAnswer: 5c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 - 112 - 79 + 414 - 110 + 11*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-4 - (2 + -5)). Suppose -q + b = -2*c + q, 4*c - 12 = -q. Suppose c*x - 6*x = 0. Solve -5*a - 11 = m, 0 = a + 4*m - x - 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 - 38338*u**2\/3 - 2074626*u - 84081402.\nAnswer: 2*(u - 57669)*(u + 81)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 4*a**2 + 6. Suppose -2*k = -h - 6*k + 20, -h + k = 0. Suppose 2*p + 5 = n, 4*p - 6*n + h = -2*n. What is the units digit of v(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a minute in seconds?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:03 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 3*a**3 - 10 + (-11708*a - 11766*a + 23585*a - 54)*(2*a - 2*a + 2*a**2) to the form w*a + x*a**2 + c*a**3 + i and give c.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/6 - 2*q**3\/3 + 3*q**2 - 4*q. Let c be 70\/4 + (-36)\/(-24). Let r(i) = -i**2 + 16*i + 61. Let o be r(c). Determine v(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137672, -276537, -415404, -554273, -693144, -832017?\nAnswer: -970892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 553, 2570, 5931, 10636, 16685?\nAnswer: 24078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18590 + -11790. What are the prime factors of i?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 5*a - 76. Let g be p(7). Let m(y) = -2*y**2 + 12*y - 3. Calculate m(g).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136382721 divided by -3.\nAnswer: -45460907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 28*u**3. Suppose -3*j - 2*v + v = -5, -13 = -5*j - 4*v. What are the prime factors of t(j)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -3, 3 in decreasing order.\nAnswer: 3, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.9 - -32. What is the closest to o in -4, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*d + 86*d + 765 = 172*d for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109? (a) -0.05 (b) -1.8 (c) 2\/9 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 195. Let z = m - 154. Let y = 0.01 - 0.41. Which is the nearest to 2\/9? (a) y (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 308, -93, -7 in descending order.\nAnswer: 308, -7, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (23 + (111 - 98))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*s = -3*s - 5, 2*s + 4 = 2*y. Suppose n - y*n = 0. Let l(k) = -k**2 - 5*k - 3. Let b be l(-5). Put b, 1, n in increasing order.\nAnswer: b, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/3 + ((-34)\/3)\/2. Which is the second smallest value? (a) 0.04 (b) j (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o - 200. Give v(20).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12046166?\nAnswer: 2, 11, 17, 31, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3*o - 452, 0 = -5*r + 3*o - o + 1119. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -292\/5 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/3 - 91*z - 11492\/3 = 0 for z.\nAnswer: -221, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*a - 12*a - 192*a)*(5*a**2 - 5*a**2 - 4*a**2) - a**3 + 2*a**3 + a**3.\nAnswer: 990*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -17. Let h = 22 - b. Which is bigger: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:07 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*x - 74. Calculate the remainder when x is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277.0169 + 0.0169. Let n = i - -280. Let k be (-2)\/18*6\/4. Which is the second smallest value? (a) k (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32535054 and 18?\nAnswer: 32535054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.49 - 1.4899646. Round h to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -44. Suppose -18 = p - 4*r, 2*r = -m*r + 25. Let y(s) = 4*s**3 - 4*s**2 + 2*s + 1. Calculate the smallest common multiple of 33 and y(p).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, r: 10, q: 2, w: 1, u: 2}. Give prob of sequence wuq.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-2)\/264*4. What is the nearest to -1 in -101, 4, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4856814 + 432392. Let p = h + -2019210. Suppose -p = 3*m - 6*a + 2*a, -4*a - 3270004 = 3*m. Round m to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/(-12)*((-44)\/12 - -1). Suppose -o + 5 = v, -o - d = -4*v + 4. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1216) + -5)*5 + (sqrt(1216) + 1 + 1 - (4 + (1 + sqrt(1216) - sqrt(1216)))**2).\nAnswer: -32*sqrt(19) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 8*b - 7. Let y be q(-9). Let t be (-1)\/(-2 - (-1 - y)). Let o = 1 + t. Which is bigger: o or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:50 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + 11b?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 355.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2366, -2279, -2190, -2099?\nAnswer: -2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99433211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 123804102361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -117*f*k*m - 570998*f*k + 2*f*m + 3*k*m + m wrt m?\nAnswer: -117*f*k + 2*f + 3*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqfqqqqqqqq. What is prob of picking 3 q?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 8*w**2 + 10*w - 9. Let j be i(9). Suppose -4*s + v - 11 = j, 3*s + 2 = -s - 2*v. Sort s, -13, 2 in decreasing order.\nAnswer: 2, s, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/10)\/((-3)\/108) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231209400 divided by -4624188.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.272 - 13.4545263.\nAnswer: -12.1825263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**4\/24 + 3*q**3\/2 - q**2. Let i = 33106 + -33103. Calculate h(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47351000 to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1011101111 (base 2) to base 13\nAnswer: 45a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43790\/13137*(-9)\/5*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q - 2*z = -4, 3*q - 21 = 3*z. Let l = 192 - 186. Solve -q*v - l = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19838620 + a**3 + 19838620 - 12*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -403.9 - -403.875916. What is y rounded to 4 decimal places?\nAnswer: -0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**6\/80 - r**5\/6 + r**4\/2 + 15*r. Let p(i) be the third derivative of w(i). List the prime factors of p(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9*(-23)\/(-414)*(-107)\/(-637) and 111\/112.\nAnswer: 10192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/54*(-1 - -3*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756780357 to the power of 1\/2, to the nearest integer?\nAnswer: 41914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**3 - c**2. Let d be g(1). Let h be (2*d)\/((-6)\/(-4)). Suppose -f = v - 3 - 4, -v + 2 = 0. Solve h = f*t + 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a year in months?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-139)\/(-45) + ((648\/(-90))\/(-6))\/(-6)?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 11*p**2 + 6*p - 1. Let q be g(5). What is the highest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2, -7*k = -n - 6*k + 1932. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1137444 and 603190?\nAnswer: 39810540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299547 is divided by 3566.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + a + 20914, -4*h - 11*a = -12*a - 27887. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 23 + 21. Let w = 3 + 0. Suppose s - 3 = -1, 0 = w*u - k*s - 34. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 - 364*k + 2847. Give u(-80).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -47, 6, 9 in descending order.\nAnswer: 9, 6, 3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10180, -1, 1\/22 in descending order.\nAnswer: 1\/22, -1, -10180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11010010?\nAnswer: -11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 4*s - 4, 7 = 3*s - 2*x. Suppose s*t - 22 = 4*t. Suppose 3*z - 2*f = 14, 4*z - 4*f + 52 = 8*z. What is the remainder when t is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/3*(-1)\/1*(-27 + -254). Solve f*n - 20 = 291*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/219757 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*m + 30, -2*l - 2*l + 24 = m. Suppose l*i - 7*i - 190 = -u, 3*i = -2*u + 405. Suppose -162 - u = -7*h. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -50*j - 238. Determine s(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1361916694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a + 21. Let q be i(0). Suppose -q*x = -24*x - 21. What is the units digit of 7\/(196\/(-8)) + (-674)\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/sqrt(3))\/sqrt(3) + 0)*6*4.\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -12*h**3 + h**3 + h**2 - 4*h**3 + 2*h. Let b(t) = t**2 - t. Let y(m) = b(m) + r(m). What is the lowest common multiple of y(-1) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 + -1 - -15) + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 15*s**2 - 17*s - 33. Calculate l(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*-1*sqrt(19) - (4 + -1 + sqrt(19))).\nAnswer: -6 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385957 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.106587 + 0.5.\nAnswer: 0.393413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 94914252 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + 8\/3. Suppose -p*a - 5*h = 3*a - 115, 2*a + h = 49. Is (-1)\/(2\/a)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183593*u**2 - 183584*u**2 - 8 + 8.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -381, -763, -1145, -1527?\n\"Answer: -382*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.22695 rounded to one dp?\nAnswer: 142.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*b - 9*b + 176, -4*b + 132 = u. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-9)\/90). Suppose -w*h - 2*y - y = 47, 0 = -h - 3*y - 19. Let q be h\/(-3) - 4\/(-6). Solve -q*v + g + 28 = -4*g, 4*g = v - 21 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1667*g - 2937*g + 30732 = -1861*g for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -0.3, -0.16, 3\/5, -5, 2\/15?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -28. What is the tens digit of (-1)\/(-4 + (-91)\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/272 and 49\/279718.\nAnswer: 2237744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*g + g. Suppose -a + 24 = 3*a. Suppose 2*w = -a, 0 = -2*f - 2*f - 5*w + 41. What is the remainder when f is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-7))\/(-4))\/((-196)\/343)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:33 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.79 + 0.23. Let w = 1649 + -1648.5. Which is the second biggest value? (a) l (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1. Let g(u) = -u - 1. Let x(p) = 6*g(p) + q(p). Find the first derivative of x(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 24 = -o + 114, 0 = 4*o + k - 275. What is the highest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424319, -848587, -1272855, -1697123, -2121391?\nAnswer: -2545659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 176 - 20?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*93\/(-62).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47\/168 - 25\/56. What is the nearest to c in -0.4, -0.2, 2\/11, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44\/21 - -2. Let z = -70689 + 1343089\/19. What is the fourth smallest value in z, h, -4, -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 191700024*c - 383400036.\nAnswer: -3*(c - 63900006)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 2*f + 2*f)*(52 + 32 + 3)*(3*f + 3*f - 4*f) as n + x*f**2 + b*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*q + 17 = q, -5*x - 34 = 3*q. Sort 2, x, 4 in decreasing order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1469, 1465, 1459, 1451, 1441?\nAnswer: 1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -20. Solve -i*c - 6*c = -30 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 103, -2708 in descending order.\nAnswer: 103, -10, -2708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 - 12 = y + 5*j - 4*j, -4*j - 236 = -6*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-4)*(-16)\/(-24). Suppose -6 = j - 5*i + 4*i, v*j = -2*i - 2. What is the second smallest value in 4, j, -0.09, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-4 - 4))*(-10)\/140.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/(-82*(4\/4)\/(-12))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323773 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*t + 660 - 125, -20 = 4*u. Let j = t + -182. Let n = j - -109. Solve 4*o - 2*q = 2 + 4, -5*q = 2*o - n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*z**3 - 182*d**2 + 2*d*z**3 + d*z - 107*z**3 wrt d?\nAnswer: 4*z**3 - 364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-12)*(-9)\/42. Let a = -0.1 + -0.9. What is the third smallest value in j, a, 2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 2, o: 1, n: 1}. What is prob of sequence oc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11302 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5603*-35\nAnswer: 196105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = 0, 13 = 5*a - 4*t - 8. Suppose 4 + a = -o, -c = 3*o + 13. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -n - 2*n. Is -17 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - -44) + -8 + -4 + 3 + -2 + 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 10 - ((-8 - 76) + 88).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19732323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1. Let k(n) = -31*n + 5. Give k(v) - 6*w(v).\nAnswer: -31*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 30 = 7*q. Let d = q - 4. What is the third derivative of 0*f**6 - 2*f**2 - f**2 - 4*f**6 - f**d wrt f?\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - sqrt(110)*2) + sqrt(110))*5 - sqrt(110))\/(sqrt(810)*-1).\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-23 - 3))*-2. Let f be 1\/(-2) - v\/(-8). Sort 2, 3, f in decreasing order.\nAnswer: f, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 141.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o + 105. What is b(7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*q = -6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*c - 85 = 0, -5*r = -2*c - 0*c + 115. What are the prime factors of 164\/14 + (-6)\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3199 - -3199. Let y(w) be the first derivative of 0*w + 2\/5*w**5 - 1\/3*w**3 + z*w**4 + 0*w**2 - 1. What is the third derivative of y(u) wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 10:57 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -100333 (base 4) in base 14?\nAnswer: -579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -119.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 757 = 27*l + 136. What is the remainder when 1745 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 = 5*r, -2*k + 3*r + 1 + 2 = 0. Factor 0 - 12*t**3 + k*t + 8\/3*t**2.\nAnswer: -4*t**2*(9*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 5, z: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -301, -351, -423, -523, -657, -831, -1051?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*v = 3*d + 70, -5*v - 60 = 4*d. Let x = d + 8. Let f be x\/6*1*-3. Solve 0 = -3*m + 5*s - 19 - f, -2*m = s - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -94, -113, -140?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.8 + 1.2. Let l = h + -7. Which is the third biggest value? (a) 2\/3 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 2\/5 (b) 2 (c) 4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4361 in 3.07, -0.4, 5, 1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 88*w**2 - w - 2. Give z(2).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6) - 195\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*y + 4 = 0, -152760*h - y = -152755*h - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -942\/5 + 189. Sort w, 2, -4 in ascending order.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 12*a - 359. Let h be c(-11). Suppose 0 = -4*b + 20, 0*b = 3*j + 4*b - 38. Let g = h + j. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1375 - -1380. Let r(n) be the first derivative of -2\/65*n**f + 4\/13*n + 5\/13*n**2 - 1\/26*n**4 - 1 + 2\/13*n**3. Solve r(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + -2 + (3 + sqrt(720) + -2 + 0)*2 + -4)**2.\nAnswer: -336*sqrt(5) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 11, j: 5, h: 2}. Give prob of sequence hjhj.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 227 + -3181\/14. Let x = -19\/42 + m. Which is the nearest to x? (a) 4 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 992 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5611, -4, -5 in increasing order.\nAnswer: -8, -5, -4, 5611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 8, r: 5, w: 1, l: 3}. What is prob of sequence nw?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 64*a. Let y(h) = -1115*h. Determine g(y(i)).\nAnswer: -71360*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 13*i + 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 12:20 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evpzpeeepleevzwpe. What is prob of picking 1 w, 1 l, and 1 z?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28239073 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*s**2 - 69*s**2 - 79*s**2 + 222*s**2 + 324 as o + m*s + y*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 57 = -4*o + 208, -4*i = 5*o - 321. What are the prime factors of o?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyddfjkjhff. Give prob of sequence fd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-6\/19)*z)**(2\/29) assuming z is positive.\nAnswer: z**(88\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 1 = -3*a - 1, -3*a - 11 = -5*x. Calculate the greatest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 - -1026\/5. Which is the nearest to -10? (a) f (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.7 + 8.9. Let l = 106.6 - c. Let p = 94.9999706 - l. What is p rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*x**4\/5 - 408*x**3\/5 + 266*x**2\/5 - 44*x\/5.\nAnswer: 2*x*(x - 22)*(3*x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i - 5*i = -120 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -j - 3*j + 2*h, 3*h = 2*j + 13. Let a(l) = -8*l**3 - 3*l**2 + 3*l - 10. Let t be a(j). Round t to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/21*-21*1)\/((-78)\/4)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 - 69100\/(-30). Suppose -20*g + 16*g + i = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*k**3 + 1369*k**3 + 1788*k**3.\nAnswer: 2797*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38599*x + 14398*x - 11597*x + (2 - 2 - x)*(-4 + 7 - 1) to the form k + h*x and give h.\nAnswer: 41398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -144, -19?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 20 - -4 - -9. Let v be (-30)\/4*(10 - 406\/b). Solve v*h - 8*h + 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 1. Let i be x(-1). Suppose -3*l - 4 = -i*l. What is the highest common divisor of 28 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2 - 166660*j - 8835789 = 0.\nAnswer: -53, 166713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 79.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.78 and 0.4.\nAnswer: 3.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -125629, -125564, -125469, -125344, -125189, -125004, -124789?\n\"Answer: 15*j**2 + 20*j - 125664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 1 (c) 0.5 (d) 1\/3 (e) 2\/75 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2 + 1. Let d = 109 + -106. Let z = d + h. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 49*c**2. Let w(y) = 313*y - 213*y - 101*y + 24. Give w(h(i)).\nAnswer: -49*i**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -354 - -354. Let o(y) be the first derivative of 0*y - 2\/15*y**3 + 1 + a*y**2. Suppose o(h) = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 - 2*d + 35. Let p(n) = 4*n**2 + 2*n - 35. What is -4*p(o) - 5*y(o)?\nAnswer: -o**2 + 2*o - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = -7 + 47. Let c = -176 + 41. Let v = c - -145. Calculate the lowest common multiple of x and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.33 + 0.47. Let d = f - 8. Let i = d - 0.8. What is the biggest value in i, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.24287 weeks in seconds?\nAnswer: 6194887.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 + 3*z**2 - 2*z - 2. Let g(u) = -7*u**3 + 5*u**2 - 4*u - 5. Calculate 3*g(p) - 5*k(p).\nAnswer: -p**3 - 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (22*366)\/((-444)\/(-1184))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 4, p: 2}. What is prob of picking 2 p and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*-2 - -4. What is the second derivative of 2*z - 4*z - j*z - 2*z**2 wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9a + 1569074?\nAnswer: 1569163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -6280 (b) -131 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 + 6*s + 5. Let n(i) = 2*i**2 - 27*i + 41. Let o be n(13). What is the remainder when v(-4) is divided by o - 3*(4\/(-3))\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqjj when four letters picked without replacement from qjjqj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.45331279 to three dps.\nAnswer: -18.453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.14 + 9.14. Sort 7.9, -0.4, p in decreasing order.\nAnswer: 7.9, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 3*x + 13 + 4, -5*x + 28 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5182\/5 or -1035?\nAnswer: -1035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-21)*u))\/(u*u*u**(-11\/4)*u*u*u))**(-42) assuming u is positive.\nAnswer: u**(-1575\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 17)*(1 + 2 - 2)*(-3 + 3 - n) as t + v*n and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, and 1 t when three letters picked without replacement from {t: 2, r: 2, b: 6, d: 1, x: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/35 + 104\/10. What is the highest common factor of 90 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 23*s**2 - 947*s + 23304. Determine i(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18198 and -9.\nAnswer: -163782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1468*l - 574*l + 8856 = 730*l for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/14477159 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20970.4798 rounded to one decimal place?\nAnswer: -20970.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-49 + -2)*(-2)\/3. Let k = -74 - -71. Let t be (k\/(-6))\/((-7)\/(-3808)). Calculate the greatest common divisor of t and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 92 (b) -0.3 (c) 1\/12 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**4*g + b**3*g + b**3 + 8*b**2 - b*g + 1 wrt b.\nAnswer: 216*b*g + 6*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3429 = -4*s, 2928 + 3918 = 2*u + 4*s. What is the highest common divisor of 50 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315 = -26*n + 1573 + 94 for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27014450.\nAnswer: 2, 5, 409, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.14 - 1.14. Let a = -5 + 9. Let n = a - 3. Put -5, s, n in descending order.\nAnswer: s, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10006013 >= -10006013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 336887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - (-32)\/10*(-220)\/(-88). Suppose -2*m - 1 = -3*q - 16, 4*m - q - 15 = 0. Sort m, 5, -3, l in decreasing order.\nAnswer: 5, m, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112212211 + 200121?\nAnswer: -112012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + n - 1. Suppose 17*l = 18*l + 1. Suppose -9 = -2*k + 5*k. Let w(x) = -x**3 + 2*x**2 - x + 3. Calculate k*j(i) + l*w(i).\nAnswer: i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254380, 508561, 762738, 1016911, 1271080, 1525245?\nAnswer: 1779406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632718 is divided by 4943?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + 6 + 5 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - f)*(3*f - 6*f + 4*f) - f**2 - 2*f**2 + 0*f**2 - 19*f**2 - 70*f**2 + 20*f**2 - 5*f - f**2 + 5*f + (-5*f - f + 4*f)*(5 - 5 - f) - 3 + f**2 + 3.\nAnswer: -71*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r + 10 = 2*y, -5*y + 21 = -3*r. Let j be ((-1)\/2)\/(3\/(-18)). What is x in -6*x**j - x**3 - 15*x**4 + 24*x**4 - y*x**2 + x**2 = 0?\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from jeeiijjjj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1148\/(-4018))\/(1\/7*-1). Let v(n) be the third derivative of 0*n - 1\/15*n**6 + 1\/2*n**4 + 1\/105*n**7 - 31*n**r + 0 + 1\/30*n**5 + 0*n**3. Factor v(u).\nAnswer: 2*u*(u - 3)*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 2*m**2 + 4*m - 14. Let a be g(-4). What is the nearest to -1 in -2\/155, a, -2?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glqzc. Give prob of sequence gcl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 4:45 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 15*m + 35 = -3*z, 2*z = -2*m + 28. Suppose -12 = -j - 3*r, 6*j + 128 = m*j - 2*r. Calculate the greatest common factor of 36 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27291 + -0.01562\nAnswer: 27290.98438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 78*v - 720. What is f(13)?\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -382, -618, -906, -1264, -1710?\nAnswer: -2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165066 and 10.\nAnswer: 825330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2936 - 2932. Solve -5*n = -2*n + u - 12, 0 = -2*n - h*u + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 9*j - 275 = 0. Solve -j*d = -28*d - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 705 + 446. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*9\/6*6\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, f: 4}. What is prob of sequence fff?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -15. Let u be (-11 - -10) + (t - 1). Solve u = 2*s + 5*a - 9 + 25, -4*a - 14 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/8)\/((-63)\/1400). Do o and -16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -2585?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (-3 + -1 + sqrt(1331)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/50)\/((-25)\/50). What is the third biggest value in -50\/7, 0, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a. Let c(s) = -339*s. Determine c(z(j)).\nAnswer: 678*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 8*z**2 + 2*z + 1. Let j(o) = o**3 + 4*o**2 - 64*o - 301. Let v be j(-5). Give b(v).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 28, -11\/3, 273, 2\/61, 0.2?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 l when four letters picked without replacement from {x: 4, m: 1, y: 3, l: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/((-518)\/185).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1296) - (3*(sqrt(225) - sqrt(9)) + sqrt(9)))\/(2*(sqrt(3) - (sqrt(3) + (sqrt(3) - 5*sqrt(3)))*-6)).\nAnswer: sqrt(3)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*d = 457*d - 5616 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 d when four letters picked without replacement from {u: 3, d: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1750765996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 2, -7.9?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 21*i**2 - 505*i + 2234. What is s(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(104\/36 - 3). What is the second smallest value in i, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 1, b: 1, w: 4}. Give prob of picking 1 i and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40560673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 83554, 0, -12 in decreasing order.\nAnswer: 83554, 0, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188259?\nAnswer: 3, 62753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -3)*2\/(-6)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24351 (base 8) in base 14?\nAnswer: -3b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -35*m - 3. Let d(z) = 140*z + 13. What is 2*d(r) + 9*i(r)?\nAnswer: -35*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 765.11 to 0 decimal places.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001019725 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**5\/15 + 11894*o**4\/5 + 4253978*o**3\/15 + 5541154*o**2\/5 + 20627708*o\/15 + 2740848\/5 = 0.\nAnswer: -17721, -116, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1690 by 2.\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + p + 15 - 30, 0 = y - 5*p - 3. Solve l + 0*q = -y*q - 1, -l - 5*q = 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49706015\/3 or -16568672?\nAnswer: -49706015\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53354 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**5 - 1460*l**4 - 252588*l**3 + 2199608*l**2 + 2159766254*l - 2161711812 = 0.\nAnswer: -463, -173, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 k when three letters picked without replacement from {o: 1, k: 6, i: 6, e: 2, t: 1, f: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0081 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**(-48))**(2\/17) assuming y is positive.\nAnswer: y**(-192\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 109047540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20074?\nAnswer: 2, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/13)\/(i*i*i**(-1\/7)\/i))**(-43))**(-9))**9 assuming i is positive.\nAnswer: i**(-247293\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 760?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((0 + sqrt(1573))**2*3 - (4 + sqrt(1573) + -1)) + (3*(-2*sqrt(1573) + 3 - sqrt(1573)))**2).\nAnswer: -264420 + 3586*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 3. Let s be b(5). Suppose 0 = j + s*x - 21, 0 = -3*j - 3*x + 2*x + 38. Calculate the highest common divisor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -3 + (35 - -9) - (59 - 53)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 461029.215 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, u: 1, s: 1, r: 1}. What is prob of picking 3 h?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1129*i. Let q(c) = 236*c - 468*c + 234*c. Give v(q(j)).\nAnswer: 2258*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042.4681 rounded to the nearest integer?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**4 - 2175654*v**3 - 25197800*v**2?\nAnswer: 24*v - 13053924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 87944*a + 25.\nAnswer: -87944*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, y: 1, s: 1, f: 1}. What is prob of sequence fs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**5\/20 - p**4\/12 + p**3\/6 + 3*p**2\/2 - 3*p. Let z be a(2). Is z greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(11)*5 + sqrt(704)*2.\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1) + 2 + 1. Suppose -594 = -p*l + 58. Suppose 4*s = 6*s - l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -45. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 53*m. Let v(n) = 6077*n - 24. What is d(v(z))?\nAnswer: 322081*z - 1272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 84 + 76. Suppose u = 2*a + 3*a. What are the prime factors of 98\/6 + a\/12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((6 + -4)\/2). What is the closest to 2 in -3, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 1. Let o be w(1). Let f be o + -27*1 + -2. Is 24\/(-156) + (-2526)\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 5\/2)*2. Let t = -15 + 7. Let c = t + 12. Solve 0 = v - 2*v + c*y - 5, -v - z = -3*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3 + 3)*(45 - 36 - 290).\nAnswer: -281*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 20)*(-4 + 0 + 2)*(k**4 + 0*k**4 - 3*k**4).\nAnswer: 100*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = b + 4*n, 3*b - 30 = n + 48. Is (-20)\/b*25\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Suppose 6 = 2*s + c*l - 32, -4*l = 8. Let i = -259 - -270. What is the lowest common multiple of i and s?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 35648*d - 158847488 = 0. Calculate d.\nAnswer: 8912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = p - 3, 4*t - p - 7 = 0. Let a be (-39)\/(-4) - t\/(-8). Solve a*h**3 - 5 - 5*h + 10*h**2 + 4*h**5 - 5*h**4 - 4*h**5 - 5*h**5 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 153*l + 24. Is 57 a factor of c(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2802446 (base 10) in base 13?\nAnswer: 77176a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, d: 1, e: 5, i: 4, q: 3, v: 1}. Give prob of picking 1 q and 1 e.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, i: 2, e: 2, o: 1, j: 4}. Give prob of sequence ij.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)\/(17 + -21). Suppose -25 = -z + 3*x, -z + k*x + 5*x + 31 = 0. Suppose -18*s = -z*s - 164. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7059901, -7059903, -7059907, -7059913, -7059921?\nAnswer: -7059931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*a**5 - 11*a**3 + 867*a**2.\nAnswer: -1080*a**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2 - 20*c + 18 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -174 + 177. Solve s*h = -3*h - 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4696380727?\nAnswer: 19, 29, 641, 13297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7062 and 2968.\nAnswer: 20960016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 3650?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 51*h + 26*h + 29*h - 7*h**2 - 8. What is the least common multiple of 3 and n(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 6, h: 2, q: 3}. What is prob of sequence qqq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28131 + 9630 = 232*k + 1551*k + 26074 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 6. Let w be p(7). Let o be (0\/(1 - 4))\/w. Solve 0 = -5*y - o + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 - u**2 - u**2)*(-419*u + 322*u + 1597*u) to the form t*u + b*u**2 + r + s*u**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*p**2 + 79*p**2 + 73*p**2 - 159*p**2.\nAnswer: 65*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 493\/26, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u. Let y(b) = -6*b. Let a = -26 - -19. Let q(n) = a*j(n) - 6*y(n). Let d(s) be the first derivative of 27*s**2\/2 + 19. What is q(d(v))?\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20306 is divided by 69.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7027 + -7023. Suppose 3*c = c + 18. What is the remainder when c is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 129?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173560*l**4 + 46*l**3 + 3*l**2 + 3244563.\nAnswer: 4165440*l + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d**2 - 10*d + 6. Let z(s) = -8*s**2 - 9*s + 5. Determine 5*o(i) - 6*z(i).\nAnswer: 3*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 3 + -2 - 4 - -5. Let r be y - 1 - (-4 - (0 - 2)). Suppose r*h = 6*h - 4*z - 700, 0 = 3*h - 5*z - 533. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4 - 0. Suppose -5 = -g*u + u. Suppose -t - 12 - 36 = -u*x, -9 = 3*t. Solve -10 = a + 4*n - x*n, 5*n = -4*a + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221362, -221363, -221362, -221359, -221354?\nAnswer: -221347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 12429*k**2 + 12792168*k + 168405276.\nAnswer: 3*(k - 2078)**2*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -1424, -3340, -6044, -9548?\nAnswer: -13864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 1269*s**2 + 1266*s.\nAnswer: 3*s*(s + 1)*(s + 422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -69785*b*k**2 + 2*b*k*m + 2*b*k + 83511*k**2*m wrt b.\nAnswer: -69785*k**2 + 2*k*m + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -11. Let u = -15.706 - 0.194. Let x = u + 16. Which is the nearest to -0.1? (a) -3 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 7*a**2 - a + 1. Let o be m(-7). Let n(q) = -q**3 + 9*q**2 - 3*q - 10. Let w be n(o). Suppose b - 21 = w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(2\/13)*a)*(a*a*a\/a**(-2\/7))\/a)**10*(a*a**1)**(-50)\/(a**(-7)\/(a\/a**0)) assuming a is positive.\nAnswer: a**(-7342\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = 3*y, -5*y + 0*y = z - 9. Solve -z*b = -5*v - 12, 3*b + 0 - 2 = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-2 - 0) - (-21 + 1196\/70). Which is greater: g or -2\/23?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - d**2 + d + 2. Let h be s(3). Is 3 a factor of h\/8 + 3\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4553 times -0.05\nAnswer: -0.022765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2989 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25800 is divided by 12774?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*-1*(-551 - -556)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4104.30976009 - -4088.30976. Let a = i + 16. What is a rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483*h - 4150 = -493*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*b - 3249 = 1511. What is the greatest common divisor of 9044 and b?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.117 or 0.42?\nAnswer: 1.117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m - 3. Calculate the remainder when 61 is divided by i(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 7*j + 15. Suppose -d = 4*d + j. Let p be ((-9)\/6)\/(d\/12). Let l(r) = r**2 - 7*r + 8. Calculate l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96100 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -29*b**3 + 2*b**2. Determine u(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, j: 6, y: 1, t: 2, w: 1, a: 1}. What is prob of sequence ap?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*u - 660 - 450, -3*z + 3*u = -1086. Are z and 358 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 39 = 4*f, 2*f - 5*h + 55 = -3*f. Let r = 16 + f. Find the second derivative of -9*q + 4*q**2 - 13*q**2 - 2*q + r*q**2 wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635*t = 616*t + 38. Solve -t*c - y + 5 = 0, 3*c + 5 = 4*y - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (5 - 6) + (13 - (7 + -1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05897842 rounded to 4 dps?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 10:50 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 74*h**3 + 17*h**2 - 19. Let c(f) = 144*f**3 + 33*f**2 - 38. Let p(d) = 6*c(d) - 11*t(d). What is the third derivative of p(n) wrt n?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 39508053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23766)\/(-6333639))\/(((-4)\/(-26))\/2).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9995664 to the power of 1\/2, to the nearest integer?\nAnswer: 3162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**2 + 4*v - 11. Let s be n(-5). Let j be s*((-9)\/(-2))\/(-9). Suppose 4*h - 186 - j = 0. Calculate the remainder when h is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -4\/3, 2, -0.23, -0.06906?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -231705*d**2*l**3*v**3 + 2*d**2*l**3*v + 21*d*l - 118*l**3*v**2 - 2*l**2*v**3 wrt d?\nAnswer: -463410*l**3*v**3 + 4*l**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196806954 less than 196806953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -5 - -6)\/(1\/(-17)). Which is smaller: -67 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8789 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -256 + 256. Is -7\/9 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -22. Suppose k = -2*t + 5*l + 1417, -5*t = -0*l + 4*l - 3493. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 320220, 319114, 318010, 316908, 315808?\n\"Answer: m**2 - 1109*m + 321328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j**5 - 3\/2*j**6 - 14 + 14\/3*j**3 + 0*j**4 + 0*j**2 + 0*j. What is the third derivative of u(g) wrt g?\nAnswer: -540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f - 9. Let z be ((-4 - -1) + 36\/12)*1. Suppose z = -4*j + 12, 0*t + 4*j - 6 = 2*t. Does 12 divide m(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-215)\/129*(-264)\/(-20)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**3 + 24*h**2 + h - 425. Let x(k) = -5*k**3 - 17*k**2 - k + 283. What is 5*n(p) + 7*x(p)?\nAnswer: 5*p**3 + p**2 - 2*p - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f - 1. Let i be y(-1). Suppose 90 = 2*t - x, -i*x - 35 = 2*t - 3*t. Let u = t + -8. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*i - 427*i + 1 - 1.\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66 - 56*y**4 + 100*y**4 - 48*y**4 wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/6 - (9 - 0). Let g be ((-4)\/6)\/((-2)\/f). Sort -8, 0, g in decreasing order.\nAnswer: 0, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 7*q**6\/60 + q**5\/15 - 4*q**2. What is the third derivative of c(g) wrt g?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, 37, 111, 165, 193, 189, 147, 61?\n\"Answer: -b**3 - b**2 + 98*b - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.916216ml?\nAnswer: 0.000916216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -625*j**4\/4 - 3973*j**3\/6 - 3900*j**2. What is the first derivative of t(w) wrt w?\nAnswer: -3750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/2 + 235*k**2\/2 - 1338*k = 0. Calculate k.\nAnswer: 0, 12, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -24*k + 1266. Let b(j) = 5*j - 237. What is -16*b(c) - 3*z(c)?\nAnswer: -8*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/360*24)\/(55\/25).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 60*w**3 + w + 5*w - w + 101.\nAnswer: -60*w**3 + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -158.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, -491.7, 3, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - 3*v**3 - v**3 + (2*v - 1 + 1)*(-2*v + 2*v + 2*v**2) + 2*v**3 + 0*v**3 + 0*v**3 - 513*v**3 + 629*v**3 + 819*v**3.\nAnswer: 939*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 5*x**2 - 5*x + 2. Let p = -2 + -2. What is h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*s + 5*s. What is the hundreds digit of 10 + -9 + (s - 1) + 133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 + 1 - (-2 + 12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -6. Let d be (16\/(-12))\/(t\/3). Find the first derivative of 3 + 0 - v**4 - d*v**4 wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r**3 - 7*r**3 - 2*r - 5*r**4 + 3*r**4 + r**2 to the form f*r + k*r**2 + l*r**4 + w + j*r**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.501952 to 2 decimal places.\nAnswer: -141.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b**2 + 6*b - 3. Let a(z) = -z - 1. Calculate 3*a(c) - v(c).\nAnswer: 9*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -41103397 times -0.2\nAnswer: 8220679.