diff --git "a/data/dm_maths/full_data_1/2189_11255.jsonl" "b/data/dm_maths/full_data_1/2189_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2189_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 220866 is divided by 233?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*j - 4*j + 2*j to f*j + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167 - -229. Suppose r = 5*q + 37. Suppose -4 = -2*g + g. Solve -g*d = d - q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 1 + 9 - 13*x. Let f(q) = -5*q + 3. Let y(v) = -v**3 + 4*v**2 + 4*v - 2. Let n be y(5). Let c = -10 - n. Give c*o(r) + 10*f(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9697 - 87272\/9. Let c(l) be the first derivative of -u*l**3 - 19 - 1\/3*l**2 + 0*l. Solve c(p) = 0 for p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878 divided by -439?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5408, -5403, -5394, -5381, -5364, -5343?\nAnswer: -5318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(8\/5)*u*u*u)*u**(-1\/2) assuming u is positive.\nAnswer: u**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-544)\/(-30) - (-6786)\/(-754)) + (-26)\/(-30) + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 65. Suppose -k = 2*g - q*g - 18, 51 = 2*k + g. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3246 - -3252. Let d(f) be the third derivative of 0 + 57\/28*f**4 + 0*f + 4\/5*f**5 + 18\/7*f**3 + 26*f**2 + 4\/35*f**v. What is n in d(n) = 0?\nAnswer: -2, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-484)\/(-440)*9152 + (-12)\/10 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31802 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -32524\/13131?\nAnswer: -32524\/13131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 18*x**2 + 8*x - 55. What is the units digit of s(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o**2 + 3. Suppose 0 = -b - 1 - 1. Let t(u) = 46*u**2 - 16. Let g(h) = b*t(h) - 11*a(h). Does 3 divide g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 7268\nAnswer: -14536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12753*d - 498523 = 419693 for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75782 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2428767*-0.069\nAnswer: 167584.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4815, 9630, 14445?\nAnswer: 19260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, -11, -24, -43, -68?\n\"Answer: -3*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + 40 + -123 + 62 + 3 + -2?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75 + 3475898.79612?\nAnswer: 3475899.54612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0 + 5\/2*u**2 + 1\/6*u**3 - 79*u. What is g(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 = 60*q - 744 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 0*q**3 + 0*q + 1\/24*q**4 - 3\/2*q**2 + 2. Let o(i) be the second derivative of b(i). Let r(d) = 3*d**2. What is o(r(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 8 = -3*u - 3*m, 0 = 2*u - 2*m + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - ((19 - 0) + -17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -998 and 12270 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 4*k - 7. Let s be t(6). Let l = -9 - -14. Suppose l*g + 3 = 2*o + 9, 0 = -s*g + 4*o + 2. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {w: 1, c: 4, h: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12316 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3177*y = 2751*y - 17466 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 26. Suppose -b - b - 88 = -m*g, -5*g + 89 = -b. What is the lowest common multiple of g and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) 3\/154 (b) -6 (c) -0.03 (d) -0.1 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -529936\/131 or -4046?\nAnswer: -529936\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.31441 + 0.21441. Let t = -3 - -2.8. Which is the nearest to 5? (a) v (b) 1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48597474 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-5)\/(60\/22) + 2). Let l(h) = h**2 + 5*h - 4. Determine l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, 153, 240, 51, -594, -1875, -3972, -7065?\nAnswer: -11334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 22*g + 1. Let d(v) = 133*v + 28. Let s(n) = d(n) - 6*w(n). What is s(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((56\/96)\/(-1)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2552*o + 36838 + 12378 - 13685 + 38477 = 0 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14223297*q + 5319198?\nAnswer: 14223297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-3\/11)*c*c*(c*c**(-12)*c)\/c*((c\/c**(-25)*c)\/c)**(-2\/31) assuming c is positive.\nAnswer: c**(-3393\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171292415 to the nearest integer?\nAnswer: 13088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9\/2)*v\/v**(-1\/9)*v*(v*v\/(((v\/(v*v**20))\/v*v*v)\/v)*v*v)\/(v\/((v**(11\/4)\/v)\/v)))**(-7\/6) assuming v is positive.\nAnswer: v**(-5383\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 641, 1266, 1901, 2552, 3225, 3926, 4661, 5436?\nAnswer: 6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 3, 5*q - 7*l + 2*l = -20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41061 and 21.\nAnswer: 287427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50578 = 42*p - 453884. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**8)\/u*u\/(u\/(u\/u**3))*(u**1)**(-41) assuming u is positive.