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + z + 0 = 4, -4*a = -3*z + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271813407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 18*d + 104*d**3 + 13*d - 21*d**2 + 31*d**2.\nAnswer: 104*d**3 + 31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 * -5.\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 44*q + 301. Let h be m(-49). Calculate the highest common factor of h and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y = -34*y - 66 - 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9696 + 0.3488. What is a rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 158045646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + 1070853 = 1068973 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11834*w**3 + 13348*w**2?\nAnswer: 71004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 8*c**2 + 6*c + 10. Let s be l(7). Let b(k) = k**2 - 4*k + 1. Let n(f) = f**2 - 4*f + 1. Let z(m) = -4*b(m) + 5*n(m). Calculate z(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 + 3150 = -355*p - 6430 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-12)*(-42)\/(-364)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9458039?\nAnswer: 109, 86771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-4) - 11\/(225456\/(-25588)))*-3. Which is the second smallest value? (a) -5 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 16 (c) -1\/406 (d) -0.02 (e) 2 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:05 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -225 and -283480445.\nAnswer: -283480670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 79*i + 75*i - 16, -3*g - 7*i - 47 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-12) - (-28)\/(-3). Let z(v) = v**3 + 9*v**2 + 10. Let n(r) = -r**2 - 19*r - 31. Calculate the remainder when n(-5) is divided by z(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwgzwdwzbadg. Give prob of sequence db.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7110550 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.3, 176, -1172?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31023924 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 6*i**2 - 81*i + 55. Give c(-8).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1049 - -222804.14.\nAnswer: 223853.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)*1)\/(sqrt(15)\/(2*sqrt(3))).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3244*v - 3160*v + 168 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 7. Let s(j) be the second derivative of -j**3\/6 + 3*j**2 + 2*j. Let r be s(x). Solve -4 = -5*n + r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 1069 + 803 = 0. Suppose 4*n - 94 = 2*s, 0*n = -5*n + 2*s + c. Calculate the remainder when 54 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*t = 12, 0 = t + 5 - 2. Solve 24 = -x*y + 3*q, 5*y + 3*q + 32 = 6*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.73 plus -372526?\nAnswer: -372522.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260 divided by 9.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3 - 5 + 4 - 1 + (2 + 2 - 6)*(-1 + 3 + 0))*(0 + 2 + 1)*(2*q**3 - 3*q**2 + 3*q**2).\nAnswer: -42*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1771 and 1610?\nAnswer: 17710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 4*a**2 + 19*a + 72. Let w be s(-5). Suppose -50 - 10 = -w*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -k - 5*y, -3*k = -21*y + 9*y - 144 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3101, -6346, -9737, -13274, -16957, -20786, -24761?\nAnswer: -28882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49756 + 49755.9952527. What is d rounded to 4 decimal places?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -148 and 2184691.\nAnswer: 2184543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 6*d - 14 + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 620, 5, 6 in descending order.\nAnswer: 620, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.092, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -21. Let m be ((1000\/(-12))\/5)\/((-1)\/(-3)). Let o = t - m. What is the remainder when o is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32885653 and 5.\nAnswer: -164428265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 9:34 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-540)*(-1)\/((-44)\/2310)\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 + 1 + 405168*r - 25*r**5 - 405168*r)*(0 - 1 + 3).\nAnswer: -50*r**5 + 10*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 5*x - 11. Let a(b) = -b**2 - 3*b - 5. Let c(n) = 9*a(n) - 4*w(n). Let y be c(-6). Let g(o) = o**2 - o - 7. What is the units digit of g(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 1. Let y(q) = 6*q**2 + 2*q - 8. Let j(w) = 5*m(w) + y(w). Let a be j(-4). Let b = -22945 - -22946. Does b = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36872 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a minute in seconds?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - (21 + (-67)\/3). Factor a*s**2 - 5\/3*s - 2\/3 + 5\/3*s**3.\nAnswer: (s - 1)*(s + 1)*(5*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2600?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25492 divided by -4?\nAnswer: -6373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25647869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1042*f**2 - 27. Let s(w) = -w + 1247. What is s(q(c))?\nAnswer: -1042*c**2 + 1274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(143)\/sqrt(1100) - -3*sqrt(13)*-5) + 1 + -5)**2.\nAnswer: 2384*sqrt(13)\/5 + 290213\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(114)*1 + sqrt(114)))\/(sqrt(6) - sqrt(18)\/sqrt(3)*-4)*-5.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 22295930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 161*x**3\/3 - 7*x**2\/2 - 13*x + 17. Let z be w(-2). Suppose -4*b + 3*s = -0*s - z, 5*s + 319 = 2*b. Does 27 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*k**4 + 5*k**3 - 12*k**2 - 91042*k wrt k.\nAnswer: 720*k**2 + 30*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 15 and 11593\/726 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6*l - l = -115, 4*d - 86 = 2*l. Suppose 0 = 4*r - 28 - 0. Let i(z) = -z**2 + 11*z - 17. Calculate the remainder when d is divided by i(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + v**3 + 3*v**2 - 2*v + 5*v + 0*v**3 to z*v + t + a*v**2 + b*v**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - i - 3 = 0, -5*b - 259*i + 256*i + 47 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - 13710687.\nAnswer: -13710716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 14) in base 13?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0325659 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*q - 3 = -22, 5*q = -35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -2 + -2 + -5 + 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -25, -4, 728, 3, 0.\nAnswer: -25, -4, 0, 2, 3, 728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g - 1\/6*g**4 + 1\/10*g**5 - 15 - 1\/2*g**2 + 1\/3*g**3. Let v = 8 + -7. Give p(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036808 rounded to 4 decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i - 89. Give h(22).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15282*p**2*x**3 + 2*p**2*x**2 - 3*p**2*x + 17*p**2 - p*x + 2106*x**6 - 3*x + 976 wrt x.\nAnswer: 91692*p**2 + 252720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -303101?\nAnswer: 303021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:31 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 3:49 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(108)*2 + -4 - -6*(sqrt(108) + (2*sqrt(108) - sqrt(108)) + sqrt(108)))*5 + 5)**2.\nAnswer: -18000*sqrt(3) + 1080226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 103 - 5*i + 326*i**3 - 327*i**3 + 103 - i. What is v(-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 26 = -5*i. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32175 - 5483. What are the prime factors of r?\nAnswer: 2, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -4\/3, -43?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 2*x**3 + 17 - 11*x - 1.\nAnswer: -2*x**3 - 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 - 25*b + 9. Calculate c(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -54, -228, -582, -1176, -2070, -3324, -4998?\nAnswer: -7152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (476*p - 476*p - 3*p**2)*(p + 3 - 3)*(0 - 1 + 0) in the form q*p**2 + b*p**3 + w + z*p and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*j**4 + j**3 - 5*j**2 + 347783*j?\nAnswer: 1260*j**2 + 6*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -1\/30*x**6 + 0*x**2 - 7*x + 0*x**5 - 1\/6*x**3 + 0*x**4 + 0. What is the second derivative of i(h) wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*h**5 - 3*h**3 - h**2 - 3\/2 + 7\/2*h + 5\/2*h**4 = 0. What is h?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1 + 0)*(-105)\/(24 - 3). Suppose 0 + 2 = t. Let s be -3 + g\/20 - (-1 - t). Sort s, -5, 0.2, -0.5 in decreasing order.\nAnswer: s, 0.2, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121043 = 2884*z + 74835 + 6002 for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (0 + 1 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/12)\/(3\/24). Let r(j) = 2*j + 12. Let m be r(l). Let f(p) = -p**2 + 8. Give f(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 914, 1473, 2032, 2591, 3150, 3709?\nAnswer: 4268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120952*o**4 + 26*o**2 + 3*o - 3?\nAnswer: -2902848*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44861 is divided by 4980?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 83318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 249 + 63. Let b = 333 - o. Calculate the highest common divisor of b and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - k + 2 = -24, 0 = 4*n + 3*k + 26. Let t(x) = -x**2 - 7*x + 1. Give t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 12*a - a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(350)\/sqrt(2)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 65 - 14 = 74*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/((-286)\/(-363)) - -17. Put -2, 3\/14, h, -3 in decreasing order.\nAnswer: h, 3\/14, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/11 and (-35)\/(-90)*272\/28.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - ((sqrt(121) - ((sqrt(121) - (-1*1*sqrt(121) + sqrt(121))) + sqrt(121))) + sqrt(121)))\/sqrt(11) - ((sqrt(176)*-1 - sqrt(176))**2 + 1).\nAnswer: -705 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -35. Solve b = i + 2 - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(3\/(-1))*0. Suppose 0 = 3*i + 2*l - 3 - 1, -4*i + 2*l + 10 = p. Solve -3*o + 32 = -0*o + 4*f, -2*o + i*f - 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1980)*-6 + sqrt(1980))\/((sqrt(50) - sqrt(800))\/sqrt(10) + 1*sqrt(5)*4).\nAnswer: -66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - u + 1381 = 0, -80*u = 5*f - 84*u - 3420. Calculate the least common multiple of f and 774.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1442133 - 3266?\nAnswer: 1435534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = -4*c + 88, 36 = -2*u + 2*c + 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 57*h + 356. Calculate the remainder when 4639 is divided by w(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*l - 24, -23 = -x + l - 5*l. Let k be (-6)\/(-4)*(-4)\/x. Let z = 8 + k. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 9*n + 1056 + 108 = -22*n, 19*n - 435 = -5*x + 24*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 1. Let b(w) be the third derivative of 3*w**4\/8 + w**3\/2 + 1271*w**2 - 2*w + 1. Calculate 6*b(a) - 21*m(a).\nAnswer: -9*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (54\/12 - 9)*((-42280)\/4)\/5?\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 21*f**2 - 4*f - 3. Let o be y(-3). Suppose 4*k + 132 = 2*w, -2*w = w - 5*k - o. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15657 + u + 3*u - 15658)*(2*u**3 + u**3 - 5*u**3) in the form c + f*u + o*u**3 + q*u**2 + m*u**4 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and -1465116?\nAnswer: 29302320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9*i**2 + 12800\/9 - 320\/9*i = 0. What is i?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m**3 - 12*m**3 + 12815*m - 12826*m.\nAnswer: 10*m**3 - 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 26 - (0 - 14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.27 + -0.27000066. What is b rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/(-7) + (-165)\/(-66) + 5\/2. Let l = 5.4 + -5. Put l, p, -5, -0.1 in ascending order.\nAnswer: -5, p, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -716 (base 10) to base 2\nAnswer: -1011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 50\/13, 0, -0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 12*g + 4*g)*(-g**2 - 14 + 10 + 3).\nAnswer: 10*g**3 + 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + (4 + -2 - 16) - 5) + -6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.4, -0.1, 4087, 36.\nAnswer: -0.1, 8.4, 36, 4087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -59578?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 - -34 - (-32 + 32 + -1 + -19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.161\nAnswer: 0.0483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 6958. Let o(r) = -210*r. Determine s(o(m)).\nAnswer: 210*m - 6958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 2 - 3\/5*h**2 + 1\/5*h**4 + 4\/5*h - 2\/5*h**3. Factor z(u).\nAnswer: 2*(u - 2)*(u + 1)*(2*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, i: 15}. Give prob of picking 3 a.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*l = -4, -3*p + 8*p + 5*l - 20 = 0. Let d be 3*(28\/(-3))\/(-7). Factor -d*a**p - 5*a - 4*a + 7*a**2.\nAnswer: 3*a*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-457)\/(12339\/2754)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*u + 29*u - 415. Let h = -61 + u. Calculate the remainder when h is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 4. Let w = d - 3. Suppose 3*h - w*h - 34 = 0. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let o be -65*(-14)\/175 - 1\/5. Let k(z) = -z**2 + 25*z - 225. Let i(a) = o*x(a) - k(a). Factor i(t).\nAnswer: (t - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -199 - -3385\/17. Let o(m) = -m**3 - 2*m**2 + 2*m - 4. Let y be o(-3). Is y less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56796*u**2 - 930*u**2 + 11185*u**2.\nAnswer: -46541*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuu. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 a when three letters picked without replacement from {h: 5, a: 4, t: 1, q: 2, s: 4}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/13 (c) 0 (d) -2 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -14 + 6 - -5) + 11 + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-30 - (-28 - -19)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 4, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 3. Suppose 0 = 4*c + 42 - 38. Let w be 26*c + (-3)\/(-1). Let g = 20 + w. Calculate y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2046*c**2 + 3445*c**2 - 833*c**2 + 1652*c**2.\nAnswer: 6310*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, 4\/5, -0.1, 1\/8 in decreasing order.\nAnswer: 155, 4\/5, 1\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 34. Let c(a) = 8*a**2 - 23*a - 31. Let b be c(-8). Let y = -660 + b. What is the greatest common factor of y and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxxxmxmmix. What is prob of picking 2 m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 27808870.\nAnswer: 166853220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17) + 3)**2*-5.\nAnswer: -210 - 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -742327\/436044 + 1\/31146. Let a = r - 13\/28. Calculate the common denominator of -5\/24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/28809 and -35\/28809.\nAnswer: 28809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3447102 and -156?\nAnswer: 156.3447102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10110?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62796719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*u + 102, 5*q + 25*u = 26*u + 93. What is the highest common divisor of q and 6414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x - 13. What is the remainder when 27 is divided by z(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 9*i - 9. Suppose -i*s + 7 = -2. Suppose -2*d - 5*h + 20 = -27, -h - 45 = -s*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24388455?\nAnswer: 3, 5, 7, 13, 17, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5013 = 6*y - 40*y - 4265 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 10)*(-29 - 63 - 68)*(2*t**3 - 2*t**3 - 2*t**3 + (-4*t**2 + t**3 + 4*t**2)*(3 + 1 - 2) - t**3 + 0*t**3 + 0*t**3).\nAnswer: 1600*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**9\/6720 + y**8\/20160 + 7*y**5\/30 + 4*y**2. Let c(j) be the third derivative of h(j). Give c(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42874?\nAnswer: 2, 13, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 217815747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 divided by -61?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351833 = -14*m + 61531. Suppose -27*t - 10*t = -m. What are the prime factors of t?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.8198792 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/69199 + 324751019\/968786. Let d = r - 335. Let t = 0 - -1. Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*p**2*x**2 - 148294*p**2 + 4*p*x + 5*x**3 - 3*x with respect to x.\nAnswer: -22*p**2*x + 4*p + 15*x**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14365 and 483353?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2)*a**(-3\/7))**(1\/9))**(-4\/21) assuming a is positive.\nAnswer: a**(-2\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-648)\/72 + 151\/6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9610 is divided by 2398?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.2, 164, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(272) + 1)**2*-3 + 1 + 2 + -3*(sqrt(612) + -1)*1.\nAnswer: -815 - 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300)*-3 + sqrt(1300))*-3 - sqrt(1300))*-2)**2 + 2 + 3*sqrt(1300) + -4.\nAnswer: 30*sqrt(13) + 129998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 34583 + 34427 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 4*i. Determine m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - u + 75 = -6*u, 3*k + 2*u = -65. Let r = 5 - -41. Let v = k + r. Calculate the greatest common factor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -44\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -22*j**2 + 4*j + 7. Let h(o) = 89*o**2 - 17*o - 29. Let k(x) = 2*h(x) + 9*p(x). Let a(u) be the first derivative of k(u). Is a(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460510 rounded to the nearest 1000?\nAnswer: 461000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 145433.8 meters?\nAnswer: 145433800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*j + 3*j + 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 233373, 466204, 699035, 931866, 1164697?\n\"Answer: 232831*j + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 - l - 5. Let y be p(5). Let k be (-53)\/11 - 2\/11. Let u(s) = 2*s**2 + 6*s - 5. Let o be u(k). What is the highest common divisor of y and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 2*v**3\/3 - 6. Let u(i) = -16*i**2. What is u(a(m))?\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -13*c**2\/2 - 24*c - 7. Let a be z(-2). Solve -12 = -5*v - a*k, -4*v - 3*k = -0*k - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.91. What is the second biggest value in y, 0, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*29\/136068*34\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -21*k - 24. Let z be o(-2). Let v(b) = b**2 - 10*b - 131. What is the tens digit of v(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(55) - 3*sqrt(880) - sqrt(55))\/(sqrt(5) + sqrt(5) + (sqrt(5) - 5*(sqrt(5) + (sqrt(5) - sqrt(5)*3))) + sqrt(5)).\nAnswer: -4*sqrt(11)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*y + 73664 = -190*y - 56852. Which is bigger: y or -489?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**6\/30 + 13*u**3\/6 + u**2. Let h(d) = d**3 + 3. Let a(b) = 20*b - 4. Let t be a(3). Let p = 74 - t. Give p*h(x) - 4*l(x).\nAnswer: 2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -25*s**5\/3 + 55835*s**4\/3 - 36796606*s**3\/3 + 2095121246*s**2 - 108390342435*s + 306644600025 = 0.\nAnswer: 3, 551\/5, 1005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - ((-423)\/10)\/(-9). Let r be (6\/25)\/(2\/10). Let y = r + x. Is -8 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) + 5*(1*sqrt(2178) + sqrt(2178)))\/(sqrt(30)\/(sqrt(5) - sqrt(15)\/(sqrt(3) + sqrt(9)\/sqrt(3)))).\nAnswer: 121*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p = -2*w - 280, -5*p = 3*w + 280. Let s = p + 613\/12. What is the common denominator of 27\/(-45) + 4403\/(-420) and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3071057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669020 is divided by 736.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 2*u + 9410934 + 9410987 - 18821921.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 79a4815?\nAnswer: -79a4815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2910892.30000096 + 2910891. Let k = 1.3 + m. What is k rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/(t*((t*t\/t**(1\/7)*t)\/t)\/t))**(3\/2)*(t*t**(-5)*t**(-1\/2))\/((t**(-2)\/t)\/t**(4\/7)) assuming t is positive.\nAnswer: t**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 22*a**2 - 16*a - 137. Let r be l(-22). Let c be r\/75 + (-10)\/(-75). Solve -c*s - 26 = -5*u + u, 4*s + 3*u = 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-450)\/(-6))\/(3\/2). What is the second derivative of o*a - 9*a - 22*a + 13*a**3 - 5*a wrt a?\nAnswer: 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1302 and 30318.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3741*v**2 - 4397*v**2 + 19*v + 2840*v**2 - 18*v.\nAnswer: -5298*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225630 (base 7) to base 10.\nAnswer: 40446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-576)\/(-10))\/(2\/10). Let a = h + -145. Let c = 2429\/17 - a. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -2.8. Let m = n + 2.9. Which is the second smallest value? (a) -2 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554*p - 48296 = 553*p + x, -x = 8. What are the prime factors of p?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 66 = 24. Let u = -36 - -18. List the prime factors of 4\/u - 958\/b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - (-138)\/(-14))\/(11 + (-22891)\/2079). Suppose -3*g = w - 604 - 206, g = 2*w + 263. Which is greater: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 6. Let z be x(-6). Let h be 2 + 1 + z + 2. Suppose 4*v - 17 = 11. Solve -o = -h*y - 13, 2*y + v = -o + 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 25 = 0. Let b(o) = y + 5*o - 15*o + 6*o + 5*o. What is b(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (391 - 382 - (2 - 24)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010001101001110000110 + -10?\nAnswer: 101010001101001110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - 306103d?\nAnswer: -3061050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d**4 - 117*d**3 + 162*d**2 + 48*d = 0. Calculate d.\nAnswer: -1\/4, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37166608 is divided by 187710.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 2628466.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5395*a**4 - 293*a**3 - 3509286*a**2.\nAnswer: -129480*a - 1758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 87 (c) -3 (d) 44433\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55026703285596 - -13.\nAnswer: -55026703285583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -463430 divided by 1\nAnswer: -463430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 283 - 32 = 0. Let q = -2207 - -2204. Sort q, o, -4 in increasing order.\nAnswer: -4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/(-35)*(-35)\/50 - 1. What is the closest to -1 in 78, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/315 and -10\/163743.\nAnswer: 17193015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -90, -196, -344, -534, -766, -1040?\n\"Answer: -21*d**2 - d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -41*y**2 + 38*y - 730. Let x(j) = 15*j**2 - 13*j + 239. Determine 4*p(i) + 11*x(i).\nAnswer: i**2 + 9*i - 291","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 - 82. Which is the smallest value? (a) l (b) -4 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*u + 10418 - 8038 = 0 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 76068628 divided by -1\nAnswer: -76068628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 28. Let i be q\/((-41)\/(-10) + -4). Suppose -2*u - 50 = -4*b, b - 30 = -7*u + 11*u. Calculate the highest common factor of b and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**3 + 14*p + 14. Suppose -119*g + 116*g = -18. Let c(x) = 2*x**3 - 5*x - 5. Calculate g*l(y) + 17*c(y).\nAnswer: -2*y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 208429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18\/11 (b) 133 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - v - 14, -2*u + v - 2*v = 6. Let d be 2*(99\/2)\/11. Sort -1, u, d in descending order.\nAnswer: d, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p**3 - 11*p**2 + 6*p - 9. Let s(a) = 16*a**3 + 21*a**2 - 11*a + 17. Give 6*s(m) + 11*w(m).\nAnswer: -3*m**3 + 5*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*c - 2*c + 6, 0 = -3*c - 12. What is the common denominator of -93\/20 and h\/(-3) - 442\/84?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/13*f**5 - 50\/13*f**2 - 8\/13 + 32\/13*f - 14\/13*f**4 + 38\/13*f**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*m + 24 = 357*m + 2*i, -4*m - 4*i = -32. Solve m*y - 4 = -4*f, 5*y + 37 = 5*f + 2*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156380 and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 97770.6 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 1072*r**2 + 27208*r - 257. Calculate u(26).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 5*b**2 - 2*b + 1. Suppose 2*r + 8 + 2 = 0. Let t be 6*((-5)\/2)\/r. Suppose 6*h - t*h + 12 = 0. Give o(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddaddddaadd. What is prob of picking 3 d?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 17031.33.\nAnswer: 17031.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrrp when four letters picked without replacement from {p: 4, j: 1, r: 3, k: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = -6*m. Is 5 a factor of ((-20)\/(-6))\/(m\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 4205.723?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 + 137. Let t(h) = 5*h**3 - 16*h - 6. Let o(n) = n**3 - 3*n - 1. Determine r*o(p) - 2*t(p).\nAnswer: p**3 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 845 + -837. Let c(g) be the third derivative of 1\/96*g**4 + j*g**2 + 0*g + 1\/960*g**6 + 1\/160*g**5 + 0*g**3 + 0. Factor c(k).\nAnswer: k*(k + 1)*(k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 5*i - 3*i, i = 2*b. Solve 5*m + b = -14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9282 rounded to the nearest one hundred?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 22. Let n = 129 + -107. Let q be a(n). Suppose q = -20*b + 24*b - 28. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 24 = 2*w, 3*w - 4*y = 12 + 2. Let a = -510 + 949\/2. Calculate the common denominator of 0\/1 - w\/(-8) and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 + 6)) + (12 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19497 is divided by 116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/52481 and 16\/1150545?\nAnswer: 14957085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -8*x**5 + 9*x**4\/4 + 7*x**3 + 5*x - 75. Find the third derivative of g(k) wrt k.\nAnswer: -960*k + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1226051?\nAnswer: 1226056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 1\/2*t**2 + 0*t + 1\/720*t**6 - 1\/60*t**5 - 16 + 1\/16*t**4 + 0*t**3. Let w(v) be the second derivative of q(v). Factor w(i).\nAnswer: i*(i - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 317*n**2 - 2. Let v be t(-1). Let u be (17160\/14)\/2 - (-45)\/v. Suppose 0 = -2*q + 3*b + u, 6*q - q = 2*b + 1505. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 189.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (10 + -9) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1520 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33356 (base 8) to base 6.\nAnswer: -145034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-2 + sqrt(171))*5 - (sqrt(171) + 0 + sqrt(171))*5) + -4)**2 + -2.\nAnswer: 420*sqrt(19) + 4473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**2*p)\/(p*(p*p\/p**(1\/2)*p)\/p)*(p\/p**(-2\/7))\/(p*p**4)*(((p*p\/(p**(1\/2)\/p))\/p)**(-2\/65))**(4\/9) assuming p is positive.\nAnswer: p**(-14291\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -684*s - 315*s - 20966 = 21991 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (((-8)\/16)\/((-3)\/78) - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -530 and -9?\nAnswer: 4770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94529*u**4 - u**2 - 6427 wrt u?\nAnswer: -2268696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z + 212. Determine s(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -m, -21*p + 23*p = -2*m. Suppose 1\/4*i**2 + m*i - 1\/4 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979.29358 rounded to zero decimal places?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/(3\/(-12)). Let c be (o\/4)\/(1\/(-46)). Let q = c + 14. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 108.6636.\nAnswer: -108.6636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16 + (-3 - 2) + 3. Suppose -7 + 6 = t + 3*i, 3*t = 2*i - w. Let s be 16 - (1 - 4 - t). Solve 0 = -5*l - 0*l + s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38574 - -6?\nAnswer: -3856c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**3\/3 + 5*y**2\/2 - 38*y + 8. Let f be x(-10). Sort -4, -5, f, 5 in increasing order.\nAnswer: -5, -4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 2. Let p = v + 35. Calculate the remainder when p is divided by 3\/(3\/5) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7 - 16*y - 25*y + 28*y + 6*y**2. Is j(-6) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22722829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**5*x**2 + 329*l**2*x**3 - 10*l*x**2 - 5*x**3 wrt l?\nAnswer: -40*l**3*x**2 + 658*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 118*z - 12042. Give f(102).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -199, -316, -451, -610?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = 0, -4*u = m + 29 - 209. Let l = -47 + u. Is (-785)\/(l + 1 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 53*q**2 + 5*q + 4. Let k be p(-1). What is the greatest common factor of 468 and k?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -10\/7*l**4 + 4*l**2 - 18\/7 + 4\/7*l**3 + 2\/7*l**5 - 6\/7*l = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1773*r - 1785*r = -24. Suppose 6 = 8*b - 10. Solve -r*l = -b*g + 12, -12 = l + 2*l - g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/165 and 39\/57990482.\nAnswer: 869857230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**3 - 303 + 150 + 153.\nAnswer: -29*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from tct.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*p = 271*p - 125*p - 1700 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.9579155 tonnes?\nAnswer: 957915500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2379655 is divided by 182.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/4883 (b) -109 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 291, 569, 791, 927, 947, 821, 519, 11?\n\"Answer: -5*x**3 + 2*x**2 + 307*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3835*v**2 - 103117*v**2 - 55478*v**2.\nAnswer: -162430*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17637.6 - 19727332.\nAnswer: -19709694.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 402951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -154511 - -1?\nAnswer: -154510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 5. Let m = 95 - -3. Let c = m - 53. Calculate the greatest common factor of t and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppvp when four letters picked without replacement from {l: 3, q: 1, p: 6, v: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + (-63 - -96) - (0 + -14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((264\/6)\/11)\/(1*2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*o + 395, 4*i - o + 6*o + 313 = 0. Let r = 91 - i. Suppose 5*x - 192 = r. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2262 + 2114 - 247*y - 3450 wrt y.\nAnswer: -247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r + 3*r**2 + 32*r - 22*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1312880673.359988 - 1312888903. Let m = p - -8227.54. Let c = m + 2.1. Round c to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 124267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = -4. Sort -4, d, 4 in decreasing order.\nAnswer: 4, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 10*s**3 - 90*s**2 + 3*s - 29. Let y be z(9). Let l = -15 + 10. Sort 3, y, l in descending order.\nAnswer: 3, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a + 9. Let x(s) = -2*s - 5. Let d be x(-5). Suppose 0 = -2*f + d*f - 192. What is the remainder when f is divided by v(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-60)*(-150)\/90*3\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 51 = 3*g, -v + g + 2 = -2. Suppose 5*h + 5*k = 0, v = 3*h - 3*k - 9. Let r be 21600\/h*(-125)\/(-10). Round r to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 17*a**2 + 71*a - 111. Calculate j(20).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s - 95*s - 855 = -38*s. Which is smaller: s or -13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -w - 5*n, 4*w + 8 = n + 104. Let p = w + -13. Suppose 0 = -4*g + 3*v + p, v + 2 + 1 = g. Is g less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 11 + 6*l + 14*l - 14*l. Suppose 0*j = -j + 2. Let w be t(j). Which is greater: w or -41\/5?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 5. Let y(f) = 1. Let b(k) = j(k) + 2*y(k). Let z be (-2)\/(-1) + (-20)\/(-55)*88\/16. What is b(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -11. Let j(a) = -a**2 - a - 7. Let n be j(0). Is x\/(-63) - 1339\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9189 - -9189. Let t(x) be the first derivative of 0*x - 2\/5*x**5 + d*x**3 + 0*x**4 - 22 + 7*x**2. What is the second derivative of t(i) wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - 9*y - 3*y**2 + 5*y**2 + 7*y**2 + 8*y**2 + 4. Let a(k) = 3*k**2 - 2*k + 1. What is -9*a(s) + 2*d(s)?\nAnswer: -3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -977*w**5 + 980*w**5 - 14*w - 16*w**4 - 18*w wrt w?\nAnswer: 60*w**3 - 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 8*n + 10. Let x be t(7). Suppose -540000 = -5*r + x*r. Round r to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + 24. Let b(p) = -p**2 + 4*p - 3. Let t be b(4). Let m = q - t. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/7, 53, 1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 610765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17472 + 17467. Which is the closest to -2\/5? (a) 3\/100 (b) 0 (c) y (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 32. Let t be k(-14). Differentiate -t*r**3 - 18*r**3 + 31 - 53 wrt r.\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29616490, 29616481, 29616472?\nAnswer: 29616463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605512 to the power of 1\/2, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -15 (b) -96 (c) -3 (d) -4\/3 (e) -1\/42 (f) 9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h - 3*h + 4 - 8*h. Let z be b(-1). Is 2826\/(-2)*(-1)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5053069, 20212227, 45477491, 80848861, 126326337, 181909919?\n\"Answer: 5053053*g**2 - g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o + o + 3*o**2 + 7*o**2 - 7*o to j*o**2 + r + n*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o = -48*o + 156. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-96)\/(-44) + (-2)\/11. Suppose d - 2*d = -y. Suppose -2*a + 108 = d*a. Find the common denominator of a and 59\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1800 divide 47876400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1762*p - 3037*p + 155584 = -324316 for p.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.048 and -42?\nAnswer: -2.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2044785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000005886 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = 5*f - 4*c, 4*f = -5*c + 154 + 117. Calculate the highest common divisor of 368 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1567710 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18863 - -18950. What is the smallest common multiple of 447 and m?\nAnswer: 12963","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 15. Let y(g) = g**2 - 2. Let q(k) = -3*k**2 + 5. Let p(s) = d*y(s) - 3*q(s). Differentiate p(a) wrt a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -6) + -7 + 9. Solve -d*p + 8 = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**5\/10 + g**4\/4 - 10*g**3\/3 + 6*g**2 - 72. Suppose c(h) = 0. What is h?\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(42)\/(2*sqrt(6)) - -1*(sqrt(1008) + -1 + sqrt(1008))**2.\nAnswer: -95*sqrt(7)\/2 + 4035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 484*q**2 - 472*q - 960.\nAnswer: -4*(q - 120)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4806377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:40 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -668\/15*f + 2\/15*f**2 + 55778\/15.\nAnswer: 2*(f - 167)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 2*a + 9, 0 = -a - 3. What are the prime factors of (-1)\/b - (-28)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 17*n - 5 - 10*n - 2 + n**2. Let h be s(-7). What is the remainder when 1 - -81 - (9 + h) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 330829145?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*q - 109, -15 - 56 = -2*g - 5*q. What is the remainder when g is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10668908.\nAnswer: 2, 2667227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 - 4*w + 6*w**2 - 3 + 2*w**2 - 5*w**2. Let h be p(-3). Let o = h + 12. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - 4*l**2 - 2*l - 7. Let u be y(4). What is the highest common factor of u and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -67, -167, -359, -673, -1139?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -53181000 rounded to the nearest 100000?\nAnswer: -53200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107633 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 30 = -2*t, 5*w - t + 9 = 6*w. Let p be (-20)\/3*72\/(-32). Is w less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14547929 and 7.\nAnswer: 101835503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgpjp. What is prob of picking 1 p and 1 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.5, -9\/35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 271401 divided by -21\nAnswer: -90467\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517916?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, 1.3 in increasing order.\nAnswer: 1\/3, 1.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from errgeyyn. Give prob of sequence ye.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(16\/6) + 1\/(-2). Put -1\/7, 2\/3, p in ascending order.\nAnswer: -1\/7, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - h - 67, -k + 216 = 2*k + 2*h. Suppose 0 = 4*o + 3*o + k. Let f be ((-12)\/10)\/(-2 - 17\/o). Solve f*z + z = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Suppose 3*k - 12 = -b, -2*k = -b - j*k + 12. Solve -2*c - b = -4*n + 10, 2*n = -c + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 746225 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 810, 6966, 23332, 55014, 107118?\nAnswer: 184750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*v - 20, -4*m = -56*v + 60*v. Put 1\/6, -53, -2\/15, m in decreasing order.\nAnswer: 1\/6, -2\/15, m, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2088 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2922 - -5271. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 373377*i**3*t**2 - 260553*i**3 + i**2 - 2*i*t**2 wrt t?\nAnswer: 746754*i**3*t - 4*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**4 + 127935*y**3 + 255855*y**2 + 127925*y = 0.\nAnswer: -25585, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 26 - (1 + -1 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*k - 84 = 0, -3*c = 5*k + 1 + 52. Let z be (-8)\/(-6)*(-39)\/c. Let x be (-6)\/(-4)*(-16)\/(-6). Put 1, z, x in descending order.\nAnswer: x, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -20, 1, 0.048, -1\/6?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104.2 + 101.2. Which is the nearest to 2? (a) -0.5 (b) 0.7 (c) 0.5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/((sqrt(108)*4 - sqrt(108))\/sqrt(12)))\/(-3*sqrt(396)*6).\nAnswer: -sqrt(2)\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/1003?\nAnswer: 5\/1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 54 - 22)*(15*l**2 + 4*l**3 + 21*l**3 - 18*l**3).\nAnswer: -406*l**3 - 870*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -222002111?\nAnswer: 222002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4545*q + 4550*q + 7 = 4*z, 7 = -2*q + 3*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 22 - 26 = 0. Sort 5, -6, m.\nAnswer: -6, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4552 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 323*b**2\/2 + 9100*b - 679042.\nAnswer: (b - 41)*(b + 182)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1906 - 1126. Is (o\/26)\/((10\/(-4))\/(-5)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8514 plus -0.66317165?\nAnswer: -8514.66317165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2721 - -2727. Let l(c) = c - 3. Calculate l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m + 196. Let u be n(-21). Calculate the remainder when 129 is divided by ((-4)\/(-6))\/(18\/(-81)) - u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*t - 396, -16*t + 264 = -14*t - 5*b. Calculate the greatest common divisor of t and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 times -244\nAnswer: -78.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1982303, -1982313, -1982339, -1982387, -1982463, -1982573, -1982723, -1982919?\n\"Answer: -x**3 - 2*x**2 + 3*x - 1982303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 9:00 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1581 and 4216.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 88\/12 - (-2)\/(-6). Suppose -2*k + g*k = 567. What is the remainder when k is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18554, -18558, -18562?\nAnswer: -18566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.04.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r + 82*r = 196. Suppose 0 = 4*p - 12, 13*b - 8*b + p - r = 0. Let u(c) = c**3 - 2*c**2 - 6*c - 4. Determine u(b).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 5:39 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-144))\/(2\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190389.\nAnswer: 3, 63463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 118325, 473339, 1065029, 1893395?\n\"Answer: 118338*d**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72666 divided by 18?\nAnswer: 4037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62333923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/11, 5, 1, 13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2522 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -1\/2123 (c) 0 (d) 3\/4 (e) -4\/3 (f) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-2*m - 1 + 1) + 2*m + 27 + 43 - 56.\nAnswer: 4*m + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 + -69. Let n be (-12)\/x*2\/(-2). Put -2, 0.4, n in ascending order.\nAnswer: -2, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (130\/(-6))\/(-5)*3. Suppose 0 = 10*y - j*y + 12. Solve -y*a = -a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -41, -0.2, -0.3, -39?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -34032\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2301, 4501, 6693, 8871, 11029?\nAnswer: 13161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdfdfdtfffxldvfxd. Give prob of sequence xdv.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1220771 + 146?\nAnswer: 1220907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934515932?\nAnswer: 2, 3, 19, 1493, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.5, -2, -0.1 in increasing order.\nAnswer: -2, -0.5, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13*t + 262. Let o be z(-20). Solve 4*l - r + 52 = 37, -o*l = 2*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172109737 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + j - 4)*(1 - 1 + 1) - j + 0*j + 3*j + (-3 + 12*j + 3)*(0 + 6 - 3) + j - j + j - 3*j + 3*j - j + (5*j - 4*j + 0*j)*(-4 + 2 + 0) - 4*j + j + 4*j.\nAnswer: 38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-nine fifths of a millisecond?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3099944 and -11.\nAnswer: 3099933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/55084 and -67\/21219060.\nAnswer: 997295820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f\/(f*f**(-3\/25))*f\/f**(-16)*f**(2\/89)*f*(f*f**(-2))\/f assuming f is positive.\nAnswer: f**(40367\/2225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106.669 + -2.479. Round h to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 - 7*k**2 + 2*k - 4. Let a be 2\/(-4)*(-3 - -11). What is the remainder when v(a) is divided by (-15)\/(10\/(-2)) - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -133, -260, -387, -514?\n\"Answer: -127*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 10. Suppose 2*r + 5*o = -6 - 0, -4*o = r. Let y = l - r. What is the smallest common multiple of 14 and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/1782*-18 - 11\/261?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -536506\/7 + 76644. Let i = 22 + -12. What is the nearest to -2 in 0, -1\/6, o, i?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 - 9\/6. Put 5, i, -1 in descending order.\nAnswer: 5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.3 - 2.66. Let w = h + 2.26. Let p = w - 2.25. Round p to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 - 350 = 5*o - 5*z, 6 = o + 3*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/5 - 11\/10. Sort 5, 2\/19, l, 2\/13.\nAnswer: l, 2\/19, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140216562 + 2?\nAnswer: -140216560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + u + 2. Let b(z) = 3*z**2 + z + 2. Calculate -2*b(o) + 3*q(o).\nAnswer: 3*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/95*(2\/(-21) + (585\/189 - 13))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23537 - -1?\nAnswer: 23538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - j**2 - j**2 + (j - 2*j**2 - j)*(-2 - 23 + 3))*(369*j - 369*j - 12*j**2).\nAnswer: -552*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - -d?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, 10303, -13, 3, 2\/7.\nAnswer: -13, -0.1, 2\/7, 1, 3, 10303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109080.06083 + 109081. Let u = 0.94 - j. Round u to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 45294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -47. Which is the closest to 0? (a) m (b) -1\/45 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*z = 46*z + 81*z + 615 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319, 495, 671, 847, 1023, 1199?\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/(-84))\/(-9))\/(18\/72)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c + 4*c)*(-35*c**2 - 34*c**2 + 72*c**2) + 0*c**3 - 3*c**3 + 2*c**3.\nAnswer: 23*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/225 and 56\/3?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 650 and 8\/36 + 15777\/81?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4009 and 1688?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 0, -8, -20, -36, -56?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11546427 times 0.4\nAnswer: -4618570.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3 + 4. Suppose -8 = 3*p - k*p. Let i be ((-3)\/(-2) + -2)*p. Which is the nearest to -0.1? (a) 4 (b) i (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4572 at least 4730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by -94\nAnswer: 59\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23223044 to the power of 1\/2, to the nearest integer?\nAnswer: 4819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1816704, 1816706, 1816708?\n\"Answer: 2*a + 1816702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2905092 (base 12) to base 16.\nAnswer: -7d6e2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/130419 and -143\/10728?\nAnswer: 155459448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 576430 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 839207366.085 from 5.\nAnswer: -839207361.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3681562 to the nearest ten thousand.\nAnswer: -3680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/8)\/((-8)\/(-16)). Find k such that 1\/2 + 5\/4*k - k**2 + c*k**4 + 5\/4*k**5 - 5\/2*k**3 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 71*a - 562 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -898 + 898 + 102*t.\nAnswer: 102*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4939 and 14564?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478201 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Suppose -p*l = -4*c - 8, -l + 4 = -3*c + l. Suppose -4*u = -5*w - 33, -3*u - 3*w = -c*u + 9. Solve 1 - u = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7363 + 7363.1. Which is the closest to i? (a) -1 (b) -0.3 (c) 0 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 40. Suppose 814 - 46 = n*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6388 + 1264829\/198. Let d = 10009\/396 - x. Calculate the common denominator of (237\/(-18))\/(25\/(-15)) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + z + 16. Calculate m(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5914, -19937, -42064, -72289, -110606, -157009, -211492?\n\"Answer: h**3 - 4058*h**2 - 1856*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -369 and -3.\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 18 = 0. Suppose 11 = 2*x - 3*w + 2, 3*x + 5*w = 23. Suppose 6 = 2*n - x. Calculate the lowest common multiple of p and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16440887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p**3 + 9*p**2 - 10*p - 11. Let q(j) = -8*j**3 + 10*j**2 - 8*j - 9. What is -4*c(m) + 5*q(m)?\nAnswer: -4*m**3 + 14*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 25 = 4*n. What is the units digit of 4\/(-3) + 1 + 219\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w + 4363 = -239*w - 7978 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 2:26 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -748*r**3 - 84*r**2 - 2706 with respect to r.\nAnswer: -2244*r**2 - 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111110100110 - 11001?\nAnswer: -100111110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*t + 4 - 17, 0 = 5*o - 2*t - 5. Let m(f) = 5*f**3 - f**2 - f. Let y be m(o). Let r = -2 - y. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*y = -36*y - 768*y - 100794 + 17514 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 640*u - 2*u**2 - 156*u - u**2 + 4*u**2 to the form r*u + l*u**2 + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + 3 + sqrt(20)\/(sqrt(40) + sqrt(10)) + (-5 + sqrt(2) + -1 - -4*sqrt(6)\/sqrt(3))**2) + -2)*-1.\nAnswer: -174 + 358*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - g)*(-g - 2*g + 4*g)*(1 - 4 + 2) - 3*g**2 + 2*g**2 - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(3 - 7 - -5). Suppose 2*f - 934 = -l*f - 2*m, 3*f - m - 703 = 0. Calculate the highest common divisor of 26 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 4:14 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300133 (base 5) to base 16.\nAnswer: 61d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 3*v + 20 + 16.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 2*t**2 - 2*t + 3. Let m be v(2). Let f(j) = j**2 - 11*j - 3. Let i be f(8). Let c = m - i. What is the remainder when 52 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/(3\/60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128532 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1765*0.14.\nAnswer: 247.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. What is the second derivative of -3*b**4 - b + m*b + 5*b**4 - b wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331815 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5951*(-42)\/3465 + 18\/135.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 60.4. Let g = 14 - j. Let w(p) = -p - 1. Let t be w(-5). Which is the closest to -0.1? (a) -2\/5 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2\/27 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.606 - -1.606. Let q = 1.4 - 1.2. Sort q, -5, a in decreasing order.\nAnswer: q, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:26 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*o*p*w**2 + 803244*o*p*w + 10*o*p + 19008*p*w**3 + 19*p*w**2 wrt w.\nAnswer: 20*o*p + 114048*p*w + 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1471 + -1473. Let j be (-6)\/3 + 6 + -2. Let m be j*(f + (-175)\/(-90)). Is 2\/5 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(8 - (1\/19 + 25476\/3667))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75213188.2 to the nearest 100000.\nAnswer: -75200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11148072333 to three decimal places.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u**3 - 84380*u**2 - 253275*u - 189990 = 0. What is u?\nAnswer: -3\/2, 4222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/(-6) + (-2)\/(-6). Suppose 4*t = 10*t. Suppose 26*g - 44 - 60 = t. Sort g, -4, m.\nAnswer: m, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/725 in -0.1, -0.2, 11, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 3. Let q be h(5). Let m = q + -6. What is the third derivative of 3*n**2 - n**6 + 0*n**6 - 6*n**m wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3, -23\/423?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1455695, 2911301, 4366907, 5822513?\nAnswer: 7278119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-4*sqrt(81))\/sqrt(9))\/(sqrt(192)\/sqrt(144)).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 s when four letters picked without replacement from {s: 3, b: 1, r: 5, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 6*n. Solve h + n = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-6*sqrt(38)*-2)\/sqrt(2))**2.\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -352.074 rounded to the nearest integer?\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 101 - 61f6?\nAnswer: -60f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + m - 4. Let p(k) = k**3 - k + 3. Let y(g) = -4*d(g) - 5*p(g). Let q(t) = -12*t**3 + 8*t + 8. Calculate q(u) - 8*y(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -1, -23 in decreasing order.\nAnswer: 3, -1, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-16)*3*(-16)\/(-120).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1005784 and 1152008?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18182, -18180, -18176, -18170?\nAnswer: -18162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 + 10*u**2 + 10*u. Let h(g) = -g**2 - 4*g + 53. Let t be h(5). Let w be t\/4*(-8 + -2). Let f(d) = -d**3 + 3*d**2 + 3*d. Give w*f(x) + 6*c(x).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2702 (base 8) to base 14.\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034072586 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 21026*q**2 - 21026*q**2 - 21*q in the form m*q**2 + n + p*q**3 + g*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -268 + 550 - 78*b**2 - 286 - 2*b**3 - 2*b to i + w*b**3 + j*b**2 + h*b and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 61*v**2 + 53*v + 816. What is g(60)?\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1 - 0)\/(88\/(-176)). Suppose -b = w + 294 - 2389, d*w + 2110 = b. Round b to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p + 20*p - 2632. Calculate the smallest common multiple of p and 2.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -23. Let c = 25.9968 - z. Round c to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12526.7 take away -862?\nAnswer: 13388.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**3 + 63 - 2*r**3 + 3*r**3 - 2*r - 3*r**3 - r**2 + 0*r**3 to c*r + n*r**3 + o*r**2 + m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 588650100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/5*r - 4\/5*r**2 + 48\/5.\nAnswer: -4*(r - 1)*(r + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**8\/2240 - q**7\/840 + 7*q**4\/4 - 3*q - 3. Let s(a) be the third derivative of t(a). What is f in s(f) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/61373252 and -29\/1136?\nAnswer: 245493008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2089348?\nAnswer: 2, 522337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 10 - -18 - 22?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**4 - 1236*v**3 - 4988*v**2 - 6252*v - 2504 = 0. Calculate v.\nAnswer: -2, -1, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*o + 6*m - 11, 25 = 5*o + 5*m. Let p = o + 2. Let l(s) = s**2 + 2. Is l(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 3:01 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2 - 25 - 22 + 47. Let y(n) = 2*n. What is y(p(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 9. Let t be y(-9). Let p be (4\/(-6))\/((-24)\/t). Suppose m - 3 = -3*n, 3*n - 2*m = -7*m + 3. Is p >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6634, 7086, 7538, 7990?\n\"Answer: 452*c + 6182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27, -40, -57, -78, -103?\n\"Answer: -2*w**2 - 7*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318029379?\nAnswer: 3, 106009793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342643 is divided by 6851?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*((-315)\/6)\/7. Solve 0 = -j*o + 3*o + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3428 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 7*r**3 - 12*r**3 + 14*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59.19 - 10.49. Round u to zero decimal places.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, n: 1, x: 2}. Give prob of picking 1 x and 3 u.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -1\/20*l**6 + 0*l**4 - 4*l**2 + 0*l**5 + 0*l - 7\/6*l**3 + 0. What is the derivative of z(t) wrt t?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -86*v + 5. Let j be c(-2). Let h = -157 + j. Let k be 1 + 1 + (4 - 6). Solve k*s - h = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1274351*k**2. Let i(s) = -8*s**2. Determine i(r(x)).\nAnswer: -12991763769608*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**0*k)\/k)**(5\/3))**(-14)\/(k**(1\/9)\/(k\/(k**(-2\/3)\/k))*(k*k**6)\/(k*k**(-4\/9))) assuming k is positive.\nAnswer: k**(-245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s. Let j(o) = 24*o**2 + 6*o + 12. Suppose 0 = 17*t - 10*t - 35. Let f(n) = 23*n**2 + 5*n + 10. Let r(z) = t*j(z) - 6*f(z). What is r(m(w))?\nAnswer: -1800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*b + 2*v, -b = -6*b - v + 11. Suppose -2*j - 16 + b = 4*u, 23 = j - 4*u. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 56 + 86)*(-92 + 92 + 5*c**3)*(0*c + c + c).\nAnswer: 1590*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + f + 6. Let g be s(0). Suppose 53 = -q + g. What is q rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - (-8 + -31)) + -18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (sqrt(2736) + sqrt(2736) + 1 + -1)*4)**2.\nAnswer: -1050720 - 4608*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38409 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*h**3 + 18*h**2 - 17?\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 14*v - 23. Determine m(16).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.592412 rounded to 1 decimal place?\nAnswer: -50.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 45 = -99. Suppose 65 = 5*k - 5*x, 0 = -4*k - x - 0*x + n. Suppose 5*d + k + 3 = 0. Which is smaller: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247598051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w + 5*h = 37, 0 = -5*h + 25. Suppose -5*r - 168 = 207. What is the common denominator of (r\/14 - w) + 3 and -83\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 15*f + 11. Let u(i) = -i**2 + 7*i + 5. Determine -4*p(s) + 9*u(s).\nAnswer: -s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -49e8e (base 16) to base 14\nAnswer: -7c47c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.77 - -5.87. Let d = z - 5.1. What is the third smallest value in d, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6324)\/(-465))\/34*(-45)\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, w: 3, h: 4}. Give prob of picking 1 e and 1 w.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -13.2. Do 1.5 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5235 (base 14) in base 16?\nAnswer: 374f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)\/(-4 + (2 - -1)). Let a(r) be the first derivative of r**4 + r**3\/3 + r**2 + r + 2. Give a(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 + b61?\nAnswer: b3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 594910 = 87*n. What is the thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/13)*y)\/y*y**9*(y**(-1\/2))**(16\/3) assuming y is positive.\nAnswer: y**(265\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((3\/(-4))\/(-3)). Suppose 0 = -j*y + y + 2*n - 2, -2*n = -y - 2. Let c be 4\/2 - (-14 + y). Solve -q + c = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (72\/16 + -7). Let w be (-10)\/84 + 38\/133. Sort 43, w, z in descending order.\nAnswer: 43, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -294919\/7 + 42269. Let w = y + -135. Find the common denominator of w and ((-3)\/2)\/(27\/(-276)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-10 + (-217)\/(-21)). Suppose -c*v**4 - 98\/3*v**2 + 28\/3*v**3 + 0 + 0*v = 0. Calculate v.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4692, -5680, -6668, -7656, -8644?\n\"Answer: -988*g - 3704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49989017 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137.27 + -138. Let d = t - -0.73000011. What is d rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 5*j**2 - 5*j - 1. Let k = 98 + -95. Let w be n(k). Differentiate 5*c**2 + 48 + 3*c**w - 30 with respect to c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c8 + 5?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*h = 3*u + 4, 3*u = -3*h - 6. Let w be u*(10\/(-4) - -1). Suppose -5*g = 4*y - g - 88, -12 = w*g. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 7*n + 3*n + 75, -22*n + 24*n = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2092 is divided by 347.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.6 - 1.6. Let f = 24.00000206 - w. Round f to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, r: 3}. Give prob of sequence rrr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((612\/34)\/6)\/(6\/198*3).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4828*f + 3487*f - 15892*f as m + c*f and give c.\nAnswer: -17233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4*9\/60 - (17960\/600 + -32)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539433 is divided by 1454?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + p**3 - p**3)*(-p**2 + 0*p + 0*p) + p**5 + 2*p**3 - 2*p**3 - 943 + 943 + p**5 + 1821*p**4 - p**5 + 2*p**5 + p**5.\nAnswer: 5*p**5 + 1821*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7947711 divided by -91353.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -30, -82, -172, -306, -490?\n\"Answer: -y**3 - 10*y**2 + 17*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 139 - 110 - 7 - 22.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 58. Let q be (-10)\/35 + 32\/14. Suppose -g = -q*h - 0. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(1\/2))\/g)\/g**(-5))\/(g**(-4)*g**(-1))*((g*g**(-2\/3))**9)**(-2\/19) assuming g is positive.\nAnswer: g**(349\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and ((-7332)\/(-104))\/(1\/6) + 32\/(-4)?\nAnswer: 12865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w + 106233 = 6*n, -9 = 3*w. List the prime factors of n.\nAnswer: 3, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.918? (a) -0.4 (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 20 = 2*j. Let o(m) be the second derivative of 4*m + m**2 + 0 + 1\/6*m**3. Determine o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1416 and -31\/15?\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -30) + -8 + (7 - (0 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5)**(6\/17))**(-13)*((i**5)**(-28\/9))**9 assuming i is positive.\nAnswer: i**(-2770\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2617650?\nAnswer: 2, 3, 5, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8361)\/(-18))\/(-3 - 7\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 19. Let t be p(-5). Let f(s) = s - 9. Calculate f(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y + 11*y - 188 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -4. Suppose b = x*b - 48. Suppose 0*o + 12 = 2*w + 2*o, 0 = 3*w - 2*o - 28. What is the greatest common divisor of w and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198741.\nAnswer: 3, 31, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4424)\/5688)\/((-52)\/(-117))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {a: 5, q: 2, c: 3, v: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r = 32*r + 45. Suppose -r = m - 21. Is 6 a factor of 2145\/21 - m - (-2)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2\/r)**(5\/7)\/((r**(2\/3)\/r)\/r*r)**43 assuming r is positive.\nAnswer: r**(331\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(2 + (-15)\/7). Let x = 64291\/36 + -1786. Let w = -1\/9 + x. Which is the nearest to w? (a) 1\/18 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in 1, 40, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -25 + 1\/2*g**2 + 5\/3*g**3 + 1\/4*g**4 + g. Calculate the lowest common multiple of 11 and m(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13342 - -13341.6. What is the second biggest value in y, 49.36, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19781599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -102795127, -102795124, -102795121?\n\"Answer: 3*q - 102795130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 798 and 31766?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 3*c - 8683, 1747 = t + 2*c. Suppose -t = -12*o + 2533. Let i = -237 + o. Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(88) + (-2*sqrt(88) + sqrt(88) + sqrt(88))*-5)\/sqrt(8) - sqrt(539)*2*4) + 4))**2.\nAnswer: -440*sqrt(11) + 33291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 25. Let r be ((-3)\/(-2))\/(t\/12). Find the third derivative of -3*m**2 - 4*m**3 + 4*m**2 - r*m**2 wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1\/j)\/j)\/j*j\/j**16)\/((j**1*j)\/j)**12 assuming j is positive.\nAnswer: j**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82\/3 + 27. Is o equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 862752?\nAnswer: -1\/431376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110100011001010 (base 2) to base 16.\nAnswer: 2e8ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8*u = 50. Let g be 1 + 1 + (0 - -1). Let q(x) = -x**2 + 150*x + 44099. Let m be q(-148). Sort g, m, u, 2 in descending order.\nAnswer: g, 2, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 3591*o - 3590.\nAnswer: -(o - 3590)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 46*c = 0. Solve c = -f - 3*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 90\/603389?\nAnswer: 90\/603389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 33*d - 986. Let v be l(-52). Let s(t) = -t + 23. Let b be s(21). Solve b*r - 2*c = 0, -5*r - 5*c + v*c - 32 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 60. What is the remainder when (2\/10*-71)\/(5\/(-25)) is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*q + 5*w + 21 = 0, -5*w - 3 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 19\/4 + 39\/(-4). Let u = 62 + i. What is the remainder when u is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1855 - -1850. Put -4, -17, 0, f in decreasing order.\nAnswer: 0, -4, f, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - 2 = 0. Suppose -v = -m - 0. Let w(i) = -i - 1. Let o(x) = 7*x + 6. Give v*o(d) + 5*w(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14310 + -15875.3. Round c to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/4 or -0.1709192?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-12*1\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -79506 and 698.\nAnswer: -55495188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i - 1. Let t be b(4). Let q be t\/11 + 7\/((-231)\/6). Let p = 1 - -3. What is the closest to -1 in 0.3, p, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 + 575*m\/2 + 271592\/3.\nAnswer: -(m - 1997)*(m + 272)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 40140*71.\nAnswer: 2849940","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/3, 69.\nAnswer: -4, 5\/3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, -5\/7, 2\/551?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6*0\/2. Let n(y) = 17*y - 3. Let z be n(3). Suppose m*p = 4*p - z. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -56 in increasing order.\nAnswer: -56, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3465986 is divided by 239?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356462460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 6380*q**2 + 2634468*q - 244240884.\nAnswer: -4*(q - 177)**2*(q + 1949)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*p - 105*g**3*t**2 + 15*g*p**2*t**2 + g*p*t + 2*p**2 - 49*p*t wrt t.\nAnswer: -210*g**3 + 30*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Suppose 2*v - k = 9. What is the remainder when 16 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(28\/(-8))*(-430)\/4. Let q = -203 + t. Calculate the smallest common multiple of 9 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(171)*4 - (sqrt(171) + sqrt(171) + 2*sqrt(171) + sqrt(171))*2)\/(sqrt(36)\/sqrt(144) + sqrt(225)*-4).\nAnswer: 12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.357155 to 2 decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -20. Suppose -5*u = l, 5*u + 9 = c - 6. Suppose c = t + t - 26. What is the greatest common factor of t and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*k = -74, 0 = 6416*g - 6405*g - 3*k - 148 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.048179858 to 4 decimal places.\nAnswer: -0.0482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 186889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 1\/2*h**3 + 0*h + 0 - 1\/30*h**5 - 8*h**2 + 1\/24*h**4. What is d(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**2\/2 + 12*h + 14. Let d be j(0). Suppose -o = 2*r + d, -5*o = -r - r + 12. Let b(g) = 3*g + 1. Give b(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2371 is divided by 340.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/4)*y)**(3\/47)*(y*y*y*y**(4\/7)*y*y)\/y**5)\/(y\/((y\/(y*y\/y**(-2\/3)))\/y*y*y)*(y*y\/(y\/(y**2\/y)))\/y*y**7\/y**(4\/3)) assuming y is positive.\nAnswer: y**(-30203\/3948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.4577 * -0.5\nAnswer: 0.72885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15485 is divided by 2097?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 152*a + 138. Let s(m) = 51*m + 46. Let t(n) = -3*o(n) + 8*s(n). What is the derivative of t(q) wrt q?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 811*k. Let z(j) = 2*j. Calculate z(p(v)).\nAnswer: 1622*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, -44, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x**3 + 29*x**2 - 6*x. Let g(n) = n**2 + n. Let i(v) = -d(v) + 4*g(v). Factor i(z).\nAnswer: 5*z*(z - 1)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 206, 204, 192, 164, 114?\n\"Answer: -f**3 + f**2 + 2*f + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6834907 (base 10) to base 7\nAnswer: -112044562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15766 times 0.36?\nAnswer: -5675.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339921.\nAnswer: 3, 179, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3 - -39)*2\/6 and 136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2072*y + 2006*y - 2*q - 344, y - q = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 3:27 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100001100100 + 1000?\nAnswer: 1100100001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 620, 615, 610, 605, 600?\n\"Answer: -5*h + 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12405425 is divided by 3333?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v - 219 = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/3*z**2 - 19\/6*z**4 - 1\/6*z**5 - 38\/3*z**3 + 56\/3 + 32\/3*z.\nAnswer: -(z - 1)*(z + 2)**3*(z + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w + 0*w)*(-5 + 4 + 0)*(-4*w - 6*w - w).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4129 - -4129.5. What is the second smallest value in q, 137, 0.11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807965348?\nAnswer: 2, 19, 10631123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 83 + (5 + -2 - (3 + 11 - 4))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001647 rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/17))**(-1\/10))**(1\/9) assuming z is positive.\nAnswer: z**(1\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 16*k = -104*k + 2358 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 109390.02 months?\nAnswer: 9.115835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1096*h**2 - 1640*h**2 - 214*h**2 + 5*h**2 - 868*h**2.\nAnswer: -3813*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1211, -5, 2\/107, 2.\nAnswer: -1211, -5, 2\/107, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0*z)\/z)**(-1\/6)\/(z**(-8)\/z*z**(11\/5)\/z*z) assuming z is positive.\nAnswer: z**(199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 17*f**2 - 21*f + 70. What is h(15)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -8039 + 8025 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48170.\nAnswer: 2, 5, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*d + 2*k + 10, -2*k + 15 = 5*d. Suppose 0*r + 5*r - d = -u, 0 = 2*r - 5*u - 12. Suppose 5 = p - a, 2*a = p - r - 0. Solve 2*x + x = -p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14310*p + 14311*p = -w + 47, 4*w = -4 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1008)*2 - ((sqrt(1008) - (1 + sqrt(1008))) + 2))*-1 + 0 + -2*(-4*sqrt(1008)*-2)**2.\nAnswer: -129026 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -663, 2, -2, 5 in descending order.\nAnswer: 5, 2, -2, -64, -663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1433383476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-20))\/((-1)\/(-10)). Suppose -c*v + 83792 = 12696. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -623.87 * 2.\nAnswer: -1247.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.12, 0.4, -4800\/23?\nAnswer: -4800\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 382 + -44. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 6*b**3 + 3*b**2 + 52*b + 60.\nAnswer: -(b - 3)*(b + 2)**2*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 7 - 3 = 0. Suppose -354 - 891 = -3*k. Let j = -2074\/5 + k. What is the second smallest value in 1\/3, j, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 108 = -18 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 22 = 29 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 537632 to the power of 1\/2, to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h - 31. Suppose 0 = -3*g + 4*a - 17, -24*a + 21*a + 18 = -3*g. Let w(k) = k - 21. Calculate g*w(p) + 5*d(p).\nAnswer: 3*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3925 - -4314. Calculate the remainder when t is divided by 189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 3 + 3 = 0. Solve 1 = -b*d + d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 8) in base 4?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/44 + (-168)\/(-198).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (980 + 227*n - 980)*(1 - 4 + 1)*(3 + 8 - 6) to the form f + j*n and give j.\nAnswer: -2270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 4*s**2. Let w be o(-5). What is the tens digit of 2\/10 + (-420)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6 + 3)*13\/5 and 41\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/7 (b) -0.4 (c) -425 (d) 3\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*f + 673 + 465 = 0, 0 = -3*f - 6. Calculate the remainder when l is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 208261. Let o(b) = -12*b. Calculate d(o(c)).\nAnswer: 24*c + 208261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - k + 5 = -0*k, -8 = -5*f - 4*k. Let x = 3 + f. Solve 2*q = -2*b + x*b - 23, 3*q = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 1. Let v(w) = 3 - 7*w - 1 + 3*w + 2*w. Give -2*n(y) + v(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sstt when four letters picked without replacement from {s: 3, t: 7, e: 8}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4, 11*b - 14*b - 5687 = -5*q. Let f = q + -10232\/9. Factor 0 + f*u + 2\/9*u**2.\nAnswer: 2*u*(u + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2361 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (318\/(-72) - (-23)\/138) + 6\/(-8). Let r be -4*(10\/(-4) - -2). Sort 4, -2, h, r in increasing order.\nAnswer: h, -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n - 2*n - 3*n + n + n + (3 + 0 - 1)*(-n + 0*n + 0*n) + n + 0 + 0)*(11 + 15 - 8)*(4 - 4 + 1).\nAnswer: -90*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 306 or 305?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 56 - 40)*(z**4 + z**4 + z**4).\nAnswer: -138*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*u - 6 + 3 + 28*u + 1.\nAnswer: 231*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6276 + 6276 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 11*a. Let g(d) be the third derivative of d**5\/60 + 5*d**4\/24 + 3*d**2. Let j(f) = -13*g(f) + 6*n(f). Give j(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-15)\/(-36) - 2\/(-2). Which is the biggest value? (a) i (b) 1\/11 (c) 3\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/18 - -1 - (-18)\/27. Let c = -2.93 - 0.07. What is the smallest value in -5\/4, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(252))**2.\nAnswer: -36*sqrt(7) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 717605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -14*r + 25. Solve -5*g = x + 22, -22 = x + r*x + 4*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:35 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*(-6)\/18)\/((-1)\/3). Suppose -1028*t + 1028*t + 9*t**2 - 6*t**3 - a*t**4 = 0. What is t?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(80)*6.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 733896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157786 is divided by 5086.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 843313\/6 and 140553 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-30))\/(a\/(a*a**(14\/3)*a*a)*a)*((((a*a**(-7)*a)\/a)\/a)\/a)\/(a\/((a*a**(4\/5))\/a)*a) assuming a is positive.\nAnswer: a**(-488\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x - 12*x - 24984. Let h = x - -1971. Does 52 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.031044 and -0.31?\nAnswer: 0.00962364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*76.6665.\nAnswer: 30.6666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 5. Let x(u) be the second derivative of -u**2\/2 - 138*u. What is v(m) + 6*x(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 16*w**2 - 4 + 5 + 2*w**3 - 5 - 6*w**2. Let i be l(-5). Let q(h) = -5*h + 3*h**3 - 2*h + 7*h**2 - 4*h**3. Give q(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m = 52*m - 1261514 + 1262333 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - 0.54. Let l = -0.391 + -0.009. Let w = 7 + -4. Which is the closest to 2? (a) l (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, -2\/9, 23, 0.5, 2\/5, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 26767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 130387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {i: 2, l: 4, h: 10}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.41856 - 27.88. Let y = 0.026 + -0.566. Let v = y + f. What is v rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 10 - 2 - (20 + -14 - -8)) + -126?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4*1\/(-6))\/(2\/(-51)). What is the remainder when 293 is divided by (34\/m)\/((-4)\/(-74))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.8 bigger than -264\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 4. Let v be w(0). Let c be v\/(-10) - 68\/(-20). Suppose 3*f - 5*x = 8, -4*x + c + 5 = 0. Calculate the remainder when 28 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10571040 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 305 - -195?\nAnswer: 49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200304 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -4, -1 in ascending order.\nAnswer: -38, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*f**3 - 3215*f + 5 + 3 + 0 + 3215*f.\nAnswer: 67*f**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 149 - 201240*y**2 + 201239*y**2 + 11*y + 9*y. What is f(26)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 2*i + 0*i + 0 + 0 + i + (-2 + 0 + 1)*(-4*i + i + i) + 0*i - i + 2*i + 5*i + i - 3*i - 4*i + 3*i - 3*i to o*i + l and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 6*r - r - 3*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2619 and 28468071?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 27*j**2\/2 + 37. Let v(i) = 23*i. Give v(u(o)).\nAnswer: 621*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*1\/9*18\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, 4 in descending order.\nAnswer: 4, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -106001 and -0.00917.\nAnswer: 972.02917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -44*n**3\/3 + 21*n - 27. What is the derivative of p(f) wrt f?\nAnswer: -88*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((102984\/(-4879) - 74\/(-1517)) + 21)*-7?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 7 = -55 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 472 + -297. Let x = w + -200. Does x = -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61112 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 225605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (-3*(sqrt(396) + sqrt(396) + 1*sqrt(396)*-3 + 3 + sqrt(396)*3) + -5)**2).\nAnswer: -43371 - 3024*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114948980.\nAnswer: 2, 5, 43, 383, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 423605 >= 423617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.168, 1\/2, -279?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*g - 1806 + 4883 - 727 = -4090 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*t**6 - 54*t**5 + 42*t**2 - 6*t**6 + 59*t**5 + 3 wrt t?\nAnswer: 1080*t**3 + 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -268858 greater than -268858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (sqrt(66)*1)\/sqrt(6)))**2*4 - 3*((sqrt(99)\/sqrt(36) - sqrt(11)) + (3*(sqrt(11) + 1))**2 + -2).\nAnswer: -537*sqrt(11)\/2 + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 4*a**2 + 3*a**2 + (4*a - 3*a - 3*a)*(4*a - 2*a - a) + 4 - 4 + a**2 + 2 in the form u*a**2 + t + r*a and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4957 - -3464. Which is smaller: n or -1494?\nAnswer: -1494","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429 a factor of 342607286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 62\/22 - (-4)\/22. Let b(p) = p - 3. Let u be b(6). Find the third derivative of t**u - z*t**3 + 0*t**2 - 13*t**2 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4 + 10. Suppose -6*h - 32 = -14*h. Suppose 2*c + 0*c + 4 = 0. Put d, h, c in decreasing order.\nAnswer: h, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 47*m**2 + 83*m + 81. Give j(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4) - ((-63)\/(-7) - 1356\/8). Solve -5*w + o - 122 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-2) + 14)*4\/16. What is the closest to 0 in a, -1.6, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 103 (c) -1\/6 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2245349, 2245344, 2245339, 2245334, 2245329?\n\"Answer: -5*a + 2245354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 - s. Let f be u(1). What is the units digit of 150\/14 - f\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 4. Let l(v) = v - 1. Suppose 0 = k - 3*x - x - 11, 4 = -4*k + 4*x. Let b be l(k). Is h(b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 61*y**4\/3 + y**3\/2 - y**2 + 12*y. Let t be x(1). Suppose c - 53 = t. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33948 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 384321, 384521, 384725, 384933?\nAnswer: 385145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 16*m + 51948 = 0. What are the prime factors of m?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3274061.5 + 0.3\nAnswer: 3274061.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 102 = 4*h - 0*h - 7*o + 39, -18 = 3*h - 14*o + 16*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b**2 + 2021 - 2021 - 4*b + (-2*b + 2*b + 2*b)*(5*b - 27*b - b) + b**2 - 4*b**2 + 2*b**2 + (5 - 2 - 1)*(0*b**2 + 2*b**2 - b**2).\nAnswer: -53*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 3. Let t(m) = 3*m + 1242. Give 2*b(g) - t(g).