\nAnswer: u**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 5*f - d - 745, d = -4*f + 614. What is the highest common divisor of 341 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 922323999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1, 3, -2\/9, -4\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27727 + 27727 + 5*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -857, -0.49, 0.337, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + (22 - 59) + 42 + -7?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 11 = 17*v - 259. What is the remainder when 3733 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.155 - 0.549. Let w = 0.094 + x. Let v = 0.16 - 5.16. Which is the closest to -0.5? (a) w (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 5*t**4 - 4*t**2 + 7*t**4 + 6 - 5 + 0 in the form f*t**2 + j*t**4 + a*t + q*t**3 + p and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 2*j. Let h(f) = 17*f + 57. Let i(z) = -22*z - 68. Let y(p) = -13*h(p) - 10*i(p). What is y(g(d))?\nAnswer: 2*d**2 - 2*d - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(4 + (-28)\/8). Let q be -4*(-6)\/(-60) + x. Which is the closest to 0.6? (a) q (b) -1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1076112 and 3138660?\nAnswer: 37663920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/(1\/(-4)). Let k = 608 + -620. Let r be 1\/(-2)*k\/g. Put -2, -4, r in ascending order.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009064020869 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34029682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 104*v**2 - 165*v**2 + 160*v**2 to the form w + b*v**2 + j*v and give b.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 40 + 4. Let z = 1 - -5. Let k(u) = -2*u. Let v(d) = d. Let m(w) = j*v(w) + z*k(w). Let i(l) = 4*l. Give i(m(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + 0.5. Let x = 10251 + -10248. What is the biggest value in c, -0.7, -1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -40 + 35. Let b = -0.3 - -2.3. Let o = 20 - b. Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*d + 41 = 0, -p = 4*d + 18 + 28. Is -6*(-1 + p\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:08 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -183.\nAnswer: -21.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124824 is divided by 607.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/((-90)\/48))\/((-13484)\/(-6)). Let b = h - 124807\/67420. Calculate the common denominator of b and 121\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 - 13) - 13) + -29\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -241 divided by 15855\nAnswer: -241\/15855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-391)\/(-68) - (-2)\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 1235731.\nAnswer: -1235731.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**22\/w**(-17))\/((w\/w**6)\/(w**(-18)*w)) assuming w is positive.\nAnswer: w**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 10. Let v be ((-2)\/u)\/(4\/18). Let g(h) = h**2 + 4*h - 1. Let s be g(-4). Is s at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (128 - 134) + -4 + 26 + 64?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1193 (b) -5 (c) -0.3 (d) 4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11\/h)\/h*h*h\/((h*h*h**11*h*h*h)\/h)*h*h*h*h**(-3\/2)\/((h\/(h*h**3)*h)\/h) assuming h is positive.\nAnswer: sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31032002 (base 4) in base 11?\nAnswer: 37754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*r = -109*r + 11436 - 11836 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 483\/98 + (-1)\/(-14). Suppose 4*r - 60 = 5*f, b*f - 7 - 13 = -4*r. Calculate the remainder when 117 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60222*n**2*p**3 - 762431309*n**2 + 2458*n*p wrt p?\nAnswer: 180666*n**2*p**2 + 2458*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 = 7. Let r be (8\/20)\/(g\/5). Put 3, r, -0.1 in decreasing order.\nAnswer: 3, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -175, -319, -521, -799, -1171?\nAnswer: -1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmgrrmmrmmmmmmrmrr. What is prob of picking 2 r?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*r = 2*q + 63*r + 10, q - r = 9. What is the remainder when 299 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q = -235*q - 3840. Sort 8, -3\/2, -3, 2, q in descending order.\nAnswer: 8, 2, -3\/2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**(4\/27)*h**7*h**(-6)*h*h*((h**(5\/2)\/h)\/h**(-7))**(-38) assuming h is positive.\nAnswer: h**(-8638\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 128*0.9\nAnswer: 115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1695*o - 1698*o + 3379*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 5*o + 5. Let r be w(-5). Suppose -r*q = -4*n + 24, 2*n + q = 4*n - 18. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123*(-3)\/99 + 1 and 43\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1167, 2309, 3445, 4575, 5699?\n\"Answer: -3*y**2 + 1151*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 1419.\nAnswer: 41\/1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -224 + 225. What is the common denominator of -1*h - ((-3256)\/(-192))\/11 and -41\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 472 - 472. Suppose o = -401*h + 408*h - 42. Let g(w) = w. Let k(n) = -9*n - 1. Calculate h*g(s) + k(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - -14. What is the remainder when 56 is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 6611.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 423.6261, 2\/5, -0.5, -1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/3 - 7652*w**2\/3 - 5897218*w\/3 + 121021160\/3 = 0.\nAnswer: -2743, -1103, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 849 and 5943?\nAnswer: 5943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 63370.2 to the nearest 100.\nAnswer: 63400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a41819 + -1?\nAnswer: 4a41818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2319283 divided by -20.\nAnswer: 2319283\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -94\/1697, -3\/7, -0.5?\nAnswer: -94\/1697","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 16 = 2*g - 4*g, -3*s = 5*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*j - 8*j + 64, -j + 3*z = -36. Let o = 25 - j. Which is smaller: 9\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r - 1. Let s be w(4). Let p(h) = h**3 - h**2 + 3. What is the remainder when p(s) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 21 in increasing order.\nAnswer: 1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -16186.55.\nAnswer: 8093.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - t - 6 = 0, 5*t = z + 3 + 12. Let r(k) be the first derivative of 1\/2*k**2 - 2*k - 30 - 1\/4*k**4 + 5\/3*k**3. What is r(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/18)\/((-6)\/597). Factor 4240*q**2 + 1657711 + 1900052 - 396*q**3 - 431244*q - l*q**2 + 5041*q**2 + 10520*q**2 + 3*q**4.\nAnswer: 3*(q - 33)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**2 + 263400*l - 7379120 = 0. What is l?\nAnswer: -52708, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1738, 1736, 1732, 1726, 1718, 1708, 1696?\nAnswer: 1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 21 in ascending order.\nAnswer: -3, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-146714)\/(-22) + 12\/66. Suppose -14046 = -3*q + k. Is q\/(2 + 3) - -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 65*x**2 - 2*x + 1. Let q be v(1). Let p(r) = 11*r**2 + 13*r - 21. Let w be p(2). Let s = q - w. What is the remainder when s is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3284 - -22990\/7. Let r = -3 + -2. Sort 2, r, a, 0.1.\nAnswer: r, 0.1, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 15, 29, 57, 105, 179, 285, 429?\n\"Answer: c**3 - 2*c**2 + 5*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 62106\nAnswer: -62106.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 564, 1000, 910, 30, -1904, -5156, -9990?\n\"Answer: -44*b**3 + b**2 + 741*b - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 850*v**2 + 3368*v - 23. What is r(-421)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-2 - -3)*1). Let n be (-1*(0 + 6\/24))\/(1\/(-4)). Which is the closest to k? (a) n (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14277835 is divided by 15254.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 3 + 5 - 1766*r**2 + 886*r**2 + 3 + 879*r**2. Give f(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12871566 to the nearest integer?\nAnswer: 3588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*z - 6 - 1. Let a(o) be the second derivative of 0 + 1\/14*o**4 + 1\/70*o**5 + 0*o**3 + 0*o**z + 11*o. Solve a(m) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - p - 10 = 0, -7 + 1 = 5*d - p. Let q be 2\/d - (-4 + 1). Suppose 273 = y + q*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, c: 7, e: 1, m: 4, i: 4}. What is prob of sequence eeif?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 9*v + 3. Let m be t(9). Which is the closest to -1? (a) 1\/3 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1105277 is divided by 1105275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -1\/3 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -178*s**2 + 17\/40*s**6 + 0*s + 0 - 125\/6*s**3 + 0*s**4 + 0*s**5. Differentiate b(m) wrt m.\nAnswer: 153*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -280*m - 11391*m**5 + 568*m - 288*m + (3*m**2 + 3*m**2 - 4*m**2)*(3*m**3 + m**3 - 5*m**3).\nAnswer: -11393*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + (-88)\/16)\/(2\/48). Let o(b) = -4*b + 37. Let l(a) = 9*a - 75. Let n(h) = -2*l(h) - 5*o(h). Let m be n(f). Is -59 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22096724 and 1508.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14c3 (base 14) to base 6.\nAnswer: 25043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.151 - 3.189. Let u = 0.038 + s. Put 4, 2, u, -8 in decreasing order.\nAnswer: 4, 2, u, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 157, -2, 2, 4, 3 in decreasing order.\nAnswer: 157, 4, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1059*b**3 - 5873*b**3 - 8704*b**3 - 3281*b**3.\nAnswer: -18917*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*sqrt(114) + sqrt(114))*-4)\/(sqrt(6) - sqrt(72)\/(-2*sqrt(12)) - -1*sqrt(294)).\nAnswer: -32*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97354, -97339, -97300, -97225, -97102, -96919?\nAnswer: -96664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/((-37)\/22 - (-116)\/638). Let l(q) = -6*q - 84. Determine l(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/3)\/((253\/69)\/11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1880 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -686, -4087, -9114, -15761, -24022, -33891?\nAnswer: -45362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 - 2\/(-4)*-2. Let w = -4 + a. Factor 6*l**w - 2*l**3 - l - 5*l**5 + 2*l.\nAnswer: l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34786941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r - 11*r + 21*r)*(2*r**3 + 0 + 0).