\nAnswer: g - 1236","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*2 - (2 + 0). Let z = 48 + -50. Let k be 4 + z*(-2 - -4). Solve w*c + 2*c = k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i**2 + 15*i**2 - 460*i - 57*i**2 + 10*i**2 + i**4 + 17*i**2 + 2 to the form o*i + t*i**4 + q + u*i**2 + n*i**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16323945 divided by 615\nAnswer: -26543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 153 - -30?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/4 + 3 - -6. Let g be 4\/14 + 12\/l. Suppose -m = g*c - 25, 0*m + 45 = m - 2*c. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 36, 93, 200, 375, 636, 1001, 1488?\nAnswer: 2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36602 (base 7) to base 8.\nAnswer: 22525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + 0.23. Let f = -0.32 + x. What is the second smallest value in 0, f, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1892111 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/48)\/((-2 - 309\/(-48))\/(123\/738))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2. Let o(x) = 861*x - 5546 + 5546. Calculate o(g(c)).\nAnswer: 861*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 5 - 2)*(-5*k + 2*k - 2*k - k) to f + p*k and give p.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 4*m + 165.\nAnswer: -(m - 15)*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + (-3 - (3 + -6)). Let k be 1 - 3\/(g\/(-4)). What is the third derivative of 0*n**k - n**2 - n**3 - 2*n**2 + 2*n**2 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/68 and 23\/28.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 28*h**2 + 2. Let j(p) = -221*p. What is j(l(s))?\nAnswer: -6188*s**2 - 442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 943 and 7052?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-1)\/2 - 1). Let f = d - 3. Factor 10\/7*n**3 + 2\/7*n + f + 8\/7*n**2 + 4\/7*n**4.\nAnswer: 2*n*(n + 1)**2*(2*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 1, l: 2}. Give prob of picking 1 l and 1 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*r**3*z + 2*r**3 - 3642*r**2 - 22*r*z + z wrt z?\nAnswer: 10*r**3 - 22*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5442 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 271237.5 to the nearest 1000.\nAnswer: 271000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*d + 0 + 0 as k + f*d and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146.016 + 145. Let k = r + 0.016. What is the second biggest value in k, 1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 344 and 129?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 2, -20, 1 in ascending order.\nAnswer: -21, -20, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63039 + -39928. List the prime factors of j.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -95, 53 in decreasing order.\nAnswer: 53, 2\/7, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 18. Suppose -r = -2*b + 47. Suppose 0 = 4*t - 0*t - 56. Calculate the remainder when b is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -3\/9451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -452492052 divided by 6\nAnswer: -75415342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*m - 565, 4*m + b - 55 = 397. Let w = 160 - m. Calculate the remainder when w is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/2 (b) 6 (c) -638 (d) -0.2 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-12)\/(-54))\/((-65)\/21 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150220409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 7. Let q be p(-13). Suppose -v = 5*v + q. What is v rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(7\/(105\/(-6))). Let a be (p\/3 + -2)*-12. Solve 7*u - a*u - 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/89, -116, 3556, -3\/5 in decreasing order.\nAnswer: 3556, -1\/89, -3\/5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - (sqrt(1539) + -1) - sqrt(1539))**2 + (sqrt(19) + sqrt(57)\/sqrt(3))*4.\nAnswer: -10*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270\/1575 + 24\/(-780)*-13?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67150, 134302, 201454, 268606, 335758?\nAnswer: 402910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048905 to the power of 1\/2, to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -22*(25\/(-2))\/5 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 800? (a) -2 (b) 2 (c) 444\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-49 - (-5 - 41))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 + 113 = 4*f. Let l be 1\/4 - (-22015)\/f. Let g = -113 + l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*r = -29*r + 110*r + 4*r + 3740 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 5.171114 millennia to months.\nAnswer: 62053.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6105, -48890, -164989, -391050, -763721, -1319650, -2095485, -3127874?\nAnswer: -4453465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -9*y + 55. Let s(l) = -l**3 - 2*l**2 + 4*l - 5. What is s(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 5*v - 14*v + 6*v - 388 + 122.\nAnswer: -v**2 - 3*v - 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.23 or 48.264?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 4*a + 2. Let l = 439 + -419. Calculate the smallest common multiple of s(-2) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42885836 divided by 4?\nAnswer: -10721459","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 17. Suppose -2*u = -2*p + 16, 4*p - 2*u - 24 + 0 = 0. What is the third biggest value in s, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 0*l**2 + 0*l**2 + (2*l + 3*l - 4*l)*(3*l + 12*l - 5*l) in the form f + z*l**2 + c*l and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177467 is divided by 1117.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 225 + 438145.84.\nAnswer: 438370.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:11 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1008) + -1 - (-2*sqrt(1008)*-2 + sqrt(1008) - sqrt(1008)))**2.\nAnswer: 288*sqrt(7) + 9088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u**4 + 24*u**4 - 32*u**4 + (0*u - 2*u**4 + 0*u)*(-5 - 6 - 8) to f*u**4 + a*u**2 + x + y*u + c*u**3 and give f.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/35*(-14)\/(-9)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -220, -6, 0 in ascending order.\nAnswer: -220, -10, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56\/153011 - -9128484145\/2448176. Let c = s + -3724. Let k = 2059\/14 - 147. Calculate the common denominator of c and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from wvwwwwvwvvsvvw.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(68)*6)\/(sqrt(4) + sqrt(12)\/sqrt(3)*-3 + sqrt(4)))**2 - (0 + (-1*sqrt(1700) - sqrt(17)) + -1).\nAnswer: 11*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/38 < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31105, 30926, 30747, 30568?\nAnswer: 30389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24080 by -7.\nAnswer: 3440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-468)\/1040)\/((-9)\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let l be (-4)\/8*-2*3. Let q(d) = 9*d**2 - l*d + 0*d + 3*d. Give q(o(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:44 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, r: 2}. Give prob of picking 4 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 170. Let p = l - 96.4. Put 0.4, 0, p, -1\/6 in descending order.\nAnswer: 0.4, 0, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 12*f + 0 - 22*f + 1.\nAnswer: -10*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6\/11, -0.3, 2, 30 in descending order.\nAnswer: 30, 2, 6\/11, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 0\/4)\/(-2 - -4). Put -48, -1, -5, b in decreasing order.\nAnswer: b, -1, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203214024 + -103?\nAnswer: 203213421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13840 and 72823312?\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 33*m**2 - 17*m**2 to the form x*m + o*m**2 + k and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 830 and 7802.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0126 in -0.054, 1\/6, 4?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-17)*w)\/(w*w**7\/w*w))**(-46))**(3\/7) assuming w is positive.\nAnswer: w**(3312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 76*l + 1416. Give m(-5).\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304003061.\nAnswer: 17, 149, 120017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 37. Suppose 2*a - a = n. Factor 2\/11*m**3 - 2\/11*m + 2\/11*m**a - 2\/11.\nAnswer: 2*(m - 1)*(m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 7*z**2 - 9*z - 13. Let m be d(-6). Suppose m = -2*l + 5*t, -5*t = -t - 20. What is the smallest common multiple of 18 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 581 = -284. Let j = -118 + c. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/1 + (-11)\/(-1). Let a = -3 + u. Suppose 4*b + a*n - 15 = 0, 5*b - 35 + 5 = 5*n. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 120 = -36. Is 6021\/k + 10\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 79. What is the closest to t in 0, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -118. Let f = h + -188. Let c = -139.0001 - f. Round c to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 33 - 21. What is the least common multiple of 9 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4 - -2)*432\/405. Factor 0 - h*f**2 + 2*f + 2\/3*f**3.\nAnswer: 2*f*(f - 3)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 9*f**2 + 9*f - 11. What is h(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0703 - 0.8587. Let u = f - -0.029. Which is the smallest value? (a) -4 (b) 2 (c) u (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -141, -535, -1193, -2115?\n\"Answer: -132*t**2 + 2*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -26667*i. Let o(d) = 59*d + 2. Determine o(z(q)).\nAnswer: -1573353*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-1\/9)*j**(4\/5)*j**(1\/23)*j*j**13 assuming j is positive.\nAnswer: j**(16513\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 2)*(8*c**4 + 10*c**4 - c**4) + c**2 - c**4 - c**2.\nAnswer: 101*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 8*s - 7. Let p be o(-4). Suppose -23*q - p = -2. Is q != 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(-6) - 129\/(-258). Let p(l) = l + 7. Let w be p(-6). Let u(g) = w - 1 + 10*g - 10*g**3. Let d(v) = 2*v**3 - 2*v. Give m*u(f) - 16*d(f).\nAnswer: -2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m - 5 + 6*m - 5*m + 2*m**2 - 2. Is r(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*w - 33, 5*w + y = -2*y - 55. Let k be (-1 - 3)\/(w\/22). Let f = 18 - k. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22011202221 (base 3) in base 5?\nAnswer: 20122240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2176\/816*765\/40.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/74009 + 293165\/212479839. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1053) - sqrt(13)) + 5.\nAnswer: 5 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.235 + -0.265. What is the third smallest value in -4, 3\/11, p, 1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/22 and (75\/9)\/((-48)\/(-9))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888*d**3 - 721*d**3 + 563*d**2 - 283*d**2 - 280*d**2.\nAnswer: -1609*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, k: 6, m: 4, d: 1, w: 1, j: 1}. Give prob of sequence kk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -126520, -1, 7, -2 in decreasing order.\nAnswer: 7, -1, -2, -4, -126520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30 - 2*t**2 - 40 + 6 - 12*t - 53 with respect to t.\nAnswer: -4*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 93192.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 43\/4 (b) 2\/13 (c) -1\/31 (d) 2 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14306, 14307, 14308?\n\"Answer: q + 14305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 3. Suppose -4*b - 7*d - 53 = -2*d, -5*b + 5*d - 10 = 0. Let r = b + -3. What is the units digit of z(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264168.\nAnswer: 2, 3, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (55742\/8 - 0) + 15\/60?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 + 21976\/(-469))*182\/(-4) + -9?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15057, -1.\nAnswer: -1, 2, 15057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 30 = -2*g. Solve -6*u**4 + 4*u**4 + g - u**4 + u**4 - 10*u + 12*u**3 - 2*u**5 - 4*u**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4524\/35, 2\/7, 43 in descending order.\nAnswer: 4524\/35, 43, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7 (b) 2 (c) -0.3 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuytutytstyu. Give prob of picking 1 t and 1 u.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/11)\/(f*f**(-1\/6)))\/(f*f**(-3\/7)*f**(-6)) assuming f is positive.\nAnswer: f**(2081\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9501, -9543, -9585, -9627, -9669, -9711?\n\"Answer: -42*z - 9459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*f = 144*f + 232*f - 3744 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15)*-2)\/(((-1680)\/(-1750))\/24)*6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151 + 151.00663. What is q rounded to four dps?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.223 - 0.007. Let x = d + 1.22962. What is x rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 - 2*j - 1. Let z = 6 - 2. Let v(s) = s**2 + s - 1. Let c(a) = z*v(a) + 2*q(a). Differentiate c(g) with respect to g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 534 and 1958.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 1678967581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6576\/(-1092) - -6*1. Let y = 99\/364 + n. What is the nearest to 2 in 5, y, -2\/29?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 3. Let g be r(-11). Let f = g + -5. What is the highest common factor of f and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -4 (c) 96\/19 (d) 0 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, a: 5, l: 7}. What is prob of picking 1 l and 2 a?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 2, e: 2}. What is prob of sequence wiw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - 143\/55. Let c = 3925 + -3903. What is the smallest common multiple of c and 34\/3*(0 - z)?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1727092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -743*x. Let v(z) = 29987*z**2 - 8*z. Determine l(v(b)).\nAnswer: -22280341*b**2 + 5944*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -13. Let r = v - -1.01. Let w = r + -4.01. Which is the nearest to 2? (a) 0.3 (b) -0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 1 + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*y**3 + 3944*y**3 - 3513*y**3.\nAnswer: -38*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/258362700 and 2\/23703.\nAnswer: 258362700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 275*p + 18. Let j(o) = -2*o + 2. What is 2*i(z) - 18*j(z)?\nAnswer: 586*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1169 + 1169. Solve -5*c - 5*l = 10, q*c + 3*l = 3*c - 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-23 - -6) + 12\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-1))\/((-52)\/78 - (-1)\/(-3)). What is the closest to b in -0.4, 2, -0.2, 2.55?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 31. Let s be i(-10). Let k be s\/3 - (-9671)\/(-57). What is the units digit of (-3 - (-87)\/27) + k\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.1, -12, -0.2, 1\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 788, 1580, 2372, 3164, 3956?\n\"Answer: 792*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 8*a - 15. Let w(b) be the third derivative of -a*b**2 + 1\/6*b**4 + 0*b**3 + 0 + 0*b - 1\/20*b**5. What is the second derivative of w(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 712, 1468, 2250, 3070, 3940, 4872?\n\"Answer: 2*t**3 + t**2 + 739*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3742557 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-206)\/4532)\/((-465)\/(-165))\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -19 - 7. Let s be (-2)\/1*5*n\/(-4). Solve m - 4*t = 18, s*t + 15 = 3*m + 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 4*u - 7. Let v be z(6). Suppose v = -2*h + 31. What is s in 16*s**3 - 5*s**4 + 2*s**3 + 3*s**2 + 7*s**4 + h*s**4 = 0?\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4219 + -164602\/39. Calculate the common denominator of y and -7\/1656.\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 2, r: 2, s: 4, b: 3, i: 2}. What is prob of picking 1 i, 1 b, and 1 s?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 24. Let p(w) = w**3 + 5*w**2 + 3*w. Calculate p(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30) + (-63)\/(-210).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.223 (b) -0.1 (c) -376 (d) -0.3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 10:04 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - c + 2 - 7, -2*c = i + 10. Let p(t) be the third derivative of i + 0*t - 1\/30*t**5 - 1\/2*t**4 + 5*t**2 - 3*t**3. Suppose p(f) = 0. Calculate f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13036378.\nAnswer: 2, 193, 33773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 + q - 3. Let o(z) = -11*z**3 + 5*z**2 - 12*z + 12. Give 5*g(d) + o(d).\nAnswer: -d**3 + 5*d**2 - 7*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*k = 880*k - 20520 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 34172201 divided by -7\nAnswer: -4881743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857921?\nAnswer: 461, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let i(m) = 3 + 2*m**j + m - 3 - 5*m**2. What is i(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*h + 5939333, 0 = -4*p + 19 + 17. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -408 - -661. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618642 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7915025 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 4.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = c. Suppose 3 = c*l - l. Sort 4, l, -1.\nAnswer: -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - -4)\/(2\/(-54)). Let h be (3\/9)\/((-24)\/j). Which is the closest to 0.09? (a) h (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*z + 1040 = 69*z. Let i = 264 - z. Calculate the least common multiple of i and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 267 + -274. Let c(u) = -2*u. Let d(r) = r + 0*r - 7*r. Suppose 0 = 5*i - 0*i - 10. Calculate i*d(o) + s*c(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2610796 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (-658546)\/(-49) - (-12)\/210*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -4\/5*l**3 - 17\/25*l**5 - 247 + 0*l**2 - 26\/5*l**4 + 0*l. Determine g so that j(g) = 0.\nAnswer: -6, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1896.62 or 2\/3?\nAnswer: 1896.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.334 (b) 3\/4 (c) 1 (d) 2 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/9 (b) -3 (c) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*c - 0*c + 81, 0 = 4*c + p - 101. What is the greatest common divisor of 39 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:09 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 28*y = -33*y + 15, 3*y = 3*o - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 1\/720*k**6 + 0 + 0*k + 1\/6*k**3 - k**2 - 1\/24*k**4 + 1\/240*k**5. Let p(z) be the first derivative of w(z). Factor p(i).\nAnswer: (i - 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, -4 in increasing order.\nAnswer: -4, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 9:33 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/(-6))\/(72\/(-96)). Solve 0 = -4*f - 2 - y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*w + 185*w = -193*w + 41772. What is the highest common divisor of w and 354?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/10*144\/336 - 876\/(-10). What is the highest common factor of 2697 and d?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*f - 12, -19*f - 2*a = -18*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 261167 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4896, 9729, 14420, 18897, 23088, 26921, 30324?\n\"Answer: -12*b**3 + b**2 + 4914*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-15)\/120)\/((-31)\/((-558)\/765))\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 6. Let n be 55\/25 - c\/5. What is the smallest common multiple of 59\/3 - n\/(-6) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21271)\/(-478) - 2\/(-4). Solve 46*o - z*o = 7 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1. Let g(f) = -168*f - 224. Let z(a) = 115*a + 150. Let p(x) = 5*g(x) + 7*z(x). Calculate p(o) - 70*y(o).\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454958, 454963, 454968, 454973, 454978, 454983?\nAnswer: 454988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/6 and 101\/3252.\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.3. Let r = 28.31 - 28.71. Which is the fourth biggest value? (a) -5 (b) r (c) -0.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 102*g - 208. Let w be q(2). Which is the closest to 0.3? (a) 18 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*w - 2*g, 5*g + 162332 - 162343 = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(1800) - sqrt(1800))**2 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -151970, 6, 2, -16, 5 in descending order.\nAnswer: 6, 5, 2, -16, -151970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -0.02, -0.4 in ascending order.\nAnswer: -0.4, -0.02, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 31 + -6)\/2. Solve 0 = q*s - 9*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 29652*w - 178020.\nAnswer: 3*(w - 6)*(w + 9890)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000381825173 rounded to 5 dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6069 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -114, -314, -860, -1926, -3686, -6314?\n\"Answer: -29*m**3 + m**2 - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -136169865 divided by -1163845?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -189548.\nAnswer: 11\/189548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 1\/8*h**2 + 0*h**3 - 3 - 1\/16*h**4 + 0*h. Determine m, given that p(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -7*b**4\/4 - 5*b**2\/2 + 2*b + 128. Let d(p) = -20*p**3 - 14*p + 6. Let k = -47 + 58. What is k*y(l) - 4*d(l)?\nAnswer: 3*l**3 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 5. Let q be i(3). Let z(w) = 13*w**2 - 14*w + 72. Let c be z(4). Calculate the highest common divisor of q and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 4. Let p be u(-3). Suppose -m + 40 = p*m. Solve 0 = 5*z - 3*x + 14, -2*x - 8 = -4*z + m*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 90 - 182 - 2*b + 92. Let v(l) = 40*l. Determine i(v(d)).\nAnswer: -80*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 3945 - 19038. What are the prime factors of t?\nAnswer: 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -4*r - 144. Suppose 0 = r*t - 14*t + 108000000. What is t rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-125)\/(-75))\/((-23618)\/(-1974) - (-108)\/(-9))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - (13 - (-14 + (26 - 14)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*o + 3 - 2, -a + 13 = 3*o. Suppose o*g - g = 55. Calculate the lowest common multiple of 3 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/3 (b) -1 (c) -1\/6 (d) 2\/81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 19328840.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1022?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 1.3, 1, 0.7, 0.1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 3}. What is prob of sequence fp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 5*f**2 - 4*f - 6. Suppose -13*v = -18*v + 10. Let g(d) = 0*d - d + d**2 + 6*d - 4 + v*d. Let z be g(-7). What is b(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/60*7344\/(-378) + 6\/10.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, 0, 1\/8, 8499, 0.4?\nAnswer: 8499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004475359094 rounded to seven dps?\nAnswer: 0.0000448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -98000000 rounded to the nearest 1000000?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2687 + 37?\nAnswer: 2702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2873, 2281, 1687, 1091, 493, -107, -709?\n\"Answer: -f**2 - 589*f + 3463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.070144 to one decimal place.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/9)*b\/b**(-3)*b*b**4*b**(-1\/4)*(b*b*b*(b\/(b*b**(-1))*b)\/b*b)**11*((b\/b**(-2\/9))\/b)\/b*b*b**(-1\/8) assuming b is positive.\nAnswer: b**(4613\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, 43, 146, 301, 508, 767, 1078?\n\"Answer: 26*n**2 - 27*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Find the second derivative of -u + 0*u + c*u**2 + 2*u wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-9) + (-4)\/12. Let h(m) = -3*m - 3. Let w be h(s). Solve 22 = 3*x + y + 3*y, w*x = -2*y + 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o + 6. Let r be n(6). Let f = r + -37. What is the remainder when f is divided by 8\/(-12) + (-112)\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*u + 20 = 0, 3*u = z + u. Let c be (-40)\/(-12)*6\/4. Solve 0 = -z*b + 16, 0 = -2*y + c*y + b - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = -24*d - 12. Let o(i) = i**3 - 4*i**2 + 2*i + 3. What is o(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 7*m**3 - 283 - 71 + 3*m**3 - 2*m**2.\nAnswer: -4*m**3 + m**2 - 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00509683 rounded to 5 decimal places?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g. Calculate the smallest common multiple of h(2) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 41, 17, 224 in descending order.\nAnswer: 224, 41, 17, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 140 - 4514?\nAnswer: -4364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*p + 5 = 0, 139*p = 2*t + 141*p - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 - 23*c**4 + 236*c**3 - 372*c**2.\nAnswer: -c**2*(c - 6)*(c - 2)*(c + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-20)\/(-35)) + -2. Put n, 1, -2, 3 in descending order.\nAnswer: 3, 1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8157171.\nAnswer: 3, 11, 151, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/25*10)\/2*(-13)\/(-91)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 3360*w**2 - 2394*w - 6*w**5 + 165*w**4 + 2*w**5 - 1432*w**3 + 630*w.\nAnswer: -4*w*(w - 21)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*a = -177*a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 14) to base 5.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 128 + 125 = -r + 30*a, -4 = -a for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -1\/5, 0.125, 90 in ascending order.\nAnswer: -1\/5, 0.125, 5\/3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395518 is divided by 240.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12 and -32\/13569?\nAnswer: 54276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 1 - (-104 + -1). Let z = k - 613\/6. Let j = -695 + 695. Which is the second smallest value? (a) j (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - 9758*i**2 - 9725*i**2 + 19483*i**2.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4251, 5, 0.08?\nAnswer: -4251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/16 - 4\/(-8). What is the biggest value in r, -5, -28, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14823 - 13471. Calculate the least common multiple of 16 and j.\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18726?\nAnswer: 2, 3, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5882, 5866, 5848, 5828?\n\"Answer: -m**2 - 13*m + 5896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11256?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 94, 1.53, -4, -0.3, 2.\nAnswer: -4, -0.3, 0, 1.53, 2, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13145, -26369, -39595, -52823, -66053?\n\"Answer: -w**2 - 13221*w + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3339830 and 2337881.\nAnswer: 23378810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 24*r + 89. Let g be x(-19). Let d(i) = -i**3 - 7*i**2 + 3*i + 1. Give d(g).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 248\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v + 33*v = -23 - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = -33*s + 25*s. Suppose -9*w = y - 8*w - s, 5*y - 3*w = 219. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 25 = k - 4*y, y + 5 = 0. Suppose a - 1 = -2*d + 1, k = -2*d - 5*a - 14. Calculate the remainder when 50 is divided by (19 - 3) + -2 + d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37182146?\nAnswer: 2, 227, 81899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 25*i + 90. Let q be w(31). Is (-144)\/q - (-27518)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 728, 743, 758, 773, 788?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - (-5 + (-3 - -7)). Let s(w) = 3*w - 33. Let t be s(f). Let a = t - -124. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9008 and 1056256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30*(-6)\/(((-169)\/(-78))\/(-13)). What is the highest common factor of 702 and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 + -253. Suppose f*n + 23630 + 72370 = 0. What is n rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(1\/18). Let g be (-8 + w)*(0 + 2). Let u(z) = -z + z + 7*z**g - 5*z**2. Let b(q) = -5*q. Calculate u(b(m)).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) 0 (c) 32 (d) -2151 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 161894600 rounded to the nearest ten thousand?\nAnswer: 161890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 10. Factor 4*g**2 - 2*g**2 + j - 2 + 0.\nAnswer: 2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 42. Let y be a(-10). Let w(o) = o + 1. Let m(c) = -3*c - 1. What is y*m(k) - 5*w(k)?\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0307723 to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344198513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7702000 to the nearest 100000.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*p = 12, -4*u + 8*u + 2 = 2*p. Suppose -u = 5*r - 11. Find the third derivative of 3*z**2 + 3*z**5 - 7*z**r - 17*z**5 - 25*z**2 wrt z.\nAnswer: -840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 11*h + 85 = 0. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2702, -5412, -8122, -10832, -13542, -16252?\nAnswer: -18962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a260 + -14?\nAnswer: -a274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-264)*(-90)\/(-75)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 1. Let f be l(7). Suppose -2*m - 11 = -9. Let w be 1*m\/2*2*-1. Sort f, w, 3.\nAnswer: w, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvvvvevnqnvnnvev. What is prob of picking 2 e and 1 n?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 2, 3\/4, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 180, 268, 374, 504, 664, 860, 1098?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:43 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/(8\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 + 2*o**3 + 21*o + o as k + a*o**2 + y*o + v*o**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21239, 21240, 21241, 21242?\n\"Answer: l + 21238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002948 to four decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 1971*l + 846264.\nAnswer: -3*(l - 296)*(l + 953)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -4.3. Let h = p + -3. Let n(s) = -s + 3. Let q be n(4). Is h > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgmcpmcbpxm. Give prob of sequence mcgx.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96751097.\nAnswer: 17, 19, 299539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/2)\/(672\/2240)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65126, 130211, 195244, 260207, 325082, 389851, 454496, 518999?\nAnswer: 583342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34892, -36672, -38452?\n\"Answer: -1780*y - 33112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1476\/(-144) + 1 + 7. Put 5, -6, a, 3 in increasing order.\nAnswer: -6, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-13) - (-26)\/169. Suppose j = -7*o - 4 + 46. Solve 5*b - 3*b = -o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3822 - 0.3822. Let x be (-26)\/(-72) - 2\/8. Let g = 0.1 + 0.4. Which is the closest to 0.1? (a) x (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13257 - -238723\/18. Let j(h) = 2*h**2 - 19*h + 6. Let n be j(8). Calculate the common denominator of (134\/n + -3)*(-4)\/(-16) and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*t + 174 = 0, 2*c + 2*t - 112 = -0*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 0) + -82 + 106 + -5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 465234.7 - -48?\nAnswer: 465282.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 12*i + 3. Let o be l(12). Let v(x) = 19*x + 42. Let y(r) = 37*r + 85. Let p(h) = o*y(h) - 7*v(h). Differentiate p(w) with respect to w.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -0.9 (c) 3 (d) -2 (e) -1\/508 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/12 and 89\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.98 + 0.02. Which is the nearest to -0.1? (a) -3\/2 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1\/23166, 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + z + 36. Let c be x(-6). Let w(m) = 15*m**2 + 6*m. Let l(a) = a**2 + a. Determine c*l(q) + w(q).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -877.\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -38*l**2 - 17*l + 3. Let m be f(17). Let h(s) = -s**3 - 4*s**2 - 1. Let q be h(-3). Is (-6)\/q - m\/45 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 10*i - 1. Determine x(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*w = 21, -2*a + 5*w = a - 24. Suppose 5*m - n = 316, -m = 2*m + a*n - 204. Calculate the greatest common divisor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22\/(-8))\/(2\/(-16)). Let s(r) = r**3 - 20*r**2 + 6*r - 18. Is s(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8345336.\nAnswer: 2, 1043167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 e when four letters picked without replacement from {e: 2, j: 10}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-11)*o)\/o**(-9\/5) assuming o is positive.\nAnswer: o**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ef when two letters picked without replacement from fefffeffeeee.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*t = -2*t - 22, -l + t = -40. Solve 0 = l*c - 16*c - 120 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2862358 and 9934066.\nAnswer: 168879122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 + (-57)\/(-21). Suppose 0 = c*q - q - 16. Solve 0 = -5*o + 23 - q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-17))*b)\/(b*b\/((b*b**1)\/b)) assuming b is positive.\nAnswer: b**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -25*r + 14. Let x be (-2)\/17 - (-1180)\/(-85). Let d = x - -9. What are the prime factors of h(d)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.509 + -0.211. Let k = -0.42 - h. Which is the nearest to 0? (a) -0.5 (b) k (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 31 + 26. Let c = -6 - d. Let y be 13\/c + (-3)\/(-1). Solve y*f + 4 = -0*q + 5*q, 1 = q - f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 602807135 and -2.\nAnswer: 602807133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*g - 7. Suppose -5*y = -r + 15 + 1, -5*r = -g*y - 11. Is 3\/8 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 - -312. Suppose 43 - i = -4*w + y, -5*y - 56 = -w. Suppose -4*j = -w - 71. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593 divided by 593.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2. Suppose 2*i + k + 1 = 0, -4*k = 2*i + 3 + 7. Let f be r(i). Let q be (1 + -2 + 2)\/1. Sort q, -5, f in ascending order.\nAnswer: -5, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3155?\nAnswer: 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - q. Let p = -47 - -61. Let t(z) = p*z + 0*z - 11*z. Determine t(v(i)).\nAnswer: 6*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/48 in 1, -3, -2, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 2*k - 9 = 11*i, -2*i = -5*k - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 393.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 2. Let k(o) = g*o - 5*o**2 - 9*o**2 + 3 + 15*o**2. Let t be k(-8). Solve 0 = -4*a + 4*w + 4, -5*w = 3*a - w - t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 12. Let h be m(0). Let v be 209\/9 - h\/(-54). Let y = 36 - v. Is 13 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -39. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**5\/20 + 7*p**4\/2 + 98*p**3 - 6*p**2 + 49*p. Let s(q) be the first derivative of b(q). Determine o, given that s(o) = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*8*(-3)\/(16 - 10). Let c(f) = f**3 - 5*f**2 - 5*f - 4. Let m be c(6). Suppose 2*r = -m*r + 20. Put p, -5, r in decreasing order.\nAnswer: r, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbbbtbbybbybbbfbb. What is prob of picking 2 y, 1 p, and 1 b?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - l - 4, -m - 3*l + 34 = 54 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -818512.\nAnswer: -818512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131 is divided by 153.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ec3b5 (base 15) to base 4.\nAnswer: -2313020033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131200 (base 5) in base 4?\nAnswer: -11011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6055612742?\nAnswer: 2, 3027806371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 15*k + 8. Let j be i(11). Let r = j - 42. Sort -2, r, 1 in descending order.\nAnswer: r, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*z + 6*u - 4*u, -2475*z - 2*u = -2470*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447384.3m to micrometers.\nAnswer: 447384300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -0.2, 0.51?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/11 and -23\/120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 845.414 and -22.\nAnswer: -18599.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1429*a**2 - 798*a**2 - 148*a**2.\nAnswer: -2375*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121220000120122 (base 3) to base 4.\nAnswer: -202033113332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1688827*s**4 - 3*s - 1014230?\nAnswer: -20265924*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 2)*1.\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 43*k - 87. Let h be u(-45). Solve 14 = 2*g + 3*j, -h*g + 12 = -2*g + 4*j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.08*61.9.\nAnswer: -314.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8)*k**4*k\/k**6*((k\/k**17)\/k)\/k assuming k is positive.\nAnswer: k**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229 - -223.05. Let q = n + 0.95. Let b = -3.5 + 3. What is the nearest to 0.1 in q, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 2*r**3 + r**2)*(-3*r + 4 - 4) + (-36*r**3 + 137*r**3 + 116*r**3)*(-3*r + 9*r - 2*r) as d + y*r + m*r**4 + b*r**3 + i*r**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 875 and -3.\nAnswer: -2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*r + 6 = 0, -2*r + 555 = s + 550 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 747*(-20)\/(-2730) + -5 and -57\/4?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132235221 (base 6) to base 5.\nAnswer: 1133231331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*i - 47 + 47)*(i + i + 0*i) + 4*i**2 - 6*i**2 + 0*i**2 - 2 + 112*i**2 + 4 - 104*i**2 + 2*i.\nAnswer: -60*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 133141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16516306*k**2 + 9275098?\nAnswer: 33032612*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 0.7. Let u = -5 - -11. Let l = 11 - u. What is the second smallest value in -1, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, g: 7, d: 1}. What is prob of sequence dgg?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1008)*-2)**2 - sqrt(1008))*-1 + ((sqrt(140) + sqrt(140)*-2)\/sqrt(10) - sqrt(14))\/(sqrt(2) + (sqrt(96) + sqrt(24))\/sqrt(12)).\nAnswer: -145*sqrt(7)\/2 + 24192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1)\/(-1) + -1. Suppose 0*c = -c + 4. Suppose -c*y - 12 = -0*y. Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(260\/(-2))\/(-2). Suppose -4*q + 5 = -3, 5*z + q - 67 = 0. Calculate the highest common factor of z and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11293 + 39827680515.\nAnswer: 39827669222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/48 and -53\/711.\nAnswer: 11376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + b**3 + (-13*b**2 + 7*b**2 + 14*b**2)*(2*b - 40*b - 35*b) + b**3 - b + b in the form f*b**2 + i + x*b**3 + t*b and give x.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 6. Let j(h) be the first derivative of -3*h**4\/2 - 17*h - 2. Let i(t) = 4*j(t) + 11*r(t). What is the first derivative of i(d) wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1211 is divided by 730.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**6 + 8378*k**5 + 424*k**2 + 2*k wrt k.\nAnswer: -120*k**3 + 502680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.54519949944 - -2.5452. What is a rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -262 - (-1 - 162\/18). Which is smaller: -2013\/8 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1033b + 1?\nAnswer: 1033c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 57 in ascending order.\nAnswer: -6, -3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.0055*6668.\nAnswer: -33376.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9495\/11 + 863. What is the closest to 2\/5 in -4, 0.7, h?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -72988*q. Let u(v) = -42*v - 3. What is u(d(g))?\nAnswer: 3065496*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 3. Let f be w(-4). Suppose 780 = 24*t - 60. Suppose -3*j + f = -t. Solve 0 = 5*u - j + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-45)\/(-20))\/(3\/184). Suppose -3*k + 60 = -p. What is the least common multiple of 3 and k\/9*3\/2?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1474*h - 193*h - 5925 + 213*h wrt h?\nAnswer: -1454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*a**2 + 483*a - 477*a - 359*a**2.\nAnswer: -453*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -2513, 1 in decreasing order.\nAnswer: 72, 1, -2513","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 6*r = -2. Solve -3*j = 5*p + 20, -4*p - j = -r*p + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161.315 - 0.315. Which is the third biggest value? (a) -3 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1708*l + 3412*l - 1703*l. Let x(z) = 11*z**2 - 3. Let b(k) = 11*k**2 - 3. Let v(d) = 4*b(d) - 3*x(d). Give f(v(i)).\nAnswer: 11*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 5)\/12*(-1 + 2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -5, 0.22, 0.2, -1126?