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 23510*u + 1058106. Give s(-45).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 14*f + 25. Give w(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13804 divided by 13804\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**3 - h**2 - 2*h - 1. Let k be n(-1). Let z(j) = j - 7. Let g be z(0). Let o(v) = 127*v - 131. Let y be o(1). Sort k, y, g.\nAnswer: g, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2673a2 (base 11) in base 15?\nAnswer: 8457a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*o**2*w + 1094*o**2 + 17*o*w - 2*o + 3*w + 63 wrt o?\nAnswer: 74*w + 2188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 48 = -59 + 47 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - 68. Let z(v) = -2*v**2 + 5*v + 4. Let y(l) = 3*l**2 - 7*l - 6. Let u = 2 + -9. What is r*y(k) + u*z(k)?\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(700) + -3 + -3 + (-5 + sqrt(700) + -1)**2*-6).\nAnswer: -4423 + 730*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*y = 2*b + 12, -5*y = 4*b - 20. Suppose -3*p - x + 2288 = b, -4*p + 4*x + 2456 = -568. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = f, 4570*d + 42 = 4566*d + 10*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496717?\nAnswer: 13, 19, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + h**3 + h - 2*h + h + 5*h to the form c*h + b + a*h**2 + z*h**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 1\/20, -1279128?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2239 - 419 = 0. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 674304 divided by -48\nAnswer: -14048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-252)\/(-630))\/((-2)\/30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11791629 and 9.\nAnswer: 11791629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 574035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.5 (b) -0.05 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -199365 and 5.\nAnswer: -996825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 4. Let p = 39 + c. Let k = -0.22 + 0.22. Is p at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - -77. Let i = 13.2 + -13. Let z = i + -3.2. What is the closest to q in 1, -5, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 261*x**3 - 13*x**2 - 8*x - 1. Is f(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.395 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + sqrt(13) + -3*sqrt(13) + 5)**2.\nAnswer: -28*sqrt(13) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*27\/144*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhh. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-20)\/36 - -1) + (-86060)\/(-36) is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15381572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1615779?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1924 and 73\/333.\nAnswer: 17316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -70. Which is the closest to r? (a) -17\/5 (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36090 rounded to the nearest 100?\nAnswer: 36100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (-22 + 26).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 445262?\nAnswer: 445255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9392?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 62 + 21 + -37 - (3 + -1 + -11 + 3)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2889 - -3093. Which is bigger: b or 201?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1354 + 41 + (-12)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-28)*1)\/(3\/21). Suppose 0 = 3*u, 3*k + h*u = -2*u + 1839. Suppose 5*j - 1868 = -k. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4061, 8141, 12215, 16283, 20345, 24401?\n\"Answer: -3*f**2 + 4089*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**3 - 5*m**3 - 2*m**3 + (6*m - 3*m + m)*(0*m + 0*m - 2*m**2) to o*m + v*m**2 + t*m**3 + p and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 7dcf?\nAnswer: 7dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4571c (base 14) to base 11.\nAnswer: 105899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.427 to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 10:49 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -6*((sqrt(468) - (sqrt(468) - (sqrt(468) + 0))) + 2 - sqrt(468)))*-1)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1012 by 24.\nAnswer: -253\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 189 - 24 = -43 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-13)*26\/(-60)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/26 and -77\/2132.\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 1, s: 3, t: 6}. Give prob of sequence pt.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1409 + 1414. What is the fourth smallest value in -1, g, 1\/3, -0.05?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 2*l - 1. Let d be n(3). Let p be (-4)\/18 - d\/18. Suppose p = -2*j - j + 156. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 138018*u + 138005. Determine k(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2532*m - 3 - 7206*m - 3 + 5 - 768*m.\nAnswer: -10506*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 15*p - 372. Let l be b(-13). Let o(v) = v. Let n(f) = f**3 + 7*f**2 - 10*f - 7. Let h(q) = -n(q) - 4*o(q). What is h(l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4346 - -51754. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 9. Let r(c) be the second derivative of 8*c**3\/3 - c**2\/2 + 57*c + 25. Give s(r(h)).