\nAnswer: -1126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 17*s**2 - s - 1. Give t(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from jrqrvgr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 3*w - 3*w + (4 - 2 - 1)*(2*w + 0*w - 3*w))*(-2*w**2 - w**2 - 2*w**2) as u*w**2 + d*w + o + r*w**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Is (-10 - -263) + -2 + v + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + 3*s - 5*s)*(-2*s + 2*s + 2*s) - 28 - 34 + 62 - 141*s**2 as a*s**2 + c + b*s and give a.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/81 (b) -3\/17 (c) 0.14 (d) 2 (e) 4 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 56389153913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10)\/((-4)\/(-40)*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1984918, -12 in ascending order.\nAnswer: -17, -12, 1984918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 9*v + 1 - 1\/2*v**2. What is the units digit of q(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*(-1)\/8 + (-5326)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1329480a + 4?\nAnswer: 13294813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a minute in seconds?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 12*n - 7. Let b be t(-10). Suppose -35 - b = 2*i. Is -24 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 32, 73, 130?\n\"Answer: 8*y**2 + y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.9 + 10.2. Let r = 44.6 - t. What is the biggest value in 2, -2\/9, -0.4, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2750401924101 - 31*a**2 + 2750401924101.\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 384947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-1)\/(-12)*3*10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 7)*(0*a**2 + 2*a**4 + 0*a**2) - 30 + 30 - 5*a**4 - 5*a**2.\nAnswer: -7*a**4 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 96 + 8589*w**2 - 4289*w**2 - 4285*w**2 to f*w + d + o*w**2 and give d.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*x + 53*x - 185*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3273830, -3273836, -3273842, -3273848?\n\"Answer: -6*n - 3273824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*w - 524, 0 = 4*o - 5*w + 7571 - 8023. Solve -4*d + o = 4*g + 119, 4*g + 3*d = 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519401503 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21848 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -41. Let s(j) = -3*j - 1. Let m be s(-2). What is the third smallest value in -3, m, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5516211 (base 7) to base 8\nAnswer: -2451755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20999621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/2)\/2*3\/(-15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 4cbaba?\nAnswer: -4cbab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 2*j - 0*u, -5*u = -5*j - 10. Suppose j = -o - 5*g + 16 - 41, 0 = -o + g + 5. Solve 4*i - 5*v - 6 = o, -5*i - v - 9 = v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5994 - -12754. Suppose 2*x + g = -2*x. Is x\/(-8) + 2\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let g(p) = -27*p - 12. Calculate u(g(w)).\nAnswer: 1458*w**2 + 1296*w + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 647256 by -7.\nAnswer: -647256\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) + -2 + 0. Let j(o) = 5*o + 1. Let k be j(-1). Sort 4, k, d in decreasing order.\nAnswer: 4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*c + 230 + 115 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 17.9.\nAnswer: -1.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 169*t**3 + 211*t**3 - 787 - 63*t**3 + 787 - 4*t.\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23736 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 - 136198*w + 7892756 = 0. Calculate w.\nAnswer: 58, 68041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1958 - -3425. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 7098?\nAnswer: 7098.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 6*m**2 + 47*m - 174. Determine l(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26145700 divided by 5229140\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a + 1. Let c(q) = -3*q + 1. Calculate 3*c(u) - 2*i(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 34 = -38. Is (-1)\/(b - (-2453)\/(-613)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -283 and 446390?\nAnswer: -126328370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1667199 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i + 2*i - 182 = 0. Suppose -r = -3*r + i*r. Put 14, 3, r, -3 in decreasing order.\nAnswer: 14, 3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39972109*m**2 + 28669907?\nAnswer: 79944218*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 13) to base 5\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 12:20 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 0.02278?\nAnswer: 1.02278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.05 - -14.4. Let c = -26272.64931 + 26272. Let s = f - c. What is s rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaai when four letters picked without replacement from {u: 4, i: 3, a: 6}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 312.9999823 + -313. Round d to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2, -4, 5.6, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182602 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169 + 3979 = 192*n - 1798 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 1 = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3258304 and 256?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 6*s - 270. What is the remainder when (s - 26)*225\/12 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 24 = -4*u + 68, -28 = -4*d + 4*u. Suppose -16*a = -12*a - d. Put -3, a, -21 in increasing order.\nAnswer: -21, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/((-5)\/10). Calculate the remainder when 85 is divided by (42\/(-12) - -3)\/(s\/44).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-432)\/2808 - (-206)\/(-13)) + 19. Factor 2\/3*v**q + 26*v**2 + 338*v + 4394\/3.\nAnswer: 2*(v + 13)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-12))\/((-8)\/32). Solve -q = -y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10632168 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, and 1 y when three letters picked without replacement from ppyylgpggggpgeyg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w**4 - 6*w**4 + 3*w**4 + w**4 = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32037079 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1113?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.09, -12, -3, -4 in descending order.\nAnswer: 0.4, 0.09, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3008 - -3028) + (-19 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 12*p + 16. Calculate u(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 7*u + 5. Determine b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -595*b - 128687. Determine t(-216).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.57 to one decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 1. Determine a(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t**18)*t**(-1\/12)*(t\/(t**10\/t))\/(t*t**11) assuming t is positive.\nAnswer: t**(-445\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -612, -1502, -2764, -4404, -6428?\nAnswer: -8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.070955 and 3.1.\nAnswer: 0.2199605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -91*a**3 + 4*a**2 + 7*a - 9. Is w(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in -4\/5, 2\/13, -0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 g when four letters picked without replacement from gggezeezggegeeeeee.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 747.4?\nAnswer: -22.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -975772aa - 0?\nAnswer: -975772aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262118*s = 7*v - 262117*s + 22, -2*v - 2*s = 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k + 146. Let a be g(-12). Suppose -i = -5*h + 2868, 3*h - a*i - 1720 = -i. What is the highest common factor of h and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 17 (b) -1\/8 (c) -1\/2 (d) 19\/2 (e) 2\/31 (f) 93\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*v - 23 + 91, -4*v + 46 = 2*y. Let p be ((-3)\/6)\/(2\/20). Let t = p - -10. What is the highest common divisor of t and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/10*(1 + 5) + 0. Which is the nearest to 1? (a) 1\/2 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 + p**2. Let s(l) = 8*l**3 - 3*l**2. Let v(u) = 9*i(u) + 2*s(u). Let t(g) = 3*g**3 + 27*g**2 - 4*g - 34. Let n be t(-9). Determine v(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 26 = -4*k. Let s be 12\/4 - (2 + -4). Suppose -6 = -s*y - 1. Solve 2 = -2*d - 2*m - k, d - y = 2*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-119)*(56\/(-12))\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 29 + 29)*(5*f - 5*f + 2*f) + (3*f**2 - 3*f**2 - f**2)*(-1 + 3 + 2).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 7. Let n(x) = x**2 - 6*x - 7. Let d be n(6). Let z be h(d). Suppose z*g - 351 - 391 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -10 - 7) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n + n**3 - 7*n + n**2 - 2*n**3. Let y(l) = 5*l**3 - 9*l**2 + 2*l. Let g(i) = -6*m(i) - y(i). Give g(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36, 19, -66, -267, -632, -1209, -2046?\n\"Answer: -8*g**3 + 14*g**2 - 3*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 30*i + 25. Let x(a) = 2*a - 13. Let v be x(6). Let y(p) = -p - 1. Let w(f) = v*g(f) - 25*y(f). Let t(r) = 3*r**2 - 2*r**2 - 3*r**2. Give t(w(o)).\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o. Suppose 3*c + o = 6. Put -0.5, c, 1\/2 in descending order.\nAnswer: c, 1\/2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 + 8*j + 2*j + 2*j**2 - 2 - 4. Let w be k(8). Suppose -w = o - 47. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/33275 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*w + 4*q - 361, 458*q + 461*q - 1368*q + 454*q - 6 = 2*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -32*j**2 - 14\/3*j**4 + 62\/3*j**3 - 1\/5*j**5 + 15*j + 1. Let s(d) = 0. Calculate d.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -309274.75 rounded to the nearest one thousand?\nAnswer: -309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*p - 14, 2*w - 2*p - 6 = -p. Suppose 53*h = 54*h + w. Let n(q) = -q - 1. Calculate n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppii when four letters picked without replacement from {i: 7, a: 2, p: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:40 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzocyfn. What is prob of sequence zyo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12929a9 + -3?\nAnswer: -1292a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 749 - 745. Factor 0*o**3 + 1\/5*o**5 + 0*o**2 + 0*o + 0 + 1\/5*o**x.\nAnswer: o**4*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204855194.\nAnswer: 2, 509, 201233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 12*j**2 + 4*j + j**3 + 9*j. Let d be t(11). Factor -3*b**2 + b**2 - 16 - 2*b**2 + d*b**2 + 16*b.\nAnswer: -4*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29417 - 29415. Let a(b) be the second derivative of -13\/4*b**4 + 0*b**o - 17*b + 0 + 19\/6*b**3. Find the second derivative of a(f) wrt f.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-594)\/8613 - (-60)\/29. Solve -3*m - 24 = 5*x, q*m - 1 = 4*x + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -659389?\nAnswer: 659388.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 698533?\nAnswer: 698534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95\/38)\/(((-21)\/504)\/(1\/5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 24596*x + 688740. Give j(-28).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n + 24. Let j be y(-6). Let v be 3\/j*-4 + 8. Solve 4*f = 2*l - 0 - v, -5*f = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2021510175541*n**2 - 2021510175541*n**2 - 68*n**3.\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123.7 - -22.7. Let h = r + 101.00003. What is h rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -35*m**3 - 14*m**2 + 8*m - 32. Is r(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*((r + 0*r - 2*r)*(-2 + 5 - 1) + 0 - 2*r + 0 + 24*r + 28*r + 24*r).\nAnswer: 144*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j**5\/5 - 272*j**4\/5 + 164*j**3\/5 + 152*j**2 - 784*j\/5 + 32 = 0 for j.\nAnswer: -10, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 11*m**7\/2100 + 4*m**6\/75 + 29*m**5\/200 + 13*m**4\/120 - 2*m**3\/15 + 85*m**2 - 1. Suppose k(r) = 0. What is r?\nAnswer: -4, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 22*d**2 + 42*d - 18. Calculate q(-8).\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 11*w**2 - 10*w + 2. Calculate j(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 10*h - 55. Let n(y) = -10*y**2 - 33*y + 218. What is -9*f(w) - 2*n(w)?\nAnswer: 2*w**2 - 24*w + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 42 = -4*a, -a - 3*n - 33 = -4*a. Suppose -3*p = -5*y + a + 7, 3*y + 3*p = 36. Suppose y*s - 8 = -1. Solve l - 2*l = -s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**3 + 7*h**2 + 12*h. Let g(p) = -7*p**3 + 6*p**2 + 11*p. Let b(o) = -7*g(o) + 6*j(o). Find the second derivative of b(m) wrt m.\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56271 - 25383. List the prime factors of r.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -17. Suppose 32 = b*f - 4. Solve 0 = 5*m - 5*r + 5, -4 + 28 = -3*m - f*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 - -84. Let u = j - -34. Let b = u + 39.0118. Round b to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78940, -157881, -236822, -315763?\n\"Answer: -78941*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -54. Let k(v) = 102*v - 2544. Let s be k(25). Solve s*d = q - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(363) + (sqrt(363) + -3)*2)**2.\nAnswer: -462*sqrt(3) + 3316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2437796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95720.42 micrometers to centimeters.\nAnswer: 9.572042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 * -6463\nAnswer: 21974.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n + n + (-1 + 1 + 2*n)*(-2 + 1 + 0) + 4 - n - 4 - 1 - n + 1 - 3*n + 2*n + 0*n - 3*n + 2*n + 2*n + 0 + 0 - n - n - 2 - n + 0*n.\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-918)\/(-612)*(-8)\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/525807 and 23\/37896?\nAnswer: 4206456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) - (sqrt(68) + 1 + sqrt(68) + -3)**2 - (-3 + sqrt(68) + 2).\nAnswer: -275 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -9. Suppose 4 = 3*k + s. Calculate the lowest common multiple of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - m + 32 = 0, -2*m + 19 = -7*n + 8*n. Let l(h) = -h**3 + 9*h**2 - h + 11. Let g be l(n). Solve p + 8 = g*j, 5*j = -p + 2*p + 17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19830916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 580154 and 66554.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40705645273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/12*(-6)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.511992313 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 0 + 0)*((5*v - 4*v - 3*v)*(3 + 0 - 2) + 8*v - 5*v + 4*v) as s*v**2 + d*v + n and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.03 - 0.03. Let q = 0.2 + -0.14. Let y = 0.16 - q. Which is the second biggest value? (a) y (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 13*b - 128 = 320 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6\/11)*t**(5\/6)\/t*t**0\/t**(-2\/5) assuming t is positive.\nAnswer: t**(-103\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 115541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = x + 6, 4*d - 2*x + 0*x = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*v - 688 + 120 = 0, 2*l - 1114 = 3*v. Let a = -350 + l. Calculate the greatest common divisor of 120 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 21, 1.\nAnswer: -3, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 + -14 - -2) + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25\/42 - 2\/21. Let z(v) = v**3 + 7*v**2 + 6*v - 6. Let k be z(-6). Let r = 7 + k. Which is greater: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(18)\/sqrt(3))\/sqrt(3).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Suppose 0 = 4*j - 8. Suppose 0*d + 2*d + 2*t = 4, j*d - 3*t - 4 = i. Solve -4*f + 25 = -7*f + 2*v, d*v = f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 6:38 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 2*c - 1. Let t be a(-2). Suppose -24 = -z + t. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f - 5*s = 53*f + 2, 5*f + s = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 + 1318*x**3 - 289080*x**2 + 21005600*x + 21296000 = 0. Calculate x.\nAnswer: -1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -163 in -3, -2\/7, -148, -3\/11, -0.3?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/282300 and 77\/120?\nAnswer: 564600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1423 + -1422.93. Which is the fourth biggest value? (a) z (b) -7 (c) -1\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/19))**(-2\/3)\/((f*f*((f*(f*f\/(f**(1\/10)\/f))\/f*f)\/f)\/f)\/f*f*f*f**23) assuming f is positive.\nAnswer: f**(-15943\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2\/19, -5, 498, 2.7 in decreasing order.\nAnswer: 498, 2.7, 2\/19, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p**2. Let g(f) = -f**2 - 5*f - 5. Let r(a) = 3*a + 3. Let h(o) = 3*g(o) + 5*r(o). Calculate k(h(x)).\nAnswer: 117*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12204 (base 5) to base 3\nAnswer: 1021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 208*s + 213*s = -8, 0 = 3*m + 4*s + 25. Let p = 2.84 - 3.1. What is the second smallest value in -2\/7, p, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 10*i**2 + 16*i + 2. Let d be t(-8). Solve -4*z + 7 = -d*z + k, -k = -5*z + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:29 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000924 rounded to five decimal places?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**3 + 5\/12*w**4 - 25 + 0*w**2 + 2*w. Let b(k) = 3*k**2 - 4*k**2 + 2*k**2 - 3*k**2. Calculate x(b(q)).\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 1. Let x be o(3). Let s = 191 - 167. Suppose -s*m + 11*m = 0. Which is the biggest value? (a) -0.5 (b) x (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/3 + 142*i**3 - 3622*i**2 + 95062*i\/3 - 89540 = 0. What is i?\nAnswer: 6, 11, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-27))\/(98\/(-252)). Which is the biggest value? (a) j (b) 184 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -52. Suppose 4*i - 128 = 8*l - 10*l, 0 = u*l - 5*i - 101. Suppose -59 = -13*k + l. Solve -k*h = -11*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2494338, -4988701, -7483064?\nAnswer: -9977427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11892 and 55248?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 497*v**2 + 10*v + 5. Let l(m) = 744*m**2 + 16*m + 8. Let u(r) = 8*i(r) - 5*l(r). Let g(f) = -2*f. What is g(u(s))?\nAnswer: -512*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/7 - (-9 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*k - 126640 - 612002 = 0, -4*a + 984856 = -4*k. Let o = 169214 - a. Round o to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 1:55 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 405177.4 millilitres?\nAnswer: 405.1774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 268410 + 48924. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.5? (a) -5 (b) -1 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 438427 and -16.\nAnswer: -7014832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**3 - 1 - 10*v + 7 - 9*v**2 + 4*v**2 + 24 - 4*v**3. Let b be l(6). Solve z - 7*z + b = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.98, 0.06, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006407 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2968 + 2943 + (-553)\/(-22)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -206?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f (base 16) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x + 110. Let g be a(-27). Let o(q) = -11078*q + 11078*q + 27*q**g. Let z(f) = f + f - 3*f. What is o(z(u))?\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2582 + 622 = -7*h. Let m = 97 - h. What is the tens digit of (-4)\/(-6)*m\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omk when three letters picked without replacement from {k: 2, o: 3, m: 7}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 4. Let i(j) = 6*j. Give l(i(z)).\nAnswer: 24*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42485829 divided by 14161943.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -17*c + 39. Let t(x) = -x - 2*x + 4*x + 5. Let d be t(c). Solve 0 = -2*f + 4*h - 14, -19 = f - d*h + 2*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 1131. Suppose 22*r - 14*r = n. Suppose r + 95 = s. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2304869583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52.8353 - -48.83493. Let m = r - -4. What is m rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-840)\/(-252) - 74\/24. What is the fourth biggest value in -3, f, 4, -11, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 2:59 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165092?\nAnswer: 2, 149, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*c**5 - c**4*f**2 + 12*c**2*f**2 + 2*f**2 - 2 wrt c?\nAnswer: -8340*c**2 - 24*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -17181 in increasing order.\nAnswer: -17181, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + v**2 + 5*v + 10. Let q(i) = -6*i**3 - 6*i**2 - 25*i - 49. Let x(f) = 2*q(f) + 11*s(f). What is the tens digit of x(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 14, -2, -381.\nAnswer: -381, -6, -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -174 or -183?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3) + -2 + sqrt(5) + 1 + sqrt(5) + 0 + 5 + -5 + 2.\nAnswer: 1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3118847238 to the nearest integer?\nAnswer: 55847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1307*r + 64. Let w be f(-5). Suppose -10*j + 1601 + w = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 3863880.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + -1 - (0 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2849 divided by -1\nAnswer: 2849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 minus 12944394?\nAnswer: -12944396.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*g + 13697, 23*h - 27*h - 8*g + 18264 = 0. What is the highest common factor of 56 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1051120 (base 6) to base 4\nAnswer: 31002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 1\/3 (b) 3 (c) 1\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(-1*sqrt(76)*4 + sqrt(76) + (sqrt(76) - (sqrt(76)*-2*2 + sqrt(76)))))**2.\nAnswer: 100*sqrt(19) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 445.642 - 446. Let q = -38632.64007 + 38633. Let k = a + q. Round k to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -21 + (-128 + 108 - -48).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1216, 1237, 1258, 1279, 1300?\n\"Answer: 21*h + 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367*x - 240*x - 499*x - x - 2 + 2 + (0 + 0 - 3*x)*(3 - 3 - 1) to b + g*x and give g.\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 25, j + g + 4*g = 22. Let z be ((-56)\/(-4))\/42 + 14\/12. What is the second smallest value in j, z, -5, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:33 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 8, s: 4}. What is prob of sequence ees?\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13962, 13970, 13980, 13992, 14006, 14022?\nAnswer: 14040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/20)\/(2\/(-20)). Suppose 28 = -w + i*w. Let h(o) = -o**2 + 20*o - 82. Let q be h(6). Solve w*s - q*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 607 = 2*v, 3*p = 16*v - 11*v + 368. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 9. Let z be i(-6). Suppose -12 = -r - z*r. Solve -k - r*w - 7 = 0, -2*k + 2*w = -2*w + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 16*c = 362 - 262, 7*o + 4*c = -90 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*o - 1 = 0, 3*o + 17 = -0*h + 4*h. Let d be -1 + (-2)\/h - -5. Suppose d*t = 46 - 16. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 not equal to 440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9796 + -391819\/40. Is p not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3385199\/30576 - -1\/30576. Let d = a + -111. Suppose 5 = -n - 4*n. Is d != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183347662.820001246 + 183347572.72. Let v = 90.1 + y. Round v to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*a - 79*a - 960 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -650556, -1301123, -1951694, -2602269?\n\"Answer: -2*w**2 - 650561*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598407631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 2401023831*p + 2401023831*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -153 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -725 + 727. Solve -5*f - 13 = y*b - 8*f, 0 = -3*b + f - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3 + (-3264)\/306?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*q**5 - 9*d**3*q - 479*d**2*q**3 - 32*d**2*q + 2*q**2 wrt q.\nAnswer: -120*d**3*q**2 - 2874*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + k + 87. What is p(-10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1635502 and 55\/2081548?\nAnswer: 22897028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1161 and 330579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695 a factor of 209400300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 0, 3, -5, -0.3, 7, -1 in ascending order.\nAnswer: -5, -1, -0.3, 0, 3, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + v**5 + v**3 + (-v**4 + v**4 + v**4)*(-v + 0 + 0) - v**5 + v**3 - v**3 + (-3*v + 3*v - 2*v**4)*(5*v + v - 4*v).\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109*y + 4254 = 16453 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182 - -180. What is the smallest value in g, 0, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7554 at least as big as -3714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.2, -6\/59, 0.3, -0.1, -71, -2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -2666?\nAnswer: -2664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, a: 8}. Give prob of picking 2 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u + 7. Let a = -8 - -23. What is the remainder when d(12) is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -3*4*sqrt(119) + (sqrt(119)*-1 - sqrt(119))*-5)\/((-4*1*sqrt(567) + sqrt(567))*2).\nAnswer: sqrt(17)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111578826.\nAnswer: 2, 3, 821, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 18 = -4*c, -2*c - 34 = -4*c - 4*l. Find the second derivative of -65*b - b**5 - c*b**3 + 1156*b**4 - 1156*b**4 wrt b.\nAnswer: -20*b**3 - 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1252410 by 6.\nAnswer: 208735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/14)\/(32\/(-56)))\/((-108)\/1344*7)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.4. Which is the closest to 0? (a) -3 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -901*x - 4716. Determine h(-6).\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -7 + 8 + -18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2240 and 1.3.\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**4\/3 - 13*z**3\/3 + 611*z**2\/3 - 827*z\/3 + 78 = 0.\nAnswer: -13, 2\/5, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/9))**18 assuming x is positive.\nAnswer: x**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 0*m + 4 = 4*g, -5*m + 40 = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23111214 - -2?\nAnswer: 23111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*f - 2*f. Let a(t) = 2*t - 3. Let s be a(2). Sort -3, s, f in ascending order.\nAnswer: f, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 11*o + 7. Let s(b) = -4*b - 2. Let w = -3 - -5. Suppose 4*g + 3*u - 26 = 0, -g = -w*g - 4*u. Let t(r) = g*s(r) + 3*d(r). Differentiate t(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50450 to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 12*p**5\/7 + 327*p**4 + 12519*p**3\/7 - 45741*p**2\/7 - 42663*p\/7 + 13320\/7 = 0.\nAnswer: -185, -8, -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) - 5\/(-12). Suppose 7 + 1 = 2*f. Put 0, b, f in decreasing order.\nAnswer: f, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h - 1. Let l be c(1). Let g(j) = 8*j - 22. Let m be g(l). Let w(r) = 16*r**3 + 2*r**2 + r - 4. What are the prime factors of w(m)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, 1, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27644 != 27648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/2 - (21639264\/64)\/(-53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*o - 2384 = 53*o + 2*r, 3*o - 3578 = 5*r. Suppose o + 4197 = 6*c. What is the remainder when c is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44307900 to the nearest one hundred thousand.\nAnswer: 44300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*l - 100. Suppose -2*u + 12 = u, 2*c + l = u. Let g = c + 7. Sort g, 1, -1\/2 in decreasing order.\nAnswer: 1, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.6 (c) 7353 (d) 1\/5 (e) -1\/7 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 5. Let f be s(-3). Let o be (f + 3)\/((-2)\/8). Let g be (o\/70)\/(1\/(-5)). Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 125 (c) -0.639\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*t + 5*v = 244, -15 = -4*t - 5*v + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 2. Let l be x(2). Let c(o) = -6 + l*o + 2*o**2 - 14*o**2 - 2*o + 10*o**2. Let s(g) = 2*g**2 + 2*g + 5. Determine 3*c(z) + 4*s(z).\nAnswer: 2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1600)\/60*12\/10. Let y = c + 39. Solve -y*g = -g - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c - 11*c + 3*c - 5*c + c. Let l(o) = -55*o. Calculate u(l(q)).\nAnswer: 1100*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 10*b**3 + 22*b**2 - 8*b.\nAnswer: -2*b*(b - 1)*(b + 4)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in -42\/79, 0.1, 0.2?\nAnswer: -42\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4 and -23\/581450?\nAnswer: 1162900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12858904.\nAnswer: 2, 1117, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51700000 rounded to the nearest one million?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53316*l**6 + l**4 + 2*l**3 - 259927*l**2?\nAnswer: -6397920*l**3 + 24*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 846330, 1692575, 2538822, 3385071?\n\"Answer: w**2 + 846242*w + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:31 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h**2 + 19*h - 157. Let k be s(6). Suppose d + 5*a = -22, -a = -d - 2*a - 6. Is 1\/2 - k\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(1\/12)*q)*q*q**(-23)*q assuming q is positive.\nAnswer: q**(-265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.284548 - 0.85762.\nAnswer: 0.426928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*j - 240*j - 34*j - 12 + 18 - 5 + j**3 + 3*j**2 in the form l*j + d + t*j**2 + a*j**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*f + 10 = 0, -3*k + 5*f - 7 - 18 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/7122273?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.0403\nAnswer: 0.00403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - j**4 + 1 + 0*j + 4*j**4 + 0*j + (-4*j**3 + 5*j**3 + j**3)*(-2*j - j + 2*j) + 448099*j + 2227*j**4 - 448099*j.\nAnswer: 2228*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvvzvmozhvzv. Give prob of picking 2 h and 1 m.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**3 + 38529840*b**2 - 8*b - 1227869?\nAnswer: 24*b + 77059680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-12 - (-9 + 10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*m + 13*m + 4*y + 92, m - 4 = -4*y. What is the remainder when 440 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 236012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {g: 1, n: 1, v: 4, b: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 12*t**2 + 13*t + 12. Let i be j(-13). Calculate the greatest common divisor of 60 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8\/9, -33, 3, -4 in descending order.\nAnswer: 3, 8\/9, -3, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = -4*z + 178, 0 = 3*d + z - 512. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2963, 2965, 2967, 2969, 2971?\n\"Answer: 2*w + 2961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 63*p - 2187. Calculate q(35).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24585 - -464585. What is v rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4 - 14. Is -6 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 6*s**2 + 2*s - 7. Let h be f(-5). Suppose -16*z + 13*z + 141 = 0. Let g = 51 - z. Solve 0 = -o + 5*o + g*n - 8, o - h = 5*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {c: 1, a: 2, q: 2, j: 8, t: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4759, -1, -10, 2 in increasing order.\nAnswer: -10, -1, 2, 4759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168*x**4 - 39637449 - 11*x**3 + 39637449 + 3470*x**2 wrt x?\nAnswer: 4032*x - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*g - 60. Solve -r - 2 - 2 = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 4904549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/12 + t**2 + 16. Let a(h) = 8*h. Give a(d(x)).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.147 and 0.048?\nAnswer: 0.007056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*a + 13 = -a, 4*o - 183*a - 84 = -203*a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*v = -54, 6*x - x = -2*v + 74. Let g = 20 - 26. Let r = x + g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (-5)\/(15\/6). Let r(s) = -s**2 - 7*s - 5. Let w be r(j). Let l = -10515 - -10517. Which is the second biggest value? (a) 4 (b) l (c) w (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792797 is divided by 6292.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-10)*70\/60.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2383, -5, 17 in decreasing order.\nAnswer: 17, -5, -2383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**3 - 2*q**2 - 2*q + 2. Let f = 13 + -11. What is the tens digit of i(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115830\/43 or -2695?\nAnswer: -115830\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 20 = -32*k + 27*k, -4*q + 4 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a - 212. Let g(o) = 7*o + 181. Let n(l) = 7*g(l) + 6*p(l). What is n(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 212 = -221 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-161)\/14*12\/(-2001)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -36 + (0 + 6 - -10) + 6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -14 + 0*z + 1\/2*z**2. Let i(v) be the third derivative of -v**4\/3 - 2*v**2. Give i(s(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 214128 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.077+-153612608440\nAnswer: -153612608439.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 1 a when three letters picked without replacement from caiik.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292585694?\nAnswer: 2, 137, 1067831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 10*x**2 - 4*x - 7. Suppose -3*s + 31 = 4*f - 0*s, -2*f - 2*s = -18. Suppose 25 = f*c - 19. List the prime factors of y(c).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 454 + -448. What is the nearest to 6 in w, 3, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339161 is divided by 240.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 521820 divided by -180?\nAnswer: -2899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16904 is divided by 245.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*h - 4*j - 892, 452 = h + j. Let q = h + -409. What is the remainder when 78 is divided by q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(4\/((-36)\/3) - 0). Sort 4, -13, 3, g in ascending order.\nAnswer: -13, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 11*f + 7. Is k(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 h, and 1 n when four letters picked without replacement from kgggnnxxkfgfnhgh?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - f = 7, -w - 2880 = -5*f - 2894 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/9, 0.868?\nAnswer: 0.868","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 42295273?\nAnswer: 42295272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 3066 + 2136 = 0. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 1001.\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 4. Let n be a(-3). Suppose 224 = j + n. List the prime factors of j.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f - 296. Suppose -7 = p - 4*l - 43, 0 = -3*p - l + 56. Determine o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4654, 4660, 4674, 4702, 4750, 4824, 4930, 5074?\nAnswer: 5262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(630)\/sqrt(90))\/(5*sqrt(27)\/sqrt(3)))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - -351. Is m a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 293 and 3.08.\nAnswer: 296.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/3 + 18\/(2 + 1). Suppose 0 = 2*v - x*y - 15, 6 - 13 = -v + y. Solve -4*u = -2*u + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/2 - 0)*30\/(-8). Let h(y) = y**3 + 13*y**2 - 35*y + 11. Let f be h(r). Suppose -90*o + 128 = -f*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 3\/2 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -383\/504 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16012177 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.28 in 5, -165, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 3. Suppose 0*m = -5*m. Let u = x - m. Calculate the smallest common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 2409, 8360, 19977, 39156, 67793?\nAnswer: 107784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - 6*z**3 - 2*z**3 - 3*z**3 - 3*z**3 + 5*z**3 + (-z**2 + 0 + 0)*(-z + 3*z - z).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578885.\nAnswer: 5, 115777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*v + 4*b + 6, 4*v = -b + 10. Suppose w = 1 + 3. Suppose -w = y - 2*y. Is y != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1 + 5. Let j be (-1 + 33\/27)*3. What is the third biggest value in -5, k, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 41*p - 441. Determine l(-29).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 17.1. Let d = 0.1 + g. What is the second smallest value in -0.2, -2\/35, d?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/3670 + 70652\/16515. Calculate the common denominator of d and -7\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((5 + sqrt(325) + 2)*-2 + 3)**2 + 4) + 2.\nAnswer: -7123 - 1100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 3*n**2 + 6*n - 5. Let o be a(5). Let p = 30 + o. What is the highest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 37*c - 364 = 0. Calculate the common denominator of 77\/82 and (603\/24)\/(35\/c - 5).\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(400) + sqrt(400) + (sqrt(400) - (sqrt(400) - (sqrt(400) - (sqrt(400) + -3*sqrt(400) + sqrt(400)))) - sqrt(400))).\nAnswer: sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11590 is divided by 232.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + z)*(3*z + 0*z + 4*z)*(2*z + 0*z - 3*z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9942, 19656, 29364, 39066, 48762, 58452?\n\"Answer: -3*h**2 + 9723*h + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 111.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 56078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572 divided by 167332?\nAnswer: 893\/41833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26732625 and 5346525.\nAnswer: 26732625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 8*w - 4. Let b be g(-6). Suppose 5*n - b = n. Let h(d) = d**2 - 2. Let z be h(n). Solve p + 2 = 0, 3*u = -z*p - 3*p - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/3 in 31\/54, 0.4, -25?\nAnswer: 31\/54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + 0*d**3 - 2*d**2 + 5*d**4 + 4*d**2 - 2*d**4 - 2 to the form o + v*d + h*d**4 + y*d**2 + g*d**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-5)*s))\/s)\/(s\/s**(-3\/2)))**(4\/25)*((s**(2\/5)\/s)**(-3\/28))**(-18\/5) assuming s is positive.\nAnswer: s**(3\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220587809.\nAnswer: 13, 223, 76091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 155434 (base 7) to base 6\nAnswer: 354204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 6. Suppose 0*k = 2*k - 6. Suppose 0 = k*n - 2*n - 7. Let x be n*(-4 + 66\/21). Calculate j(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22, 58, 44, -44, -230?\n\"Answer: -4*y**3 - y**2 + 67*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 4 - (-13 - (0 - 2)). Let n(d) = d**3 - 6*d**2 - d - 3. Determine n(w).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + 0.05. Let a be ((-1)\/(-14))\/(2\/8). What is the third biggest value in t, -3\/2, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17044600 to the nearest 100000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/8310619 + -689797401\/133169358856. Find the common denominator of -59\/6 and a.\nAnswer: 48072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 776341820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*i + i = -89, 0 = -4*p - 3*i - 136. Let b = p - -18. Is (-2)\/b + 245\/13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 12*c**2 - 2*c + 408. What is the tens digit of n(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -419558*n. Let w(h) = 132*h**2 + h. What is w(c(y))?\nAnswer: 23235816828048*y**2 - 419558*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 - 86. Suppose -65*z + q = -60*z. What is the remainder when 88 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g**2 - g**2 + 3*g**2)*(-104 + 58 + 359)*(0 + 3 - 2) as c*g**2 + u*g + a and give c.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12794*-11423.\nAnswer: -1461.45862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -12*g - 4. Let a be p(-4). Let b(y) = -y + 4. Let n be b(0). Calculate the highest common factor of n and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12*z - 5. Let o(h) = -13*h + 6. Let q(d) = -3*j(d) - 2*o(d). Is q(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68405594 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998960 a multiple of 530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*b + 8*v, -12866*b = -12861*b + 2*v - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 3b995?\nAnswer: -3b992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/7 + 344*q**3\/7 + 12455*q**2\/7 - 68876*q\/7 + 85164\/7 = 0 for q.\nAnswer: -302, -47, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 6*l**2 - 4*l + 33. Let u be x(-7). Solve 4*q - y - u = 0, -6*y = -2*y + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 223 = 178 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -79*k**2 + 15*k - 292. Let p(r) = -126*r**2 + 23*r - 439. Determine -5*p(m) + 8*s(m).\nAnswer: -2*m**2 + 5*m - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -438, -433, -428, -423, -418, -413?\n\"Answer: 5*o - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/13 <= -7735.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3161889 = 201*f - 398335 - 1558241. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**4\/2 - 5*s**3\/3 + 3*s**2 - s - 15. Let w = -2 - 4. Let f(o) = o**2 - o. Give w*f(a) - t(a).\nAnswer: 2*a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 77.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 4*a**2 + a. Let h(f) = f**2 + 1. Let v be h(-2). Suppose -3 - v = 4*t. What is the units digit of s(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 101*f**3\/3 + 22*f - 18. What is the derivative of r(z) wrt z?\nAnswer: 202*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46\/7 in -57, -6, 3, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34226 + -34224. Put -4, -2\/5, u, -4.2 in increasing order.\nAnswer: -4.2, -4, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/264 and -43\/616.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 h, and 1 t when four letters picked without replacement from {m: 2, t: 1, h: 6, v: 7, s: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2484*a*u + 129564*a - 8*u + 1 wrt u.\nAnswer: 2484*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t**1\/t)\/t)**(-22)*t**(3\/2)*t*t**(-4) assuming t is positive.\nAnswer: t**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -24543 less than -24550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -369 + 370. Let v(h) = -h - 2. Let a(p) = p. Determine q*v(s) + 3*a(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1552 and 2231776.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 29*w**2 - 100\/3*w**3 - 4\/5*w**5 + 15\/2*w**4 + 1\/30*w**6 + 0 + 0*w. Factor g(o).\nAnswer: 4*(o - 5)**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnnn when four letters picked without replacement from {m: 2, n: 11}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.67 + 4.272. Let q = z + -19.702. Let j = -20.10000137 - q. Round j to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 13. Let p be (-4)\/14 - (-64)\/w. Suppose -2*d + 3*d = p*m + 74, -d + 77 = -m. Calculate the highest common divisor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -23.7. Let f be (-2)\/(-12) - (-1)\/(-2). What is the closest to f in -0.2, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/7, 6, 87 in increasing order.\nAnswer: -3, 3\/7, 6, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**4\/2 - g**3\/6 - 5*g**2\/2 + 2*g. Let k be o(-4). What is the greatest common divisor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-18)\/(-15))*69\/92?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.66 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 45*f - 7.\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 - m**2 + 4*m**2)*(-1175*m + 4 + 290*m - 668*m).\nAnswer: 3106*m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/13)\/(q**(-2)\/q)*(q**(1\/2)\/q)**(2\/5) assuming q is positive.\nAnswer: q**(172\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43312 is divided by 10737?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 513.5 + -518. Let g = b + 6.5. Put 3\/8, g, -1\/6, 4 in decreasing order.\nAnswer: 4, g, 3\/8, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 1, a: 1, m: 2}. What is prob of sequence ld?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 496, 383, 56, -593, -1672, -3289, -5552?\nAnswer: -8569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -742*b*u**2 - b*u + 3985*u**2 with respect to b.\nAnswer: -742*u**2 - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236 - -230. Let g(a) = -19*a**3 + a**2 + 3*a - 17. Is g(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6*0)\/2. Let c = u + 4. Suppose b = -c*b + 4*x + 28, 5*x + 14 = b. Solve -3*p - 1 = 3*l - b*p, -l + 2*p + 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 8*d**2 + 6*d - 12. Let r be b(-7). Let i(v) = 7*v + 32. Let w be i(r). List the prime factors of ((-41)\/w)\/(9\/54).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 1066*r + 28 + 10.\nAnswer: 1066*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f**2 - 835*f + 236. Let c(x) = 2*x**2 - 209*x + 59. Let l(g) = 9*c(g) - 2*j(g). List the prime factors of l(-42).\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20229 - -20237. Let q = 7 + -3. Suppose 4*m = -5*j + 1 + 51, h = 3*m - q*j. Calculate the greatest common divisor of 52 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -584 + 583.9999277. What is s rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**3 - f - 1. Let t be y(-1). Let q(z) = z**2 + 5*z + 2. Let n be q(t). Which is the closest to 0.1? (a) 1\/3 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 11. Let w be n(-5). Let q be w\/5 - (-648)\/(-40). Let v = -14 - q. Solve 9 = 4*h + o, v*h - 3 = -o + 2*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4691, 8596, 12501?\nAnswer: 16406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -96, -171, -242, -309, -372, -431?\n\"Answer: 2*n**2 - 81*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 9:58 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8052.003ml?\nAnswer: 8.052003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -629 + 632. What is the closest to -1\/3 in 2, 49, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 8. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166292?\nAnswer: 2, 7, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (7\/140*-10)\/(3\/111)*-2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32, -346, -1192, -2816, -5464, -9382, -14816?\n\"Answer: -41*c**3 - 20*c**2 + 33*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 30 + 26 = 0. Let s be a\/(-7) + 2 - 1. Solve s*f = f - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 4795.\nAnswer: -153\/4795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 144 = 4*k. Suppose 8*h + 8 = k. Suppose 2*c = 5*t - h, t - 1 = c + 4*c. Solve c*b = 2*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 33 = -2*t. Let n(p) = -p - 9. Let d be n(t). Let f be ((-6)\/4)\/((-2)\/4). Solve -3*s + d*s + f = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, 16, 84, 204, 394, 672, 1056, 1564?\n\"Answer: 3*h**3 - h**2 + 16*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11396366903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-1) + (-68)\/(-12). What is the smallest value in 29, k, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 5*j**2 + 5*j - 2. Let d be r(-6). What is the remainder when d\/8 - 68\/(-8) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19267948 is divided by 778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25147150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Let z(v) = 392*v**2 + 39*v + 1. Calculate z(x(b)).\nAnswer: 1568*b**2 + 78*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**9\/22680 + c**8\/3150 - c**7\/1575 + 41*c**3\/6 - 2*c**2 - 16. Let m(k) be the first derivative of w(k). Factor m(i).\nAnswer: -2*i**3*(i - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-5))\/((-85)\/(-25) - 3). Sort 18, -5, h in descending order.\nAnswer: 18, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-1\/7)*j*(j*j*j**(-8))\/j)\/(j**(-4)\/(j*j\/(j\/j**(-4))))*(j**8\/(j**7\/j))**(-1\/3) assuming j is positive.\nAnswer: j**(-74\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**3 + 17*l**2 + 20*l - 20. Let a(u) = -7*u**3 - 17*u**2 - 21*u + 20. Let k(w) = -5*a(w) - 6*c(w). Let d be k(-16). Solve -d*b - 11 = -3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(3 + -5))\/((-29 - -33) + 2\/(-1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9915 = -86*n + 76393. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/13)*q**6*q)\/((q*((q*q\/q**(1\/6)*q*q*q)\/q)\/q)\/q**7))\/((q**1\/q)\/(q**(-2)\/q))**(21\/2) assuming q is positive.\nAnswer: q**(-826\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + s**3 - 3*s**3 + (-2*s**3 - s**3 + 2*s**3)*(-1 + 2 - 2) - 46*s**3 + 130*s**3 + 67*s**3.\nAnswer: 150*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 533492. Let a(c) = -116*c. Give a(u(g)).\nAnswer: -116*g + 61885072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1320310 - 21?\nAnswer: 1320223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 50a27 (base 11) to base 14\nAnswer: 1d1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0250419 and 0.3.\nAnswer: 0.00751257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -0.2 (c) 3 (d) 519 (e) -2 (f) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3534)\/(-114) + -33 - (-315)\/155.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ogggngllglzzlzvogg.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 60*v - 6*v**3 + 14*v**3 + 13*v**3 + 3*v**2.\nAnswer: 20*v**3 + 3*v**2 + 60*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 184552457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3129064, 3129068, 3129066, 3129052, 3129020, 3128964, 3128878?\n\"Answer: -i**3 + 3*i**2 + 2*i + 3129060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -100603, -100599, -100593, -100585, -100575, -100563, -100549?\n\"Answer: k**2 + k - 100605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1758*o = -1772*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-9 + 5 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 - 1299*b + 16 + 1299*b to l*b**2 + v + c*b and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -680, 0.1, -37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = x, 5*x - 13 = 2*l + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21858 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*j**3 + 245*j**3 - 121*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0450355nm?\nAnswer: 0.0000000450355","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -9)*(-29)\/2. Let c = p + 30. Let m(u) = -8*u**3 - 3. Let b(x) = 24*x**3 + x + 10. Let n(r) = 2*b(r) + 7*m(r). Determine n(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**5\/20 + 5*x**4\/3 - 13*x**3\/3 - 53*x**2\/2 - 127*x. Let y be o(-21). Which is greater: y or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/8 + 198771*p - 79019820882.\nAnswer: -(p - 795084)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 28*r - 1 - 4 + 0 - 2. Suppose 2*k = 5*x - 10, -29 = 2*k - 7*k - x. Is s(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.45 and 40053437.\nAnswer: 40053437.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3323048219?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356258 (base 13) in base 9?\nAnswer: 22488681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-23)*(-6)\/36*-2. Which is the second smallest value? (a) -0.4 (b) l (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 4*k + 6. Suppose 0 = -5*y + 28 - 8. Suppose 3*g = -2*a + y*a - 20, 2*g + 7 = -5*a. Is z(g) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 1 - (36 + -36)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a39 + -96?\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38263145 * -3.\nAnswer: -114789435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -9. Let q = 33 - g. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 2*g**3 + 2*g**2 + 1. What is the second derivative of n(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 10097?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02663 + 9222030813.9.\nAnswer: 9222030813.92663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-7)*q)\/q)\/(q\/(q**(1\/5)*q)))\/(q*q**(2\/27)*q*q*q*q**(1\/11)) assuming q is positive.\nAnswer: q**(-16283\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 374, 769, 1196, 1661, 2170?\n\"Answer: f**3 + 10*f**2 + 358*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g - 4*g. Sort -3, 28, g.\nAnswer: -3, g, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**4\/3 - 1492*f**3\/9 + 3142. Factor v(x).\nAnswer: 4*x**2*(x - 373)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (65 - (-15 - -35)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*b - 15 = 3*b, -3*d + 4*b = -26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 272 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z + 3. Let r(c) = 4*c - 6. Let w be r(3). Let t(x) = -x. Calculate w*t(s) + y(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386264214?\nAnswer: 2, 23, 97, 127, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298457 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(5))**2 + sqrt(9)\/sqrt(12).\nAnswer: sqrt(3)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 159384*c*y**3 - 928*c*y - 12*y**3 - 44*y**2 - y wrt y?\nAnswer: 956304*c - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 22. Let r = a - -27. Suppose u - 14 = -0*f + 3*f, -4*u + 2*f = -66. What is the remainder when r is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k, 2*w + 3*k = w + 12. List the prime factors of 78*75\/w*4\/20.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125235 (base 6) to base 5.\nAnswer: 332133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1191 + 831. Let b be 31\/6 + -2 - (-60)\/y. Solve -3*a + 0*a - 21 = 3*k, -b*k + a = 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -215*x**2 - 7*x - 4. Let g be l(-2). Let d = 1838 + g. What are the prime factors of d?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.5477km in micrometers?\nAnswer: 280547700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j - 48*j + 29*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.06 plus 170.1?\nAnswer: 175.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313009 is divided by 609?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -3350\nAnswer: 16750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105688.\nAnswer: 2, 11, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2. Let p(l) = -300*l**2 + 16*l - 154. Let z(o) = -o**2 + o - 9. Let v(m) = -p(m) + 16*z(m). Determine a(v(q)).\nAnswer: 161312*q**4 + 11360*q**2 + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6099 + 6100. What is the smallest value in y, -9, 0.1, -0.7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -2) + 6 + 0\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21807 divided by 2423.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-252)\/(-64) + (-20)\/5)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - c + 1. Let h = -10 - -6. Let f be 10\/h - (-2)\/(-4). What is the remainder when 38 is divided by p(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1665441053 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1441999, 1442034, 1442089, 1442164, 1442259, 1442374, 1442509?\n\"Answer: 10*p**2 + 5*p + 1441984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16304*y**4 + 4*y**3 + 7*y + 2822730 wrt y.\nAnswer: 65216*y**3 + 12*y**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/5)*c*(c*c*(c**(2\/17)*c)\/c*c)\/c)**(-13\/3) assuming c is positive.\nAnswer: c**(-2782\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440, -139, -1102, -2449, -4180?\nAnswer: -6295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) -7 (c) 3 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 31*o**2 - 30*o**2 - 4 + 0. Let h be d(2). Let l(w) = 32815*w**2 - 9*w - 4. Let a be l(h). Round a to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 9\/(-3))*0. Suppose v = 2*p - 21 - 11. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.62 + -0.12. Let x(h) = h**2 - 6*h + 3. Let w be x(5). Let n be (4 + w)*1\/(-11). Which is the second biggest value? (a) n (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 15*u + 4. Let f be r(-14). Let c(p) be the first derivative of p**4\/4 + 10*p**3\/3 + p**2\/2 + 495. Determine c(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1093 in 349, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 108\/(-26) - (-3 + -1). Which is the nearest to 0? (a) o (b) 1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + 9\/(-20). Suppose 78 + 107 = -1055*r + 1092*r. Which is the closest to 13? (a) 5\/4 (b) -4 (c) r (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-492)\/(-30) - 17)\/(2\/10) - 2. What is the fifth biggest value in -4, 1017, a, 0.5, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(3*(-1 + (sqrt(448) + 1)*-4))**2.\nAnswer: -2330532 - 103680*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 8*r**2 - r - 6. Let m(f) = f**2 + 2*f - 3. What is the least common multiple of z(-8) and m(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 114.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u**2 + 14*u + 4. Let w(y) = 6*y**2 + 7*y + 2. Let i(k) = 4*m(k) - 7*w(k). Calculate the remainder when 48 is divided by i(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2654 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1629690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 37*p - 6543 - 17*p.\nAnswer: 2*p - 6543","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 divided by 3?\nAnswer: 646\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + -10 + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + 1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Suppose -4*k = -j - q - 13, j + 16 = 5*k. Let n(g) = -g + 2*g - 4 + 6 - 1 - 2. Let f(b) = -4*b + 5. What is j*f(i) - 3*n(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**3 - 26*t**2 - 28*t - 1. Calculate the remainder when 482 is divided by v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2*(-12)\/9. Suppose 5*u = w*u + 15. Solve 3*l - u = 8*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(3)*-2 - -6*-2*sqrt(3))**2 + ((sqrt(6)\/(5*sqrt(2) + sqrt(2)))**2 - sqrt(3) - (sqrt(3) + -5 + 5*sqrt(3))).\nAnswer: -63*sqrt(3) + 7225\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctgctv. Give prob of sequence tcv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9*y + 4 - 15.\nAnswer: -9*y - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(275) + -2 + sqrt(275) - sqrt(275))**2 - sqrt(275)) + (sqrt(275)*2)**2 + 0 - (-4 + (sqrt(275) - (sqrt(275) + 0)*1) + 3).\nAnswer: -35*sqrt(11) + 1385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175396.9 nanograms to milligrams.\nAnswer: 0.1753969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -76 = -576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3201921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -5*h + 5*l, -21*l - 277 = -5*h - 25*l. What is the third derivative of 6*u**5 + h*u**5 - 130*u**2 - 1882 + 1882 wrt u?\nAnswer: 3540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/44585 and -11\/11840?\nAnswer: 2853440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-125708)\/(-33)*36\/64. Let a = u + -2156. Calculate the common denominator of -45\/307 and a.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**9\/84 + 2*g**7\/15 - 43*g**5\/60 + g**3\/6 + 289*g**2. What is the third derivative of q(r) wrt r?\nAnswer: -720*r**3 + 672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1332651 (base 7) to base 11\nAnswer: -1104a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 1613068 - 34986932 = 0. Round f to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001681601598 to 7 decimal places.\nAnswer: -0.0016816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016101212 to six dps.\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-23)\/4)\/((-8)\/32). Let g(v) = 16*v + a*v + 15*v - 46*v. Let z(o) = 5*o**2. Give z(g(b)).\nAnswer: 320*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:37 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 - 3*o**3 + 5*o**3 + (2*o**2 - 2*o**2 + 2*o**2)*(3 - 2*o - 3) - o**3 + 0*o**3 + 0*o**3 + 4*o**3 - 19*o**2 - 2*o**3 + 83*o**2.\nAnswer: -4*o**3 + 64*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2086.1 - 2124.649. Round m to 1 dp.\nAnswer: -38.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*t**5 - 374781*t**4 - 20364153*t**3 - 270504247*t**2 + 100393776*t - 9188316 = 0.\nAnswer: -27, 2\/11, 3151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 - 109 = 89*x - 419 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcexexcxjzeexeecj. Give prob of picking 1 z and 2 x.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/5 + 175769*v - 2636526\/5 = 0.\nAnswer: 3, 878842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 7*y + 864. Suppose -2*h - v + 382 = 0, 0 = h - v - v - 201. Suppose -y - h = -5*k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:57 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 47. Is y > 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hghhhhhghghhhh. Give prob of sequence ggh.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28312235 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 531440 (base 14) in base 10?\nAnswer: 2807952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2241 + 1695 = 325*f - 6464 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**3\/3 - 7*y + 11. Let z be m(3). Factor 3*v**3 + 33*v**3 + 64*v**z - 23*v + 7*v.\nAnswer: 4*v*(v + 2)*(9*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 6*a - 57 = -2*y, 3 = -3*a. What is the greatest common divisor of 50 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7134, 14273, 21414, 28557?\n\"Answer: i**2 + 7136*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*z = -114*z - 84. Let m = z + 14. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 2. Let h be p(2). List the prime factors of -1*(1 - h)*-34.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 5. Let q(w) = w**3 + w**2 - 10*w - 3. Let y be q(3). Solve -y = -k*i + 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Let n = 170 + -165. Suppose 0 = -2*r - m*r, 10 = n*k + 5*r. Put -40, k, 0 in descending order.\nAnswer: k, 0, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37\/3 - -161\/13. Let v = 5 + -4. What is the closest to v in f, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3490 is divided by 348?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (0 + sqrt(13)*1)) + -5 - (-1*(sqrt(26)\/sqrt(2) - sqrt(13)) + (sqrt(130) - (sqrt(130) - sqrt(130)*2) - sqrt(130))\/sqrt(10)).\nAnswer: -5 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.00495 * -0.624\nAnswer: 0.0030888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f + 2*a + 87, -f + 18 = 3*a. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4149365 microseconds in minutes?\nAnswer: 0.000000023582275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {l: 3, z: 1, m: 3, w: 1, u: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 645219264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, 2 in descending order.\nAnswer: 9, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/198*(-810)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 292 - 292 - 8*p**2 to j*p + q + u*p**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 3*w - 8. Let q be p(-8). Let c = q + -65. List the prime factors of c.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/112)\/(2\/(-212)). Which is smaller: f or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 1079, 2956, 6159, 11018, 17863?\nAnswer: 27024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 6:20 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 4*l - 18, 0*j + 5*l + 28 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -25*f**2 + 404*f - 1618. Give n(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.56, -3, 3.43, 0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 28 - 4 = 0. Suppose 0 = 4*o - d, o = h + 2*h + 26. Let i = 16 + h. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1425, -3001, -4577, -6153, -7729, -9305?\nAnswer: -10881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 22*x - 2. Let r be l(11). Let v = -74 + r. Suppose n = -4*o - 2*n + 26, 3*n = 4*o - 14. What is the greatest common divisor of o and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127658779 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27.92 from 0.33292.\nAnswer: 28.25292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 15, n: 3}. What is prob of sequence nni?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14528702807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - -3.97. Let t = -25 + 24.6. Which is the nearest to t? (a) z (b) -4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - 3*p - 2. Let g(b) = 3*b**3 - 3*b**2 - 9*b - 7. Let o(h) = -h**3 + 17*h**2 - 15*h - 23. Let s be o(16). Determine s*x(y) + 2*g(y).\nAnswer: -y**3 + y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 9620.\nAnswer: 202020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 64115741 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4433 = -94*b + 237*b for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002169269 to six dps.\nAnswer: 0.002169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3307.\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -38979*i + 10118. Is h(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6 = -14. Let w = 16 - f. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -930, -3391, -8172, -16047, -27790, -44175?\n\"Answer: -129*g**3 + g**2 - 15*g + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2*q + 23 - 18.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -684\/35 + 3203\/420. Find the common denominator of v and 0 + 5\/(-6)*-5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 - n - 4. Determine l(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2119.5 - 2119.4. What is the closest to 0.1 in -2.5, 2\/11, q, -26?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.74 + -0.24. Let i = z - 22.5. Let f = -13.0000162 - i. Round f to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**2 - 49*r + 134. Let a(f) = f**2 + 10*f - 27. Let p(o) = 11*a(o) + 2*q(o). What is the tens digit of p(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*920\/520 + 278*(-8)\/96\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**2 + 4519548*b - 1702192843692 = 0.\nAnswer: 753258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656666317 a multiple of 4084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13 = -j, 28 = 4*x + 2*j - 4*j. Let t be 6\/x*(-27)\/(-6). Let y be ((-1)\/(-2))\/((-30)\/(-120)). Solve y*u - 5*u + 2*b + t = 0, -5*b - 3 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-3\/7))**(-6\/11))**(16\/9) assuming c is positive.\nAnswer: c**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 4*p + 30182 = 0, 12*h = 11*h + 2*p + 4316. What are the prime factors of h?\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -8*a**3\/3 - 6*a**2 - a. Let s be 4\/(6 + -8 + 1). List the prime factors of r(s).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -101*j. Let x(h) = 392 - 905 + 44*h + 513 + 4*h. Calculate q(x(s)).\nAnswer: -4848*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 265*x**3 + 26*x + 76 - 264*x**3 - 26*x + 125 in the form j*x**2 + h*x + b + f*x**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - r**2 + 2*r**2 + 2*r**2. Let c be b(-1). Suppose -6*p + c*p - 3000 = 0. What is p rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 13*n**2 + 141*n + 2. Let u be x(7). Solve 29*g - u*g = -80 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/5))**(-33))**(4\/33) assuming i is positive.\nAnswer: i**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 3*z - 0*z. Solve 0 = 2*j - z*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15848514 divided by 240129\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1000010011?\nAnswer: -1000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1910?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1613, 1626, 1639, 1652?\nAnswer: 1665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146.2 + -146. Put -4.5, -3, i in descending order.\nAnswer: i, -3, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(272))**2 + 1 + 2*sqrt(17).\nAnswer: -1087 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6445356mm?\nAnswer: 0.0006445356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1020 or 6.99?\nAnswer: -1020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z, -3*z - 2610 = 3*r. Let j be 3\/(30\/(-8))*r\/29. Suppose 5*o - q - 302 = 0, 3*q + 87 + 39 = 2*o. Calculate the highest common divisor of j and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/24 + 61\/312. Suppose 4*p - 50 = 274. Let m be (-30)\/p*(12\/(-15) + 2). Which is the third smallest value? (a) m (b) t (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 409839 and 34663?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*1\/(-6)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -428633 + 428687 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*m**3*y**2 + 1621*m**3*y - 45*m**3 - 105323*m**2 + 3*y**2 wrt m.\nAnswer: 126*y**2 + 9726*y - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243674700?\nAnswer: 2, 3, 5, 812249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*h - 366*h - 58 = 3*w, 0 = -4*h + 6*w + 50 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3814 is divided by 152.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 8:37 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15 + -15 + (-3 - -1). Put f, 8, 0.1 in decreasing order.\nAnswer: 8, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -146. Let h = o - -99.1. Which is the closest to h? (a) -3\/4 (b) 5\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.122205 and -1558620.\nAnswer: -1558620.122205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1423010, 1423013, 1423016, 1423019, 1423022, 1423025?\n\"Answer: 3*g + 1423007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millennium in decades?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2397 and 12495.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -256.5 - -191. Let n = r - -65.49999777. Round n to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -31, -5, 4, 31 in decreasing order.\nAnswer: 31, 4, 0, -3, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a**6)**(-22) assuming a is positive.\nAnswer: a**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c + 4. Let s(p) = -p + 1. Let a(y) = -3*g(y) + 12*s(y). Is 17 a factor of a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*(sqrt(65) + sqrt(65)*-1) + sqrt(65) + sqrt(65))\/(sqrt(720)*-2) - ((sqrt(130)\/(sqrt(5)*-1))\/(sqrt(6)\/sqrt(3)*2))**2).\nAnswer: -13\/2 - sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 56*q**2 + 2*q. Let j(y) = -233*y**2. Calculate r(j(c)).\nAnswer: 3040184*c**4 - 466*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54720 by -1216.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eue when three letters picked without replacement from {w: 3, u: 3, j: 2, e: 8}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 292c3c (base 13) to base 7\nAnswer: 11360155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 16, 28, 42, 58?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*n + 34 - 244. Let v be (-2)\/(-8)*(n - 9). Sort v, 0.4, 0, -0.3 in decreasing order.\nAnswer: 0.4, v, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d**2 + 10*d**2 + 8*d**2 + 2*d**2 to the form a + q*d + i*d**2 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 918 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Let m = -5 - -10. Factor -2*u**m - i*u**3 - 4*u**4 + 13*u**2 - 13*u**2.\nAnswer: -2*u**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 21 - 35*i - 35 to the form n*i + z and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -5*p**8\/84 - 944*p**7\/105 - 11233*p**6\/30 - 4418*p**5\/15 - p**2 + 76*p - 11. Suppose k(r) = 0. What is r?\nAnswer: -47, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -25565.\nAnswer: -127825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 28 = k + 7, -202 + 360 = -12*j - 14*k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 215*p**4\/12 + 161*p**3\/6 + 11*p**2\/2 + 841*p + 2. What is the second derivative of u(t) wrt t?\nAnswer: 430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 133?\nAnswer: -9\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 227, 526, 935, 1454, 2083?\n\"Answer: 55*k**2 + 134*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 14. Let b be j(-4). Let f be b\/(-75) - 579\/(-45). Which is bigger: 14 or f?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5128544*k - 6962148?\nAnswer: 5128544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5319723\/5 or 1063946?\nAnswer: 1063946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + 5*m - 11. Let x(i) be the first derivative of i**2 - 1 - 5*i + 2\/3*i**3. Suppose -c - 4*c = 35. What is c*x(a) + 3*z(a)?\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)\/(m**(-2\/7)\/m)*m**15\/(m\/(m\/m**2)) assuming m is positive.\nAnswer: m**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3, 5*q - 10 = 3*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83166 is divided by 87?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -100001111000101011?\nAnswer: -100001111000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2122 and 75491?\nAnswer: -160191902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 2*w**2 - 2*w + 6. Calculate g(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*6 + (sqrt(12)\/sqrt(2)*5 - sqrt(6)))\/(-2*sqrt(1250) - sqrt(1250)))**2*-1.\nAnswer: -1156\/1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 288803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 135903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**9\/3024 + m**8\/1680 + m**7\/840 - m**6\/360 + 2*m**3\/3 - 1. Let l(d) be the third derivative of f(d). Factor l(y).\nAnswer: -y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/(-56) + 324\/(-21). Let g be -7 - (j - (-9 + 4)). Solve 4*i = 2*q - g, -q - 4*i = -0*i + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13540847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.6 + 8.6. Let c = 0.3 + -0.8. What is the closest to 0.1 in 0.3, c, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1087871 - 649842. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6603827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + (sqrt(8)\/sqrt(4) - sqrt(2)) + sqrt(2) - ((sqrt(36)\/sqrt(2))\/sqrt(9))**2) + sqrt(14)\/(sqrt(70)\/((sqrt(40) - sqrt(10)) + sqrt(10)))).\nAnswer: -18*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24\/32 - 0\/3\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -1\/15*q**6 + 0 - 1\/3*q**3 + 0*q**4 + 0*q**5 + 0*q**2 - 5*q. Find the second derivative of j(u) wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99.67 - -0.1\nAnswer: 99.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -829506 (b) -5\/4 (c) -10 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 - 1050*y**3 - 13068*y**2 + 26250*y + 328575 = 0. What is y?\nAnswer: -337, -13, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 265 = 3*g. Let v = 12 + g. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*s - 6*s - 17 = 0, q - 5*s - 5 = 0. Let y be 3*(3 + q\/(-6)). Suppose -6*w + y*w + 114 = 0. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 v when three letters picked without replacement from {f: 1, a: 1, w: 2, k: 3, u: 5, v: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10*t = -2*c + 987, 2*c - 4*t - 1014 = 0. What are the prime factors of c?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95\/376 - 6\/47. Let n(d) = d**3 + 2*d**2 - 3*d + 4. Let z be n(-3). What is the closest to -2 in t, 1, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -532\/9 bigger than -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 587, 1637, 3679, 7043, 12059, 19057, 28367?\nAnswer: 40319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22 + 16)\/((84\/(-8))\/7). Solve 4*x = -3*g + 2, 2*x - 3*x - k*g - 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2 = 3*u, -3*i + u = -5*i. Suppose -i*a - 2*a = -16. Suppose 0 = -0*q + 2*q + f - 227, q = -a*f + 117. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, and 1 o when three letters picked without replacement from xqyyxxxqwqxoyy.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2\/101, -5\/4, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40729.\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*k + 0*k - 606 = 0, -4*d = 3*k - 471. Let p be (-2)\/6*d\/(-4). Let s = -4 + p. Solve 4*b = s*c - 2*c, b = -2*c + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y + 51. Suppose -16 - 4 = 5*z. Let f = y + z. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l + 0*l)*(2*l**4 - 2 + 2)*(14 - 29 - 139).\nAnswer: 924*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 11*x + 56 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -450463*v**2 + 20486*v - 9.\nAnswer: -900926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -22*c + 244. Let q be y(11). Let a(n) = 0 + 3*n**q + 11 - 1 - 10. Let r(s) = -6*s. Calculate r(a(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(2\/7))**(-39)*(z**(-3\/8)\/z)\/(z\/((z\/z**(-6))\/z)))\/((z**1*z)**(-45)\/(z**3\/(z**(1\/4)*z))) assuming z is positive.\nAnswer: z**(349\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**2)\/x)**(9\/7))**(28\/9)*(x**(1\/3)*x*x**(6\/5)*x*x*x*x)**(-39) assuming x is positive.\nAnswer: x**(-1314\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -155, -165, -175, -185?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 178700, 177826, 176370, 174332, 171712?\n\"Answer: -291*b**2 - b + 178992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d + 44. Let g be h(7). Let z = g - 97. Suppose 5*n + 2 = -z, -20417 = -3*x + 2*n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + r**2 + 3)*(-16*r**2 - 10466*r + 10466*r) + 0 + 0 + r**4 to h*r**4 + y + c*r + z*r**2 + w*r**3 and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 1001?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5893990 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2. Let z(p) = -96*p - 286. Let y be z(-3). Let l(s) be the second derivative of y*s + 0 + 0*s**2 + 1\/3*s**3. What is f(l(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1669119 times 0.3\nAnswer: -500735.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 28098?\nAnswer: -28093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1555 and 2545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, p: 1, y: 4, l: 1, w: 1, t: 1}. What is prob of picking 1 y and 1 g?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 14\/20)\/(-122 + 126080\/1024)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -4. Suppose -2*n = y + 2*y - 4, y - 4*n = -o. Sort 1, 2, y in decreasing order.\nAnswer: 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1992180 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 19, 41, 12, -0.1, -5 in increasing order.\nAnswer: -5, -0.1, 0.4, 12, 19, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.02 - 0.02. What is the closest to -3 in -0.5, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.83 - 3.83. Which is the second biggest value? (a) l (b) -9 (c) -6 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1168859, -1168109, -1167377, -1166669, -1165991, -1165349, -1164749?\nAnswer: -1164197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 150*p - 1060. Calculate the remainder when b(-7) is divided by 150.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 300673017 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7289 and -71821.97.\nAnswer: -64532.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 64 = -4*z - 0*z, 0 = 2*z - d - 35. Calculate the greatest common divisor of z and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epjjjkkjdjko. Give prob of picking 1 j, 1 k, 1 e, and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 3*y**2\/2 - 4*y + 5. Let h(s) = -2*s + 1 - 5 + 7. Suppose -2*j + j = -q + 6, -3*q + 3 = 2*j. Give q*i(l) + 4*h(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509, 1014, 1519, 2024, 2529, 3034?\nAnswer: 3539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1301434 - 2?\nAnswer: -1301440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*b**4 + 3*b**5 - 28*b**4 + (0*b**2 - 2*b**2 + b**2)*(-2*b**3 + 0*b + 0*b).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) + sqrt(350)*2)\/sqrt(7))\/((sqrt(20) + sqrt(20) + (3*sqrt(20) - sqrt(20)))\/sqrt(2)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -158579, -158666, -158753, -158840?\n\"Answer: -87*w - 158492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 22*l + 4. Let d be c(-22). Solve 5*g = d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 13*j**3 + 14*j**2 + 7*j + 5. Let n be x(-23). Let c = 23921 + n. Round c to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.99 - -0.01. Let f be 2 - (10 - (7 - 4)). Let x = 4 + f. Is x > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 8*i**2 + 7*i + 23. Let v be r(9). What is the third derivative of -18*l**v - 36*l**2 + 78*l**2 - 3*l**5 wrt l?\nAnswer: -1260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-8)\/66)\/(3 + 356\/(-120)) and 1\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h = 16 - 16. Let m(v) be the first derivative of 1\/2*v**2 - 1\/9*v**3 + h*v - 2. Factor m(o).\nAnswer: -o*(o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -141 + 144 + 0 + -2 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1450263712 rounded to three decimal places?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 30294*n = 30291*n + 29, -n = -k + 2 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.5678 - -14.505. Let p = n - -21. Round p to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8081571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 31 - 10*f**3)*(208*f + 225*f - 473*f).\nAnswer: 400*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 p when four letters picked without replacement from rgmgrryerrpeppgmere?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2741640 divided by -5\nAnswer: -548328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**3 + 4*p**2 - 4. Let n(i) = 11*i**3 - 12*i**2 - i + 11. Let d(v) = -3*n(v) - 8*s(v). Determine d(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1224250 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2771 - -6?\nAnswer: 2777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 7*l**2 + 43088*l - 344769. Give c(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/6 and -109\/11210.\nAnswer: 33630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 468, 1241, 2322?\n\"Answer: 154*d**2 + 3*d - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1754000 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*w - 0*w + 5*u, u - 1 = 2*w. Solve -3*n + y = -0*n + w, 2*y = 2*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1685 < -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f**5 - 20*f**5 - 57*f**5)*(0 + 4 - 1 + (-5 + 8 + 9)*(0 + 3 - 1)).\nAnswer: -1728*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(117) + sqrt(117)*-2 - sqrt(117))*-4)\/(sqrt(27)*-3))\/(sqrt(3) + (sqrt(243)*4 - sqrt(3)) + sqrt(3) + (sqrt(12)*1)\/sqrt(4)))**2.\nAnswer: 208\/29241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-18)\/2*1. Let a(l) = i + 7 + l - 16. Let k(q) be the third derivative of -2*q**5\/15 + 43*q**2 - 2. Give a(k(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -68 in descending order.\nAnswer: 1, -1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-42))\/(120\/64)*162\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.03 (c) -2 (d) -2\/3 (e) 216\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 - 40*o + 46. Let h(p) = -p**3 + 14*p - 16. Determine 17*h(s) + 6*q(s).\nAnswer: s**3 - 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244 + -223. What is the remainder when 209 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 19*h - 34. Calculate b(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15803 is divided by 205.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*n = -5*v - 4*n - 267, -2*v + 166 = -5*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4. Solve z = 6*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 - 9522056*k + 5666846904196 = 0. What is k?\nAnswer: 1190257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -303459\nAnswer: -60691.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3737, -3749, -3775, -3821, -3893, -3997, -4139?\n\"Answer: -c**3 - c**2 - 2*c - 3733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2. Let o(t) = t**3 + 3*t**2 + 3*t + 7. Let c be o(-3). Let g(m) = 1. Let a(r) = c*g(r) - b(r). What is the first derivative of a(p) wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose -f*g = -5*g + 21. Suppose 3*w + 13 = g*z - 3*z, -3*w = 4*z - 19. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*h - 0*h. What is the lowest common multiple of 6 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/22771?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 9:37 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**2 - 13412664*j - 65264055 wrt j?\nAnswer: 2*j - 13412664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from uzzuzuzusuuzsu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 13 + 5 = 0. Suppose -2*q - 2*b = -0*q - 12, -i = -2*b. Suppose -5*h + 3*m = -274, -112 = -2*h - 0*h + q*m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -17) + -31 + -17.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-3) - (0 + 2). Let y be 47*1 - (4 + 2\/(-1)). Suppose 40*m + 15 = y*m. Solve -4*t - 2*u = -s*u, 10 = -m*t + u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3462 divided by -1154?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -114, 73.3, 2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0009, 3, -15, -8\/23, 2 in decreasing order.\nAnswer: 3, 2, -0.0009, -8\/23, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -53. Let f = v + 29. Which is the smallest value? (a) f (b) -1 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20a20426 - -5?\nAnswer: -20a20421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -681\/13 - -52. Let n(i) = -5*i**3 + 9*i**2 + 4*i - 13. Let p be n(3). Find the common denominator of 3 + (-100)\/p + (-5 - -5) and m.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1 + 4*d**2 + 5*d + 3 - 3*d**2. Suppose -4*b + 0*q = -2*q + 20, 0 = 4*b + 2*q + 4. Calculate u(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 75 = 8*p. Suppose 0 = p*q + 3 + 57. Let v = q - -38. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 16) in base 15?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Let h(v) = v - j*v - v - v + 1. Let b be 0\/(-2 + 5) + -1. Determine h(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1496 * -16.\nAnswer: 23936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1671506.9267157 - 1671507. Let c = n + 1.1732663. Let b = c - 1.1. Round b to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12044 or 11921?\nAnswer: 11921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -735777, -735151, -734525?\nAnswer: -733899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 2*q + 4*s - 36 = 0, -3*q + 5*s = 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + o + 639 - 132 = 0, -2*o + 6 = 0. Let u be c\/8*10\/15. Put u, 0, -0.5 in ascending order.\nAnswer: u, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -11*j**2 + 2*j + 3. Let c(n) = -22*n**2 + 3*n + 5. Let v(o) = -3*c(o) + 5*h(o). Let q = 120 - 119. Let u be v(q). Solve 0 = -5*l + 2*l + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 19*j**2 + 15*j - 95. Suppose -166 - 154 = 16*k. Let x be q(k). Which is the second smallest value? (a) 7 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -0.4, 2\/11, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 4. Which is the closest to 2\/5? (a) 1\/2 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 3 + 3)*(2*j**2 + 3*j**2 - 7*j**2 + (5*j + j - 5*j)*(-2 - 2*j + 2) + 1 + 2*j + j**2 - 1).\nAnswer: -3*j**5 + 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -424.79 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/7, 62, 0, -612?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -6. What is the remainder when 17 is divided by (-5 - l)\/(12\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*o + 5*i - 14, -5*i = -4*o. Suppose -25 = -b - 4*c + 28, 4*b - 128 = o*c. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156117401 not equal to 156117400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 = 3*w - 3*n - 352, -5*n = 2*w + 97 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 14 = -3*y, 30*y = 33*y + 5*b - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x = 0. Suppose x = 3*p - 3. Let q = -12 - -12. Which is the second biggest value? (a) p (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7566 or 7575?\nAnswer: 7575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let q(d) = 5*d - 324. Let b(c) = -2*c + 142. Let r(f) = 9*b(f) + 4*q(f). Calculate r(i(g)).\nAnswer: -2*g**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 3. Determine h(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, p: 7, c: 2}. What is prob of sequence puup?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*12\/8*-7. Suppose -2*q - 2*q = -84. Suppose 2*t - q = -7. What is the greatest common divisor of t and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000049413635 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 47. Let x be 0\/(1*(-1)\/1). Let t = x - q. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8384.3 + 9?\nAnswer: -8375.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (0 + -1)*0. Suppose h*g = -4*j + 3*j + 35, -3*g = -2*j - 42. Suppose 0 = -2*v - 0*v + 2*s + g, 2*s = -2*v. Is v smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-284)\/1562)\/((-8)\/(-4)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 243*a - 5986. Calculate r(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 30*t - 281. Let v be u(6). Solve -5*m + 20 = 2*b, 0 = m + 2*b - 3 + v for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -83100 and -0.1?\nAnswer: 83099.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/12 - (-10)\/(-15). Let i(j) = -2*j**3 - 61*j**2 - 35*j - 166. Let f be i(-30). Sort v, -4\/3, f in increasing order.\nAnswer: f, -4\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -673*z + 2720. Let g be i(4). Let s = 0 - -3. Suppose 4*q - s*l - 1241 = 0, 0 = -2*l - 7 + 1. What is the highest common divisor of g and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -439 from 4.5023854.\nAnswer: 443.5023854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (1 - 6)) + -1. Let d(o) = o - i*o - o - 2*o. Let l(z) = z**2 - 2*z**2 - z**2 + 5*z**2. Calculate l(d(a)).\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.9616 - 24.86. What is m rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 4*o**2 + 5*o - 6. Suppose -v = -4*t - 49, 15 = -4*t + 2*v - 39. Let g = -2 - t. Let c = g - 4. What is h(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, 59, 389, 847, 1433, 2147?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -316 * 16.65.\nAnswer: -5261.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12851672 and 2144?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**4 - 3323*f**3 + 884*f**2 + 1078*f + 295?\nAnswer: -36*f**2 - 19938*f + 1768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363169 is divided by 9557.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 4. Let r be t(4). What is the highest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249640 is divided by 8896?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/19, -3, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 5. Let j be t(0). Suppose -16 = -2*u - 4*l, 3*l - 6 = -u + 6. Suppose -5*a + j = -u*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) - (-4 + 128\/20). Let a(g) = 11*g + 7. Calculate a(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjlljljjljjllljljjlj. Give prob of picking 3 l.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 24. Suppose 18 = 3*t + 3*i, 0 = -t + 2*t - k*i. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -u + 8, 27101 = 3*u + 4*v + 27077 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-63))\/((-42)\/27)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**5 + 216*i**4 + 1336*i**3 + 912*i**2 - 1340*i - 1128 = 0. What is i?\nAnswer: -47, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**5\/4 + o**4\/3 + 3*o**2\/2 + 1722*o. Let d(y) = y**3 - y**2 + 1. What is 4*d(u) + n(u)?\nAnswer: -u**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/30*4\/(-4)*10*8442\/12194?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221 + -216. Solve -b = -p + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -4, -338, -2, 0, -3.\nAnswer: -338, -4, -3, -2, 0, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1477 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2570 less than -2571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 3:43 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/296 and -65\/111.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-5)*2\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -62.5?\nAnswer: 62.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 1:22 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0144269 rounded to 5 dps?\nAnswer: -0.01443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 222?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1849842635?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/243 - -79\/486. Let u(p) be the second derivative of 0*p**2 - 1\/30*p**6 + 0 + 1\/20*p**5 + 1\/12*p**4 - h*p**3 - 5*p. Factor u(r).\nAnswer: -r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + (sqrt(931) + -1 + 0 - sqrt(931)) + (sqrt(931) - (-6*(sqrt(931) - (sqrt(931)*1 - sqrt(931))) + sqrt(931))) + (sqrt(931) + 1)*4 + 5)**2 + 1.\nAnswer: 1120*sqrt(19) + 93165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 3*i**2 - 4*i + 2. Let g be p(-4). Suppose g*b - 2*k = 10 + 14, 0 = 4*b - k - 54. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 298 - 278. Let r(u) = -5*u**2 - 19 - 16*u**2 + 22*u - 4 + u**3. List the prime factors of r(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1468.2 - 21362.2. Let n = -19888.00175 - u. Let z = n + -6. Round z to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/110 and 53\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7502*h**3 + 7093*h**3 - 14088*h**3 + 7625*h - 7625*h.\nAnswer: 507*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llkkl. Give prob of picking 2 k and 2 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -6*b - 4*b. Suppose -25*h = -29*h + 90916. Suppose -b*c + h = c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2. Let u(a) = -645007*a + 9824. Let r(n) = -394*n + 6. Let j(d) = 4912*r(d) - 3*u(d). Determine c(j(k)).\nAnswer: 282747*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-2)\/3)\/((-20)\/30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204881 is divided by 51220.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -8*w**4 + 8*w**3 + 46*w**2 - 24*w - 72 = 0?\nAnswer: -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 986720 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99493 is divided by 9949.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uxxuuxxuxuuuuuuuuu?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + 77. Suppose a + 3 = 5*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 39*h**5\/5 + 43*h**4\/4 + h**3\/3 - 3*h**2\/2 + 3655. Factor i(k).\nAnswer: k*(k + 1)*(3*k + 1)*(13*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 507*c + 505*c = -6, 0 = -h + 2*c + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51, 208, 627, 1440, 2779, 4776, 7563, 11272?\n\"Answer: 22*w**3 - w**2 + 6*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*x + 3*h, -3*x - 1 = h - 8. Suppose 5*w = 3*w + 8. Suppose -w*b - 1 - 3 = 0. Sort b, 1, x in descending order.\nAnswer: x, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3356, -6719, -10106, -13529, -17000, -20531?\nAnswer: -24134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174 + -109. Let i(z) = -7*z - 211. Let u be i(-45). Calculate the highest common factor of m and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s = -197 + 17 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-45) + 2\/(-15)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 - 4 - 2 + 2*m**4 - 6*m**2 - m in the form o + l*m + v*m**4 + q*m**2 + k*m**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -35. Let u = x + 2. Suppose -t - u = -3*t. Solve -t*s + 12 = -0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 12:37 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-240)\/510)\/(-2))\/((-150)\/(-51)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Suppose -m*q = q - 28. Calculate the least common multiple of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -223, -196, -149, -76?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 6) to base 7.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245 and 350.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)\/y*(y\/(y\/(y*y**2)))\/y)**(-28\/9) assuming y is positive.\nAnswer: y**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 4*q + 0*q - 2*q + 4*q - 4*q + (1 + 2 - 4)*(q - 2*q + 0*q) + 4*q - 2*q + 0*q + 53*q + 46*q - 39*q to the form d + a*q and give a.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m + 5. Let p be r(-1). Suppose p = -8*x + 3*x + 10. Let i(w) = w**3 - w**2 - w + 1. Calculate i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-7 + 36\/6). What is the hundreds digit of 325 - (-5 + (p - 3))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a second in milliseconds?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 3)*(2*t**3 + 3*t**3 - 24*t**3) as k + z*t**2 + x*t**3 + b*t and give x.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*p**4 + 102*p**4 - p**2 - 73*p**4 - 3*p to the form i*p + o*p**4 + u*p**2 + z + b*p**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/84 + 2\/8. Let q = 5 + 31. Let t = q - 36. Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*d - 1226 = -1325, -2*b - 2*b + 5*d + 22*d - 636 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1173272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*c = -480, -27 + 3 = 4*c. What is the remainder when 1375 is divided by a?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzez when four letters picked without replacement from zeeezeeezze.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 88 = 4*v, 0 = 5*v + 5*r + 816747 - 816632 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g**2 + 7*g. Let p(h) = -7*h**2 + 6*h. Let l(v) = -7*p(v) + 6*r(v). Let f(c) = 16*c - 117530 + 117530 - 2*c. Calculate l(f(q)).\nAnswer: 196*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 6}. What is prob of sequence fo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561112*a + 57*a**2 - 561112*a - 58*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 4:50 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(11)*2*5.\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -4360?\nAnswer: -4362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 84 = -5*m + 3*j, 5*m = -5*j + 90. Suppose 5*o = -2*a + 4*o + 115, -25 = -5*o. Let s = a - m. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*s + 16, 84*c - 80*c + 2*s = 48. Factor -48 - c*k - 1\/3*k**2.\nAnswer: -(k + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 4*q = 11*b + 8, 10 = -b - 3*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*w**4 + 2*w - 33*w**4 + 67*w**4 + (9*w**3 - 6*w**3 - 2*w**3)*(2*w + 0*w - w) - w**4 + 2*w**4 + w**4 as i*w + y + u*w**4 + f*w**3 + l*w**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 5:58 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34420, -34417, -34410, -34399, -34384, -34365?\nAnswer: -34342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 281 * -454\nAnswer: -127574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -9. Suppose 2*u = u - 3. Find the common denominator of 29\/(10\/t*u) and 63\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*-3)*-2 + 5*sqrt(84)*2)\/(sqrt(33)\/((1*sqrt(77))\/sqrt(7))*-5).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*d**2 + 16*d**2 - 12*d**2)*(5*d - 5*d + d) + (1 + 6 + 2 + 2*d)*(1 + 3*d + 8*d**2 - 10*d**2 + 0*d).\nAnswer: 26*d**3 - 12*d**2 + 29*d + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3 - (0 - 0). Let w = 7 - s. Suppose 3*g - 9 = 0, w*g = 3*i + 3*g. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 5154829?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**3 + 870*g**2 - 1725*g + 860 = 0.\nAnswer: 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 3*f**2 - 4*f + 5. Let v be s(-4). Suppose 59 = v*j - 16. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - y + 18, -5*y = -1 - 9. Suppose -s - 2*s = -9. Suppose -4*q + x - 24 = 0, 14 = s*t - q. Solve -r - 5*c = t*r - 4, 0 = 4*r + 2*c - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -40*c**3\/3 - 2*c**2 + 7. Let p(n) = 3*n + 13206 - 13206 - n. What is p(k(g))?\nAnswer: -80*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 4*l - 1. Let q be m(-3). What is the third derivative of 19*f**6 - 2*f**q - 9*f**2 - 7*f**2 wrt f?\nAnswer: 2280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 31 = 5. What is the smallest common multiple of 18 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090230137 to the power of 1\/2, to the nearest integer?\nAnswer: 33019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39354124, 78708247, 118062356, 157416445, 196770508, 236124539, 275478532, 314832481?\n\"Answer: -b**3 - b**2 + 39354133*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 6*d**2 - 5*d - 21. Let g be h(-4). Let w = 133 + g. Is 100 != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*c - c - 13*c + 12)*(-15 + 54*c + 42 - 47*c) as f + p*c + r*c**2 and give p.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17942773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -32*n**3 + 6*n**2 - 3*n - 8. List the prime factors of h(-5).\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) 1\/4 (c) -2\/9 (d) 3 (e) -899\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 137128, 137105, 137082?\n\"Answer: -23*g + 137151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 10*g + 31. What are the prime factors of n(-26)?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 3526 - 1641 + 3017)*(0*a**3 + 0*a**3 + 3*a**3).\nAnswer: 14829*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 102.36627\nAnswer: -108.36627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 213 = 13*i, -2*i + 304 - 158 = -5*y for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = -5. Suppose -10 = -x*p - 0*p. Calculate the lowest common multiple of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**2\/f*f)\/f)**(-4)\/(f**(-2\/9)*f**(-2\/17))*f**9\/(f\/(f*f**(-2\/3)*f))*f**(2\/7)\/f*f*f**(4\/3) assuming f is positive.\nAnswer: f**(3526\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 31632.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 + -10110000111100111?\nAnswer: -10110000111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 10*f**2 - 12*f - 9. Let v be y(-11). Let u be 2*2\/8*0. What is the third derivative of u*o**2 - v*o**2 + 5*o**2 + 3*o**3 wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 15. Let r be i(8). Suppose 0 = 4*j - x - 1, r*x + 6 = -3*j + 10*x. Let y(k) = -4*k**3 - 2*k**2 + 1. Calculate y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 7\/5, -5, 0.3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6, 2 = 2*y + s - 1. Suppose 4*p - 138 + 34 = y. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (893*y**2 + 13*y**3 - 893*y**2)*(0 - 1 - 2)*(2 + 0 + 2).\nAnswer: -156*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.485 rounded to 0 decimal places?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-18))\/(2\/(-3)). Suppose 8 = 4*j - 4*o, -5*j = 4*o - 17 - 2. Let r = -28 - -23. Sort u, r, j.\nAnswer: r, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207 + 0*a**3 + a**3 - 46 + 253.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r - 2 - 111*r**2 - 1 + 113*r**2. Let p be z(1). Solve 0 = -p*w + 4 - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j**2 + j + 2. Let f be y(2). Let p = -4 - -6. Solve 0*b**p + 0 + 0*b + f*b**3 - 1\/2*b**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*a = a + 26, 4*a - 12 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 - 5*p**4 - 7 + 0 wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1938890000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, 264, 284, 304, 324?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 11*u - 30. What is s(-17)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1183 = 1514. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216484689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1.96?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112279147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99 + -88. Solve -3 = -2*b - i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.14\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 - 141*u - 5*u**2 + 7*u**2 + 139*u.\nAnswer: 2*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*4\/(-20)*2\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 7:56 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.1371 and -58.6?\nAnswer: 1648.83406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.545581288 - 0.5456. What is i rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3018522307 rounded to 3 dps?\nAnswer: -0.302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by -2577\nAnswer: 77\/2577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 5058 and 25297\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 474150 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**4\/4 - g**3\/3 - g**2\/2 - 51*g + 4. Let s be j(0). Let i = -27 - s. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3563115676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(170\/55) - (5115\/(-40) - (-8)\/(-64)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-27))\/(1\/(-4)). Let o = 436 - 308. Let h = o - 128. Which is smaller: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.13, -0.2, -0.4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(31*j + 4*j - 13583 - 35*j - 2*j**2 - 9118).\nAnswer: -2*j**2 - 22701","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2. Let c be k(1). Suppose 3*g = -5*f + 51, c*g + 6*f - f - 39 = 0. Suppose -b = 3*b + 16, -3*b = -i + g. Solve 5*q - q = i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 38. Suppose 7*o - 28*o - 95*o = -348. Solve -23 = -o*t - f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/((-249)\/(-830))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29.761 from 9.515.\nAnswer: -20.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16482.\nAnswer: 2, 3, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15263 is divided by 243.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -207*f**5\/20 - 7*f**2 + 33. Let a(h) = 2*h. Give d(a(m)).\nAnswer: -2484*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/19373727?\nAnswer: 1\/19373727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-22)\/(-5))\/(((-17)\/15)\/17))\/(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/364 and (5 + -2)*(-237)\/396*-2?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 204*n**2 - 6*n + 157. Let l(v) = v - 1. Let q(p) = -d(p) - 6*l(p). Differentiate q(r) with respect to r.\nAnswer: -408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/13 - -101\/208. Is 2 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 335, 1349, 3375, 6749, 11807, 18885, 28319?\n\"Answer: 56*r**3 + 2*r**2 - 60*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**3 + 10*w**2 - 3*w. Let a(s) = -s**3 + s**2 + s - 1. Let d(p) = -4*a(p) + y(p). What are the prime factors of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72911.06 times -12?\nAnswer: 874932.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-352)*1\/5)\/(7\/(-7)*-1).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 14. Let r be x(-6). Let u(z) = -z**3 - 18*z**2 + 2*z + 90. What is the tens digit of u(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 + 5 = 0. Suppose -135 = 17*t - s*t. Let a = 69 + t. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2646 at least as big as 2642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwrmesu. Give prob of sequence uerm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**6\/6 + 3241*g**4\/2 - 1330*g**3\/3 - g + 1938. What is the third derivative of v(o) wrt o?\nAnswer: -60*o**2 + 38892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*-5*(-268)\/(-335).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -18*b + 12. Solve 0 = -b*y - y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:07 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 1, m: 2, v: 2, d: 1}. Give prob of sequence dvvm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3173 from -231696.86.\nAnswer: -234869.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802789?\nAnswer: 13, 37, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -26 in decreasing order.\nAnswer: 1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24567.734 take away 1.57819?\nAnswer: -24569.31219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -531.1 to the nearest ten.\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let v(i) = -i**2 + 3*i - 1. Let t be v(u). Let c = 2\/11 - -5\/33. Is c greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01211825265 rounded to five decimal places?\nAnswer: -0.01212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 149740.36 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**5 + 10*o**4 - 105*o**3 - 310*o**2 - 200*o = 0.\nAnswer: -4, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56554 - -5033362\/89. Which is greater: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182173, 182170, 182171, 182176?\nAnswer: 182185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (-270)\/(-54) + -52.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3 - 1710*n**2 + 382806*n - 7303338 = 0.\nAnswer: 21, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 12. Let m(q) = 2*q + 10. Let f(x) = -5*c(x) - 6*m(x). Let r(t) = 17*t**2 + t. Calculate f(r(g)).\nAnswer: -34*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 705a + 1?\nAnswer: 7060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068 a factor of 103086011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.5 (b) 14\/3 (c) 0 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738272 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364.860917165 + -0.2.\nAnswer: 364.660917165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 1. Let f(y) = -3*y**2 - 8*y - 33. What is -f(q) - 4*x(q)?\nAnswer: 3*q**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1018212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 24923996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1524588.\nAnswer: 2, 3, 13, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -1274 - 2221. Let t be a\/21 - (-4)\/(-14). Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-14) - 682\/(-217). Suppose p + o*j + 22 = 93, p + j = 81. Calculate the remainder when p is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -53255, -53250, -53231, -53192, -53127?\n\"Answer: m**3 + m**2 - 5*m - 53252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*(245\/14)\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1 - 7*a + 5*a + a**2 + 0*a**2. Let b be 0 + (1*-50)\/(-5). Suppose 0 = -0*u - 2*u - k + 8, 0 = 5*k - b. Determine q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 + -67. Let t be (6\/10)\/(6\/g). Factor -t + 8\/5*q - 2\/5*q**2.\nAnswer: -2*(q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 26*t**2 + 9*t - 28. Let j(x) = -1 + 3*x + 0*x - x - 1. Let q(c) = 4*j(c) - y(c). What is the second derivative of q(n) wrt n?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 43\/4. What is the biggest value in 2\/13, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967405.\nAnswer: 5, 163, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h - 29. Let q be z(11). Suppose 5*l = -15, 3*k - q*l = -k + 148. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -98. Let c = -27 + i. Calculate the least common multiple of 10 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/i)\/(i*i\/(i**(6\/13)*i))*(i**(-27)*i)\/(i**(-2\/9)*i*i))**23 assuming i is positive.\nAnswer: i**(-62744\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867.7774 centuries to years.\nAnswer: 86777.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1008) + 1*sqrt(1008)*-5) - ((3*sqrt(504))\/sqrt(8) + -5 + 3*sqrt(63)).\nAnswer: -210*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 3 = 20*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0306 to 2 dps.\nAnswer: 2.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4631 - 4626. Put -11, -4, q, -3 in increasing order.\nAnswer: -11, -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11244 - -11243.9869917. Let d = -0.013 - l. What is d rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0 + 3 = 0, 37 = f - 2*n. Let u(q) = -q**3 - 6*q**2 + 3*q - 10. Let d = -9 - -2. Calculate the remainder when f is divided by u(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 19. Let c be x(11). Let h be (12 + -8)*(-6)\/c. Suppose 3*v + 3*r = 90, 26 + 82 = 3*v - h*r. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 14*d**2 - 6*d + 13. Let w be p(13). Suppose 0*u - 36 = -3*u. Is w\/6*u\/8 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11335 (base 7) to base 13.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 20. Let g be (5 + 0)\/5 - y. Suppose 11 - 31 = -2*c. Solve -g*i + c*i - 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 420\/350 + (-13)\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5749.90092 + -5750. Let a = f + 958.00908. Let u = 962 - a. Round u to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 16*t - 45*t)*(0*t**3 - 4*t**3 - 4*t**3).\nAnswer: 544*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 18 + 6*r + (-2*r + 0*r + 3*r)*(-2 + 5 + 11).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 69*c - 324. Let j(v) = -14*v + 6. Give 4*j(p) + r(p).\nAnswer: 13*p - 300","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-15)*15*((-310)\/140)\/31?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -34432 - -297096\nAnswer: 262664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 - 19*x + 5*x**3 + 5*x**3 - 3*x**3 - 1 - 5*x**2 - 5*x**3 in the form v*x**3 + g*x + d*x**2 + k and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5716*-4\nAnswer: 2.2864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1176 and 8.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4, i - 5 = -4*p - 7. Solve 2 + p = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/36*56\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 - 0.2. Let f = 41 - 368\/9. Let g(k) = k**3 + 5*k**2 - 5*k + 1. Let m be g(-6). Sort d, f, m in increasing order.\nAnswer: m, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**6 - 5*z**2 + 7*z**2 + 0*z**2 wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2651065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 11) to base 14\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 4:07 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -34536, -5, -1\/6, 0.2, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 2430?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115577, -115492, -115351, -115154, -114901?\nAnswer: -114592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*a + s - 5*s, 0 = -2*a - 3*s + 12. Suppose a*h - 521 = x, 3*x = h - x - 170. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21957, 43914, 65875, 87840, 109809?\n\"Answer: 2*f**2 + 21951*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*x**4 + 13*x**2 + 49?\nAnswer: -68*x**3 + 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 19. Suppose 12 = -5*p + n. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 5*l**4\/4 + 14*l - 4. What is the first derivative of a(c) wrt c?\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218 - -370. Let g = 158 - m. Calculate the greatest common divisor of 78 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1399 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-12)\/33 + 43380\/110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/9)\/(15\/(-18)). Let v(k) = 2*k**d + 428*k + 17 - 437*k - k**2. Let l be v(7). Solve 4*o = l*j + 6, 3*j + 4*o - 22 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468 divided by 468.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 - 10. Suppose i = 5*x - 93, 15 = -2*i - 3*i. What is the remainder when a is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1509 (base 13) in base 5?\nAnswer: -44201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.41 + -0.77. Let n = 0.06 + o. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 32*d + 6. Let j = -199 + 388. What is the remainder when j is divided by i(1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -88*w**2 + 19*w - 168. Let s be z(10). Calculate the common denominator of 0 + 53\/(-18) - -1 and ((-12)\/9 - -1) + s\/3960.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*n + 14 = 0, -f - 1 + 17 = n. Let y(o) = -o**2 + 12*o + 19. Let i be y(f). Suppose -i*d = -2*d - 100. Solve 0 = -2*x + 7*x - d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -56*s**2 + 2*s + 12. Let j be y(-5). Let r = j - -2795. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -5 (c) -0.08 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477*a + 572 = -1336. Sort 0, 3, a, 6 in ascending order.\nAnswer: a, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 435 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10511839\/114 - -92208. What is the common denominator of -107\/36 and m?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 330.2 (b) -3\/2 (c) 0.3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 18 = 0, -2*d - 751 = -5*z - 719 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*b - 160 = 0, 182 = s + 4*s - b. Suppose s = 2*n - 19. What is the remainder when n is divided by 15\/2*(-10)\/(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, -41 in decreasing order.\nAnswer: 13, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -486 != -484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*c + 62*c = -90877. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*x**2 + 26*x + 4 wrt x?\nAnswer: 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w - 37123 = -36010 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1372855737?\nAnswer: 3, 11, 29, 1434541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1347, 1348, 1349, 1350?\n\"Answer: u + 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3 = 4*b - 0, 6 = 2*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0.077, 0.4, -0.16, -3 in decreasing order.\nAnswer: 18, 0.4, 0.077, -0.16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2101010010?\nAnswer: 2101010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 344954.2 milligrams in kilograms?\nAnswer: 0.3449542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.1 times -16715?\nAnswer: 887566.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 218071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2422*t - 367*t + 4448*t)*(1 + 2 - 1 + (-2 - 1 + 4)*(2 + 1 - 1)).\nAnswer: 6636*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10723*g**2 - 10813*g + 2?\nAnswer: 21446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -12 (b) -4 (c) -372.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65100 divided by 1302.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 435716?\nAnswer: -3\/217858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**3\/3 + 67*b**2\/2 - 50*b. What is the tens digit of v(30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3582865596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68662, -274625, -617892, -1098463?\nAnswer: -1716338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1444 + 10101120?\nAnswer: 10103004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215 + -149. Let v = b + -38. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*j + 15. Suppose j = 3*b - 0. Suppose 7*s - b*s = 45. Solve 0 = -3*n - u - 4*u + s, 2*n + 2*u - 6 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 8 = -3*k. Is 2\/3 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.7 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (-5 - (5 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + w + 72 - 38.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -111. Let g be 47\/4 + (6 - d)\/8. What is the greatest common factor of 96 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -653, -652, -651, -650?\n\"Answer: m - 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-159)\/306 + 1\/6. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 10 = 4*u + 31*k, -7 = u - 4*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817767701.\nAnswer: 817767701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 8*l**2 - 4. Let v be 116\/(-14) - 6\/(-21). Let h be k(v). Is -2 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -3. Let y(f) = -f - 8 + 29 + 2. Let c be y(19). Sort c, r, -2.\nAnswer: r, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112221 (base 3) to base 2.\nAnswer: 110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*l - 22704 = 2*l, 3*l + 5683 = j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 48*c**3 + 2*c - 1. Is t(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 2852024\nAnswer: 1\/407432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(4\/7)\/o*(o**10*o)\/o)\/((o\/(o*o*(o*o*o**(-1\/12))\/o*o))\/(o*(o*o**(1\/4))\/o)) assuming o is positive.\nAnswer: o**(619\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**11\/q)\/q)\/q**(2\/37))**(-13)*(q**0\/q)**(-1)*q*q*q*q**(-4\/7)*q*q*q\/(q**7*q*q) assuming q is positive.\nAnswer: q**(-30787\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r. Let l(f) be the third derivative of -f**5\/15 - 10*f**2. Give l(s(v)).\nAnswer: -196*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = -o, 2*o - 19 = -5*x + 4*o. What is the second derivative of 2*c**2 - 35*c**x + 32*c**3 + 22*c**3 + c wrt c?\nAnswer: 114*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 11 + 13 = 0. Let h = 30 + t. What is the lowest common multiple of 18 and ((0 - -2) + 25)\/(h\/12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.2.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = h + 2*n - 3344, -2*n - 4162 = -5*h. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**5*a*a*a\/a**(-3))**15 assuming a is positive.\nAnswer: a**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191\/9*c + 2\/9*c**4 + 62\/3*c**2 - 14 + 43\/3*c**3 = 0 for c.\nAnswer: -63, -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**23*d)**(-12) assuming d is positive.\nAnswer: d**(-300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76626 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**4 - 40*x**3 + 30268*x**2 - 918944*x = 0.\nAnswer: -104, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -26*t - 19. Let l be s(-2). Let z = -31 + l. Let k(m) = 33*m**2 - 2*m + 4. Is k(z) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10814*p**2 + 10913*p**2 + 5*p + 48*p**4 - 32*p - 120*p**3.\nAnswer: 3*p*(p - 1)*(4*p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.06, -1\/5, 0.4, 1979?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + o)*(-5*o**2 + 2*o**2 + 4*o**2) + 6 - 6 - o**3 + (4*o**2 - 3*o**2 + 0*o**2)*(-3*o + 5*o + 0*o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**5\/20 + q**4\/3 + 5*q**3\/6 + 2*q**2 - 4. Let x be r(3). Solve 5*k + 5*j = 20, x*j - 4 = 4*k - 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2205) + 0)**2 + -2 + 5.\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 e when three letters picked without replacement from kthethehtneeeete.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5272 = 198*h - 202*h, -r = 2*h - 2632. Solve 2*y + h - 1309 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*j**3 + 57*j**2 + 42*j - 57.\nAnswer: -3*(j - 1)*(j + 1)*(14*j - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 301*o - 1189. Let w be l(-4). Let p(a) = -2*a - 1. Let q(b) = b**2. Suppose 3*s = g - 7, 3*g = 6*s - 4*s + 14. Calculate s*q(z) + w*p(z).\nAnswer: -z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2)\/(10\/15).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 24*q**2 - 23*q - 7. Determine y(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16635*a + 2 + 16 + 9 - 27.\nAnswer: -16635*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 23 = 5*w - 0*w, s - 23 = w. Let p(x) = -5*x + 1. Let i be p(1). Calculate the remainder when -1*i\/(8\/178) is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014705 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 79 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 64*h**2 - 135*h - 203. Let n be p(-66). Which is the third biggest value? (a) -190 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 31333413?\nAnswer: -31333403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + 1 - (-6705)\/(-1560) and -35\/16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbfbf. What is prob of sequence ffb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o + 72 = 0. Let k = 43 + o. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161 + -155. Suppose 8*h - 39 = 5*h. Let y be 18\/117 + (-2)\/h. Solve y = -q*a + 3*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/74 and 5 + (-20)\/((-79920)\/(-19761)).\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 greater than 414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7321, 13950, 19841, 24988, 29385, 33026?\n\"Answer: -q**3 - 363*q**2 + 7725*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*u**3 - 1926*u**2 + 13128*u + 40320.\nAnswer: 3*(u - 84)*(u - 10)*(7*u + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*h = -1, 446*v - 442*v - 10*h + 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1369 (base 15) in base 11?\nAnswer: -3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -1) + (14 - 8 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = y + 5*n - 22, 4*y - 4*n = 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*q**5 + 14*q**5 - 13*q**5 - 2*q**4 + q**5 + 2*q**4 + (-2*q + 2*q - 2*q**2)*(5*q**3 - 2*q**3 - q**3) + q**5 + 4*q - 4*q.\nAnswer: 19*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*m**4 - 3 + 14 + 5*m**4 - 25*m**4 with respect to m.\nAnswer: -144*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, -7, 5 in increasing order.\nAnswer: -13, -7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, e: 1, o: 1, c: 1, s: 2, z: 1}. Give prob of sequence eza.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.1 (c) -2\/9 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185 + 178. Let z(k) = 54*k**2 + 8*k - 9. Is z(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - -8?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.2, -0.0245, 10\/567, 2?\nAnswer: 10\/567","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/(-20) - 0) + 1. Let v(d) be the first derivative of 4\/25*d**5 + 0*d - 1\/10*d**2 - 1\/30*d**6 + 4\/15*d**3 - m*d**4 + 2. Factor v(p).\nAnswer: -p*(p - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -376\/24975 - -2\/8325. Let o = -88.5 + 101. Let v = -12.4 + o. Which is the second smallest value? (a) v (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 233, 365, 497, 629?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18023?\nAnswer: 67, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/75, -4, 0.13.\nAnswer: -4, 4\/75, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o - 2*o**2 - 52*o + 21*o + 21*o + 7*o - 24*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - 79. Let k = 5.13 - 0.13. What is the closest to h in 0.3, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/25*-1*5\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1312\/(-24)*(-3)\/2. What is the common denominator of (p + -8)\/(60\/(-9)) and (-14)\/(-36) + 0\/(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54019?\nAnswer: 7, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 56785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1490.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 + (1 - -7) + -5 + -7 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57055150689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*p = 2727536, 5*o + 2*p = p + 3409414. Suppose -3*t = -o - 98621. Suppose 4*y + 259832 + t = 0. Round y to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1511*c**2 - 1 + 2 - 1 + 1495*c**2 - 176*c as j + s*c**2 + a*c and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 222*d - 850. Let c be v(4). Solve -24*f = 14*f - c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1884564.40000015 - -1884564. Let q = -0.05 + 0.45. Let n = q + m. Round n to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-8392\nAnswer: 8392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 - 19.7. Let t = 22.912 + d. What is t rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = t - 5*d, d = -5*t - 17 + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.4, -5, -0.1, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.2 + -1.2. Let w = 83 - 87. What is the nearest to s in 5, -3, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/8 + -3\/8. Suppose 20 = -4*l - x, l + 3*x + 5 = 5*x. Let d be (1 + 0 + 0)\/l. Sort -1, d, v in decreasing order.\nAnswer: v, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/5 - 142*d**4\/5 + 727*d**3\/5 + 49618*d**2\/5 - 450268*d\/5 - 499016\/5 = 0.\nAnswer: -19, -1, 14, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 30. Let k = p - 16. Solve 12 = -k*t + 2*l, -3*t + 4*l - 18 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*1\/(-4)*-4. Sort 1, f, -4.\nAnswer: f, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 6, 5 in descending order.\nAnswer: 10, 6, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 5884704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.184 - -0.164. Which is the smallest value? (a) -5\/6 (b) 3\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4683*r**2 - 25154 + 4647*r**2 + 25154.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11260.9 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 64*o + 23 = -60*o, 5*z - o + 27 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxsx when four letters picked without replacement from {x: 2, j: 1, s: 9, k: 1}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 0, -1200, -63 in decreasing order.\nAnswer: 10, 0, -5, -63, -1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xrvupprbxrrrbxr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 121, 247, 375, 505, 637, 771?\n\"Answer: y**2 + 123*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -3*t. Suppose 2*v - v - t = -4*z, -z - 2 = 0. Suppose 0 = -5*p + 3*o + 78, 5*o + 23 = 2*p - v. What is the least common multiple of p and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2966786 to the nearest 1000.\nAnswer: 2967000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/4)\/(1\/(-2)). Suppose -4*z + j*z - 537 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-1)\/(-3) + 154\/21. Let u(j) = -j**3 + 8*j**2 - 5*j - 9. Calculate u(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/15 + -3)\/(14\/(-63)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 182642336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3*d - 2*b**3 + 23554471*b**2*d + 10890012*b*d - 25*d wrt b?\nAnswer: -18*b*d - 12*b + 47108942*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 457632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -13.97.\nAnswer: -1.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Suppose -a + 24 = 2*w. Let m = w - 5. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 0.2, -434?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1150?\nAnswer: -1\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 188 + f - 125.\nAnswer: f + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -40, -57, -94, -157, -252, -385, -562?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 3*o + 3. Let f be t(-3). Suppose -4*s = -0*u - u - 43, -f*s + u = -32. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (3 + sqrt(3)*-2)) + 5 + (sqrt(3) - (sqrt(3) + 0)) + 5 + 4.\nAnswer: 3*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 1401891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-48) + 1\/4. What are the prime factors of (46 + k)*(-1 + 2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3329, 3376, 3423, 3470, 3517, 3564?\n\"Answer: 47*g + 3282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528732576?\nAnswer: 2, 7, 974957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 41 in decreasing order.\nAnswer: 41, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1 - (-3)\/3. Let m(c) = -2*c**2 - c + 51. Is m(d) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200296 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: Let u = 111799508 + -13186986. Let a = 98612477.000053 - u. Let g = -45 - a. Round g to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -69784 (b) 229 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + 18. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*o + 20. Suppose 5*f + 0*q - o = q, q = -3*f + 8. Is 0 - f\/((-8)\/14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 1. Let s(a) = 30*a**2 + 5*a + 14. Let n(t) = 2*i(t) + s(t). Is n(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6 + 6 - 1 + o. Let i(k) = -k + 2. Let y(x) = 9*x - 12. Let v = -43 + 44. Let l(w) = v*y(w) + 6*i(w). What is l(h) - m(h)?\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let k(n) = -4*n + 8. Let i(c) = -k(c) + 3*w(c). Calculate the smallest common multiple of i(13) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 923 = 78. Round i to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1099809 by 1.\nAnswer: 1099809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1098*d**3 - 2*d**2 - 9*d + 10. Determine l(1).\nAnswer: -1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*(-14)\/4*6\/8. Suppose k*y - 4 = 20*y. Find the first derivative of 4 - y - 2*j**4 + 3 wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -168?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chi when three letters picked without replacement from wiicihhirhih?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -2\/15 (b) 3 (c) -2 (d) -7 (e) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/11 - 1824610*q**3\/11 + 16421616*q**2\/11 - 32843304*q\/11 = 0. What is q?\nAnswer: -912314, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u - 1. Let i be y(3). Let l = i - -58. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6339, -12705, -19103, -25545, -32043, -38609, -45255, -51993?\n\"Answer: -2*y**3 - 4*y**2 - 6340*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 11, 23, 35?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 17, -4, -2, -28, -3.\nAnswer: -28, -4, -3, -2, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h = -1078 - 554. Calculate the remainder when h is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 4, a: 1}. What is prob of picking 1 a and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22\/(-8) - -2) + 0)\/((-99)\/8).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 6. Let z be c(-8). Suppose -z*h + 7*h = 15. Solve 6 = -0*q + h*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -58*f + 3583. What is j(70)?\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 380, 4, 83, 21 in ascending order.\nAnswer: 4, 21, 83, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2 + 160*c + 982. Calculate w(-7).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.2623l in millilitres?\nAnswer: 18262.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 8*m**2 - 9. Let w be j(7). Let i = 170 - w. Suppose 4 - i = -3*u. Calculate the highest common factor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (244*m**2 - 244*m**2 - 12*m**3)*(-13*m - 6*m - 43*m) to l*m + z*m**3 + j*m**4 + w + q*m**2 and give j.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 691846454\/3035 - 227956. Let c = 233731\/18210 + v. What is the common denominator of 153\/4*(20\/(-6))\/(-5) and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7707620 and 1450?\nAnswer: 38538100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 10. Let t(g) = 2*g + 11. Let u(m) = 3*j(m) + 2*t(m). Give u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 19*s - 3*g + 6 = 0, 0 = 2*g - 4. Let n be -6*(-1*2)\/(-2). Let k = n - -10. Solve s*f - k = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*sqrt(18)*-4)\/sqrt(6))*4.\nAnswer: -32*sqrt(3) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(30)\/sqrt(6) - sqrt(5))**2 + -5)*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-3)\/(-81))\/((-6)\/((-2052)\/2))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 733\/2, 11, -2 in descending order.\nAnswer: 733\/2, 11, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - (4 + -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2334134 (base 5) in base 11?\nAnswer: 2a381","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2)*(3*u - u + 0*u) - 3*u + 0*u + 5*u - 3 + 3 - 2*u)*(-9*u + 7*u + 9*u)*(-2*u**3 + 0*u**3 + 4*u**3).\nAnswer: 56*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 8:48 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 1331*r**4\/8 - 30492*r**3 + 2095632*r**2 - 64012032*r - 2884. Solve b(s) = 0 for s.\nAnswer: 504\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226844291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/474 and 11\/816.\nAnswer: 64464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4 - f)*(1042*f - 2101*f - 4 + 1121*f).\nAnswer: -62*f**2 - 58*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563783?\nAnswer: 11, 107, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 9*m**2 + 74*m - 602. What is w(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/88 - 34\/187.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/748934 and 50\/3073?\nAnswer: 5242538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166613 or 7?\nAnswer: -166613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k*k\/k**(-23))*k)\/k)\/k**(-3))**(-2\/41) assuming k is positive.\nAnswer: k**(40\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 1\/2 (c) 6\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00084299 rounded to six decimal places?\nAnswer: -0.000843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + q)*(-38*q**2 - 38*q**2 + 82*q**2) + 5*q**3 + 10*q**3 - 20*q**3 - q**3 + 0*q**3 - 5*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -562?\nAnswer: 9\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/31*4\/10. Let v = 206184 + -206182. What is the biggest value in 2\/9, v, -3\/2, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2357\/9332 - -6\/2333. What is the third smallest value in i, 0, -3, 5062?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 14) to base 11\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, 4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (993450\/(-24235) + (15 - 3)) - 9.\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88855 is divided by 116.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29190)\/3336)\/(364\/32)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 346\/18 - (-2)\/(-9). Let t = s - 15. Suppose 0*p - 3*i - 10 = p, -5*p - t*i = 17. Put -3, 1, p in descending order.\nAnswer: 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193081 is divided by 138.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274747537.\nAnswer: 7, 182106791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98*(-390)\/(-44590)*(-728)\/12.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18586, 18587, 18588?\nAnswer: 18589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 145*k**2 - 4*k + 2. What is the smallest common multiple of 286 and m(1)?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29108)\/456 - (-56)\/(-48).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 + -4*(-4)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154344231 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15341 is divided by 1128.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 2\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k + 27 = 259 + 14 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/4)\/((1 - -3)\/4). Suppose -4*s + 2*s = r*a - 31, -5*a + 45 = 2*s. Let l(x) be the third derivative of x**4\/24 - 13*x**3\/6 + x**2. Determine l(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-532)\/3192 - (7\/(-78))\/1\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174627318 to the nearest integer?\nAnswer: 13215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 465, 469, 475, 483, 493, 505?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 77, 326, 731, 1280, 1961, 2762, 3671, 4676?\n\"Answer: -2*y**3 + 90*y**2 - 7*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51\/5*z - 1\/5*z**2 + 106\/5 = 0 for z.\nAnswer: -53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (1 + -1) - 1. Let o be 116\/6 + d\/(-6). Let g = o - -12. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-152))\/((-2)\/2) - 0.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15038 is divided by 278.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 2*j**2 + j**2)*((-3 - j**2 + 3)*(-4 - 2 + 7) + (-13 + 5 - 12)*(301 - 301 - 51*j**2)) - 3*j**4 + 5*j**4 - 3*j**4.\nAnswer: 3056*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196217 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -180.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/7924056 and -93\/404?\nAnswer: 7924056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d + 23. Let b(p) = -3*p + 11. Calculate 5*b(z) - 3*i(z).\nAnswer: 3*z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43115166, 43115165, 43115174, 43115199, 43115246, 43115321, 43115430?\n\"Answer: v**3 - v**2 - 5*v + 43115171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3366 and 33660.\nAnswer: 33660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 20 = -6*q. Suppose -27 + 167 = q*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.932*0.1616.\nAnswer: -1.9282112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -n - 11, -3*o - 2*n = -9 - 2. Let v(d) = -d - o*d + d. What are the prime factors of v(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429393 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 4*u + 1. Let v(r) = 5*r**2 + 39*r + 15. Give -v(d) - 3*x(d).\nAnswer: -2*d**2 - 51*d - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1140236410.\nAnswer: 2, 5, 17, 6707273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -752*l + 1508. Let k be u(2). Determine a so that 4\/7*a**k + 0 + 24\/7*a + 52\/7*a**2 + 32\/7*a**3 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32b + -5?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 937925827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Suppose a*g + 11 = 2*o - g, -5*g = 2*o - 21. Solve 0 = 5*v + 5*x - 20, 2*x + 3*x = -2*v + o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - g - 2*g)*(1 - g - 1) + (-3659853 + 1189*g + 3659853)*(-3*g + 7*g - g) in the form l*g + y*g**2 + v and give y.\nAnswer: 3568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.195 + -0.595. Which is the nearest to 0? (a) 0 (b) -76 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1603, 3129, 4489, 5599, 6375, 6733?\nAnswer: 6589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 7)*-2 - (-96)\/128*136\/(-30)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/25))**(-37) assuming c is positive.\nAnswer: c**(-851\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/297)\/(-23 + 3770\/165 + 4\/(-22)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.9 (c) 2\/3 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -136 + 131. Sort -30, 0, u in increasing order.\nAnswer: -30, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3000\/(-1750)*21\/(-9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*h**2 - 1 + (0 + 0 - h)*(93*h - 59*h - 242*h) to the form u*h + c + p*h**2 and give p.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 6840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, -0.2, -0.4.\nAnswer: -14, -1, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 2. Let m be k(1). Let r = 10 - 6. Let f = -5 + r. Let a(z) = 3*z**3 + z**2 + 2*z. Let o(v) = v**3 + v**2. Give f*a(j) + m*o(j).\nAnswer: -2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhwocpch. Give prob of sequence cw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -661?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 23 + -72 + (-85 - -171)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.1. Let x = -0.08794 + 5.08794. Let u = 14\/13 + -95\/52. What is the closest to m in -3\/2, x, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 10:36 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2 + 1. Suppose -24 = j*r + 2*l, -3*l - 5 = 2*r + 11. Let s be (r\/12)\/(3\/(-9)). Solve 0 = 3*a + s*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - l + (3*l - 3*l - 2*l)*(-1 + 2 - 2) - 4*l + 3*l + 0*l + (254*l + 44*l + 187*l)*(-1 + 3 - 1))*(-1 - 2 + 1).\nAnswer: -974*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 6715209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 4*r**2 - 4*r - 4. Let n(a) = -a + 5. Let v be n(-5). Suppose y + 0*y - 5*g = -v, 3 = g. What is u(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8104 + 8104.1. Which is smaller: y or 1.09?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*i - 5 = 0, 0 = 2*r + 5*i - i + 10. Suppose 2*k = r*c + 592, 181 = -3*k - 2*c + 1107. Is (k\/4)\/3 + 1\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9931702.\nAnswer: 2, 11, 451441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 123102000434?\nAnswer: -123102000432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**6 - 587971403*v**5 - 3*v**2 - 182839275 wrt v.\nAnswer: 120*v**3 - 35278284180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 27*w**3 - 240*w**2 + 700*w.\nAnswer: -w*(w - 10)**2*(w - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 12, -3*h - 3*p - 2 = 1. Suppose -6 = -5*x + v + 7, -v = h*x - 8. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01784659909 to 4 decimal places.\nAnswer: 0.0178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86977?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**1)\/h)\/h*h)\/(h\/((h\/(h**(4\/9)\/h))\/h*h)))**(-34) assuming h is positive.\nAnswer: h**(-476\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 484505 - -3?\nAnswer: 484508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733853315?\nAnswer: 3, 5, 115590221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80889, -80938, -81009, -81102, -81217, -81354, -81513?\nAnswer: -81694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f**3 - 2*f**2 - f. Let u be n(-1). Suppose 0 = -i + 3, u*q + 13 = i + 50. Solve 0 = -3*m - t + q, 7*m = 2*m + t + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 1. Let p(c) = c - 2. Calculate -6*m(j) + 5*p(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -172. Let n(x) = -x**3 + 15*x**2 - 2*x + 9. Let p be n(15). Let s = c + p. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*x**3 - 898*x**2 - 752*x - 32 = 0. Calculate x.\nAnswer: -4, -1, -4\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 3:13 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 13*p - 31 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*1)\/sqrt(12) + (((sqrt(22) - -2*sqrt(22))\/sqrt(11))**2 - (sqrt(16)\/sqrt(128))**2).\nAnswer: 2*sqrt(2) + 143\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*v - 540 - 631 = 383 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4494644 divided by -4\nAnswer: -1123661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -9, 1, 11.\nAnswer: -9, 1, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/252 and 19\/32?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-644*l + 101*l - 413*l)*(-l + 0*l - l) in the form r + h*l**2 + y*l and give h.\nAnswer: 1912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**3 - 11*q**3 + 7*q**3)*((-3*q + 4*q + 0*q)*(2 + 4 - 4) + 2*q - q + q) in the form i*q**4 + j*q**2 + a*q**3 + r + b*q and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52846 and 198.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(15 + -3) - 4. Let t(d) = 4*d**2 - 3*d + 1. Let u be t(2). Sort -1, v, -3, u.\nAnswer: v, -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = 3. Let a = -6 - m. What is the units digit of (-4)\/a*(-18)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**3\/4 - 45*b**2\/2 - 103*b\/4 + 273 = 0.\nAnswer: -4, 3, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v*v)**(-1\/3)\/((v*v**(-2\/5)*v)\/(v\/v**(-8)*v)) assuming v is positive.\nAnswer: v**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1533\/12 - (-2)\/8. Let h = o - 75. Suppose 3*z - h = 7. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20464*o - 20469*o + 105 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38406 - -38406.5. Which is the closest to -0.16? (a) -2 (b) 2\/3 (c) f (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*f**3*t**4 + 2*f**3*t**2*y + 16*f**2*t**2 + 2*f*t**3*y - 2*t**4*y + 4*y wrt t?\nAnswer: -336*f**3*t + 12*f*y - 48*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 765242507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -128 + 327?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 divided by 2?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54391 + -59532.685.\nAnswer: -113923.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11818.95704 + -0.051?\nAnswer: 11818.90604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 681832363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*q + 37*q + 626. What are the prime factors of q?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3756 + 2*r - 1595 - 4*r.\nAnswer: -2*r - 5351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**5\/10 - 3*q**2\/2 + 2*q + 3. Let o(r) be the first derivative of f(r). What is the first derivative of o(j) wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1740402?\nAnswer: 1740402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*s + 51*s + 47*s.\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67629, 67680, 67725, 67764, 67797, 67824, 67845?\n\"Answer: -3*q**2 + 60*q + 67572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.516 + -11.67. Let g = k + 0.87. Let h = 0.284121 + g. What is h rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -10363, 0, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -15.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 3 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2655, -2662, -2669?\nAnswer: -2676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61991588653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 178.8936 days?\nAnswer: 257606.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312708 times 28?\nAnswer: 36755824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1066 - 832 + 734*n - 1267 + 1264 wrt n?\nAnswer: 734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/105 and -181\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*y - 22*y + 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/(-12))\/(-7)*-1. Suppose -s + 3 = 0, -1 = -0*a + 2*a - 3*s. Suppose -40 = -5*u - 5*f - 0, -a*u + 5 = -5*f. Which is bigger: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.1 + -19.1. What is the nearest to 4 in 1\/6, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1053) - sqrt(1053)*5)*-2)**2.\nAnswer: 606528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/5)\/a*a)**5)**(7\/2))**(-41) assuming a is positive.\nAnswer: a**287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -w + 6*f + 9*f - 941, -940 = 5*w - 15*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -48. What is the remainder when 124\/16*(-2 + 26)\/3 is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*c + 57988, -3*c + 74320 = -5*d - 12695. Round c to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*s**6 - s**4 - 189*s**3 + 3*s**2 - 1715 wrt s?\nAnswer: -1920*s**3 - 24*s - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 96, 11, -1 in increasing order.\nAnswer: -1, 11, 17, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -608, -591, -564, -527, -480, -423, -356?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1800*f**2 + 31*f + 2. Let z be x(6). Let y = 55012 + z. Suppose -10*q + y = -8*q. Round q to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 4*u. Let p = 29 + -20. Let m(f) = 2*f**2 - 9*f. Give p*l(o) + 4*m(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 4*g - g - 7*g)*(3 + 1 + 4).\nAnswer: -72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2476*x - 2476*x + x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113*0.5.\nAnswer: 56.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/312? (a) 1 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4300 - 4226. Solve -5*t = -w*c + 72*c - 10, 0 = -2*c - 5*t - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzj when three letters picked without replacement from jjzzcfccfccc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15427 + -1186378.\nAnswer: -1170951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 4*v**2 - 2. Let g be k(-3). Let l = 7 + g. Suppose -h + 2*f + l = 0, -3*h - 4*f + f = -15. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-1365)*13 + 3\/(-21). What is the second smallest value in 2.9, q, -10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygaoaggygeyu. What is prob of picking 1 u and 1 g?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 11:07 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308824137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b + 66 + 71*b**2 - 72*b**2 + 26*b. Let f be r(24). Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 415*q**8\/336 + 13*q**5\/6 - q**4\/12 - 21*q**2 - q. Find the third derivative of r(n) wrt n.\nAnswer: 24900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*y**5 - 62*y**4 + 56*y**3 + 8*y**2 = 0. What is y?\nAnswer: -1\/8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-99)\/(7 + -4))\/(-3). Suppose 8*x = -2*l + r*x + 3, 2*l + 3 = 5*x. What is the smallest common multiple of l and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1369234.2317 - 1424876.43. Let s = d + 55603.1982951. Let b = s + 39. Round b to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*v**2 - 24*v**2 + 16 - 152*v**2 with respect to v.\nAnswer: -360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -84, -186, -328, -510, -732, -994?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8961\/4 + -2229. Let z = -6 - -2. Find the common denominator of 568\/(-20)*(-1)\/z and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -27134 (c) -17 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-44))\/(36\/198).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -171.5 and 100.4.\nAnswer: -17218.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 = -3*o + 3*m + 214, 0 = 13*o + 4*m - 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 7, r: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219\/(-318) + 2\/6 - 161\/(-46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 10*a + 7. Let c = -6636 - -6626. Calculate n(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:15 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 1, n: 2, y: 2, e: 1}. Give prob of picking 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 11*v**2 - 12*v + 6. Let s be w(-9). Let h = s - -85. Calculate the remainder when h is divided by (-91)\/273 - (-1)\/(-3)*-58.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -j + 5*p, -j = p. Solve -j*s + 3 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*((-69120)\/400)\/(-72).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3463 divide 124210884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 21 + -1 + -2 + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - -13. Suppose 72 = 4*x + 2*t, -5*t + 8 + 12 = 2*x. Calculate the greatest common factor of g and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) - ((-2)\/32 + 2204\/(-3648)). Which is the fifth biggest value? (a) -0.4 (b) -6 (c) -0.1 (d) 3.3 (e) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (12 - (1 + -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/6 - 60\/(-40). Let u = -2 + 0. Sort u, h, -0.3.\nAnswer: u, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27, 2, -33, -66, -85, -78?\n\"Answer: 2*v**3 - 17*v**2 + 12*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-80 - -38 - -55)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 g when three letters picked without replacement from {h: 1, o: 2, g: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*570\/(-2926))\/((-28)\/(-49)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597072 is divided by 3001?\nAnswer: 2874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 219, 1859, 6355, 15135, 29627, 51259, 81459, 121655?\n\"Answer: 238*q**3 - 26*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 + b**2 + b - 1. Suppose -7 + 3 = -4*o. Let l be d(o). Let x be ((-1)\/l)\/(5\/(-30)). Are -4 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.6 to zero decimal places.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 0.5 (c) 3\/2 (d) 5 (e) -3 (f) 3 (g) -0.0283\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*-6 + 17. Let n(x) = -3*x**3 + x**2 - x - 1. What is the remainder when n(-2) is divided by 4\/t - (-162)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/10 - x**5\/15 + 7*x**4\/24 + 22*x**2. What are the prime factors of j(3)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - i - 3, 2*i + 7 = -5*u + 4. What is the highest common divisor of u and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:07 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 96269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/8)\/(1\/(-20)). Let s(x) = x**2 - 2*x - 5. Let f be s(q). Does 10 divide 1\/(-5) - (-382)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*y = 3, 11*m - 19*y + 17 = 10*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -27. Suppose -j = g - 71. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 26*v**2 + v + 35. What is the remainder when 116 is divided by k(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/15)\/(4\/(-10)). Let u be (-1965)\/(-105) + 2\/s. What is the remainder when 82 is divided by u - (3 - 2 - 3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 14 = -16. Solve -d*o + o = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**4 + 8*m**2 - 17. Suppose d(q) = 0. Calculate q.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -180. Let y = 79 - t. Solve 3*l + 0*l + 5 = -5*x, -x + 2*l + 12 = y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 4 (c) -3 (d) 0.3 (e) -390\/7 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047825601 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91650231 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 155110391 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 4:19 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) + 0)**2*4 - sqrt(176))*5 + (-2*2*sqrt(176) + (5*(sqrt(176) + (sqrt(176) - (-1 + sqrt(176)))) - sqrt(176)))**2 + -4)*-1.\nAnswer: -3541 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + 1)**2 + -2 + sqrt(34)\/sqrt(2) - (sqrt(425) + 3)*3.\nAnswer: 6*sqrt(17) + 1690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-1*sqrt(200) + sqrt(200))*5)\/(sqrt(20)\/(sqrt(5) + sqrt(20)\/sqrt(4))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/24*(-1083)\/1330*-5.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(245)*2 + sqrt(245))**2.\nAnswer: 19845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-9 - -6) + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 greater than 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 6*c**2 - 2*c + 13. What is the remainder when v(3) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -108. What is m rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4381 - -6781. Suppose -4*f = 8*f - u. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/28 of a week?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -64, -0.13, -2\/35, -0.2, -4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2 - 4*g + 2 + (-2*g - 19 + 19)*(-2 + 4 + 0) + 4*g - 4*g + 7*g.\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*130.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4905734 is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2. Let o(i) = 3*i + 2*i + 7*i - 17*i. Give o(a(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2086 + -2049 + -58 + 1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 5*v - 3. Let y be a(-6). Suppose 3*r - 14 = 7. Solve -r*l + 20 = -y*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 15*a - 9. Let d be i(14). Suppose u - 156 = -d*u. What is the greatest common factor of 286 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.1. Let r = -0.36 + -0.36. Let s = r + 5.72. Which is the closest to s? (a) v (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*o - 75, -6*o = -2*j - 2*o + 52. Suppose -15 = -15*a + 90. Solve -a*p - j = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*w**3 - 285*w**5 - 3*w**3 + 266*w**5 + 593*w + 0*w**3 wrt w?\nAnswer: -380*w**3 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 8*s**2 - 11*s - 8. Let w be d(-7). Let n = w + -60. Round n to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**6\/5 + 27*t**5\/20 + 9*t**4\/4 - t**3\/2 - 9*t**2\/2 + 37*t. Factor a(p).\nAnswer: 3*(p + 1)**2*(p + 3)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 58 (c) 177 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + ((-8)\/2 - -358).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 113*i**2 + 532*i + 7055. Give k(-117).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30956?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 792*m + 2 + 645*m + 1180*m + (5 - 2 - 4)*(-5*m + 2*m + 2*m) to y*m + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 16*w + 39. Let v be z(13). Solve v*t - 1 = 4*t + 3*b, -t = 3*b - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6629646379?\nAnswer: 149, 157, 283403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 41, 75, 117, 167?\n\"Answer: 4*d**2 + 14*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10625 and 23902?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 95.59?\nAnswer: 95.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 2, -1, -5, -9.3 in descending order.\nAnswer: 2, 1\/7, -1, -5, -9.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -2*w + 1\/4*w**4 - 1\/2*w**2 - 18 + 8\/3*w**3. Let u be r(-8). Solve u = 3*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 121*u - 258. What is the remainder when o(-23) is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + 16*b**2)*(3 - 4 + 0 + 0 - 2 + 1 + (-3 + 0 + 1)*(0 + 0 - 3) + 6 + 0 - 3).\nAnswer: 112*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-14)*(-14)\/4. Suppose q = 3*m - m + 5, 0 = -2*m - l*q + 10. Let u(f) = f**2 - 11. What is u(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 y when four letters picked without replacement from hcucyhyyhuhiyyiuu?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70.1 - -108.9. Let g = -222 + u. Which is the third biggest value? (a) g (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(6\/(-3)))\/(60\/30).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, 1\/4, -16, -0.4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g - 40*g = 72 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -232238*x**5 + 317999*x**2.\nAnswer: -13934280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3139 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(-1\/13))*c**(-5)*(c\/c**(1\/3))**(1\/7) assuming c is positive.\nAnswer: c**(-1360\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6714 + 6710. What is the closest to 11 in 3\/5, 7, m?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*p + 34. Let s = 28 - p. Suppose -4*v + 12 = 2*h - 0*v, s = 2*h + 3*v. Which is the smallest value? (a) h (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -74850, -149616, -224384, -299154, -373926, -448700?\n\"Answer: -z**2 - 74763*z - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Suppose 5*a - 21 = 3*l, -5*a + 25 = -z*l - l. Suppose v = 3*r - 27, 9 = -4*r - a*v + 45. Solve -5*m + i = -2*m + r, 0 = -3*m + 4*i - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 55880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-5)\/10.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 2 - 2 + (-2*s**2 - 2*s**2 + 11*s**2)*(-2*s + s - 898*s**2 + 979*s**2).\nAnswer: 568*s**4 - 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25634257 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 184*l - 2139. Determine p(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 637 and 1638.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 63. Suppose 3 = f - l. Let c(i) = 7*i. What is the tens digit of c(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305886103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 666338093 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11267871 + -32?\nAnswer: -11267903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -1\/46, -1\/2, -2\/9, 2.5 in decreasing order.\nAnswer: 61, 2.5, -1\/46, -2\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**6\/120 - p**5\/10 + p**4\/2 - p**3\/3 - p. Let g(f) be the second derivative of y(f). Suppose g(s) = 0. Calculate s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.043 + 10.657. Let g = -11.2 + a. Put -1, -2\/11, g in decreasing order.\nAnswer: -2\/11, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17 + 21*r + 11 - 21*r + 76*r wrt r?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4*u + 14266, 3115 = -2*z - 5*u - 11149. Let f = z - -42919\/6. What is the common denominator of f and 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79*y**3 + 52*y**3 + 54*y**3)*((y - 1 + 1)*(30 + 59 - 20) - 2*y - 3 + 3 + 2*y - 5 + 5) to a*y**3 + b*y**4 + j + p*y + l*y**2 and give b.\nAnswer: 1863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1338*f**2 - 1820618 + 84*f**2 + 1820619.\nAnswer: -1254*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -3*s**6\/20 + 8*s**3\/3 + 11*s**2. What is the first derivative of p(t) wrt t?\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1104 in 2\/17, 1\/59, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.585 minus -0.0235816?\nAnswer: 3.6085816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**2 + 4*o. Let q = 44 - 45. Let x(l) = -l**2 + l. What is q*u(c) + 4*x(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ullhhuhlhff. What is prob of picking 2 f and 1 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24799*w**3 - 12326*w**3 - 12509*w**3.\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -605*h + 606*h + 5. Sort 1, h, -8, 0.\nAnswer: -8, h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 1. Let i(u) = 21*u - 156. Let h(a) = 4*f(a) - i(a). Let s be h(6). Solve -s*z - 10 = 0, -4*p - z - 14 = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2203964 or 2203999?\nAnswer: 2203964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100111100101000100 (base 2) to base 10.\nAnswer: -424260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 - 4)*(2*j - 4*j + 0*j) - j + 0*j - j)*(-16 - 3 + 27) to the form v*j + z and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 162 = 2*j + 13*w, -w + 228 = 4*j + w for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80082 and 531306.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2*p + 131999995 = 0. Suppose 3*u = 8*u - 15. Suppose 3*c - 19800003 = -3*m, u*m + m = c + p. Round m to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 495 + -493. Suppose -5*c + 0 = 4*k - 8, 0 = -w*k - 6. Solve -4*d = 12 - 0, 3*f + c*d = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-2992)\/32))\/((-1)\/(-66))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 + 32989 = 655*i + 610 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**4 + 44*u**3 - 9*u**2 - u wrt u?\nAnswer: 48*u + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 27 - 27)*(-13*z + 18*z + 14*z)*(2 + 0 - 1).\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 40*a = -10. Solve 0 = -7*m + a*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -87*k + 806. Is l(-30) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98, -243, -446, -713, -1050?\n\"Answer: -j**3 - 23*j**2 - 69*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1103 and 2150?\nAnswer: 2371450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -49*g**3 - g**2 - 6*g - 38. Let q(v) = 33*v**3 + 5*v + 37. Give -3*q(d) - 2*z(d).\nAnswer: -d**3 + 2*d**2 - 3*d - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5, -6*u + 5*u - 5*l + 3 = 0. Let m be (-6)\/(36\/(-10))*(-2)\/u. Suppose 0 - m*c**4 + 2\/3*c + 3*c**3 + 1\/3*c**5 - 7\/3*c**2 = 0. Calculate c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -50.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.955 * 26.277.\nAnswer: 103.925535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, 32, 94, 156, 218, 280?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.1, 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5668 - -18?\nAnswer: -5650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12*2\/8)\/(6\/32). Let m be (7 + -1)*3*-1. Let g = n - m. Let v(j) = -2*j**2 + 1. What is v(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/72 + 80\/36. Suppose -4*v = 3*v. Factor 0*a - 2*a**s - 5\/2*a**4 + 1\/2*a**5 + v + 4*a**3.\nAnswer: a**2*(a - 2)**2*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 4. Suppose 12 = v + 5*j, -2 - 8 = -2*j. Sort -5, v, i, -1 in decreasing order.\nAnswer: -1, i, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11022?\nAnswer: 2, 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226973661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(66)\/(sqrt(6)*2) + sqrt(11) - (-2 + sqrt(99) + sqrt(11) + sqrt(11))).\nAnswer: -7*sqrt(11)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/((-165)\/66).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 - 2 = 0. Let f(a) = -a**3 - 5*a**2 - 2*a - 6. Let d be f(-5). Suppose -5*h + s + 2 = 0, 0 = -4*h - d*s + 9 + 7. Sort o, -1, h.\nAnswer: -1, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30582, -43340, -56098, -68856, -81614, -94372?\n\"Answer: -12758*b - 17824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by ((-10)\/6)\/5 + 70\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1842\/3229 or -2?\nAnswer: -1842\/3229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 3*1*sqrt(1100) - ((1 + sqrt(1100))*-3 - sqrt(1100)))*-5)**2.\nAnswer: 12000*sqrt(11) + 1760225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d, -2*g + 4*g - d = 486. Suppose -1149 = -10*o + 5*o + 3*q, g = o - 5*q. Suppose c = 4*x - 1007, x = c + 4*c + o. List the prime factors of x.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 12. Calculate the lowest common multiple of j and (-12)\/(-66) - 480\/(-22).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + -7 + 0 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*k - 311541, 0 = -5*p - 2*k + 5*k + 389433. List the prime factors of p.\nAnswer: 2, 3, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(12\/5)\/r*r*r\/(r*r**(-17)*r)*r assuming r is positive.\nAnswer: r**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7\/102?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + -2777338?\nAnswer: -2777347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let z be 100\/4*2\/(-5). What is the remainder when 25 is divided by t(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24166 - -24157.9. What is the second smallest value in 3, o, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}