\nAnswer: -64*h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + x. Let o(k) = 2*k**2. Let h be o(-1). Determine m(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 - 3*p - 2. Let h = -270 + 273. Suppose -5*m + 17 = -h*j - 4*m, 13 = 3*j + 5*m. Let z(o) = o**2 + o + 1. Give j*z(x) - d(x).\nAnswer: -x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 237, -2, -8\/571?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 11*i**2 - 10*i + 5. Let k(h) = h**2 + 9*h - 2. Let o be k(-8). Calculate b(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 344034 + 41?\nAnswer: 344130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -8\/13 (b) 4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0 + 2*g**3 - 3*g**3 + 3 - 2*g - 5*g**2. Let b(r) = -99*r + 1975. Let m be b(20). Determine h(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -38 + 10*c - 12 + 50. Let s(r) = -9*r**2. What is n(s(j))?\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 3*m - 63. Suppose 2*a + m = 13. Solve -17 = a*z - 4*x + 6, 3*z = -x + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*h - 17*h - 4*h**2 + (4*h**2 + 2*h**2 - 4*h**2)*(1 - 5 + 3) + (3*h + 0*h - 5*h)*(-h - 1 + 1) - 2*h**2 + 4*h**2 - h**2 - 4*h**2 + h**2 + h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 6503, -22, -226?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23138 by -4.\nAnswer: -11569\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707 is divided by 156?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 50. Let a be 11 - 15 - 2\/(-2). Sort a, 0, d in ascending order.\nAnswer: a, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 17. Let q(i) = 2*i**2 + 7*i + 2. Let h be q(-5). Solve 0 = -3*s + p - 0*p - h, n = -4*s + 5*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3858 - 3855. Factor -2\/3*k**s - 4\/15 - 14\/15*k - 2\/15*k**4 - 6\/5*k**2.\nAnswer: -2*(k + 1)**3*(k + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Let v = -150 + 148. What is the nearest to v in a, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141856 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 194261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2. Let n(l) = 7*l + 6. Let x(z) = 13*z + 11. Let i(w) = -11*n(w) + 6*x(w). Determine a(i(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 + 4 - 4) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v - 6. Let q = v - 5. Find the second derivative of -y**2 - y**q + 15*y - 14*y wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -1453445?\nAnswer: -1453442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 42 = 2*m, 0 = 5*k - m - 86 + 9. Calculate the smallest common multiple of 9 and (3\/2)\/(k\/64).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286 - -553. List the prime factors of b.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233815?\nAnswer: 5, 101, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 8:26 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8268)\/1113*7\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**5 - 600*a**4 - 1165*a**3 + 1810*a**2 + 4740*a + 2360 = 0. Calculate a.\nAnswer: -118, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(17) + -3) + 4.\nAnswer: -6*sqrt(17) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v - 5. Let p(j) be the first derivative of -3*j**2\/2 + 34. What is p(w(l))?\nAnswer: 15*l + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -5. Let a = -892 - -941. Calculate the greatest common factor of a and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -15*r - 154. What is the tens digit of u(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 100237674 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 224847541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 277767 - 53764 = 0. Let i = f - -28280. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 65 = -3*n, 6*n - 8*n + 68 = 2*p. Which is smaller: 32 or p?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m - 24*m - 12*m**4 + 1 - 22*m wrt m?\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*l - 1128 + 166 = 0, 0 = -4*g + l + 1904. Suppose 5*z - 5*t + 7*t - g = 0, -4*t = 2*z - 190. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 51, 109, 223, 411?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 569.3528 rounded to the nearest ten?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5087 - 13025\/2. Let s = x + 1392. What is the common denominator of s and -73\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 4, 0.17, 1, -2?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 13*l**3 + 5*l**2 + 5. Let o(c) = c**3 + 9*c**2 + 8*c - 2. Let u be o(-8). Let x(f) = -112*f + 112*f - 6*f**3 - 2 - 2*f**2. Determine u*y(q) - 5*x(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 2 - 5 + 4 + (2 - 2 - b)*(-2 + 3 + 1) - 1 - b + 1 - 3*b + 3*b + 4*b.\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. What is the derivative of 2*c**2 - 45*c**3 + 6 - m*c**2 + 44*c**3 wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + -16 + -11 + 19).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 8 = -2*u, -4*z + 4*u - 1 = -5. Let m be z\/11 + (-1092)\/(-77). Suppose -m*d = -9*d - 40. What is the smallest common multiple of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133123003121200 + 1?\nAnswer: -133123003121133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1310 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Suppose 3*y - 117 = 3*v, 2*y + i*v - 14 - 59 = 0. Let j = -19 + y. What is the remainder when 36 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25577*b + 146891 = -134456 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -18*a + 18. Let x be v(3). Find the common denominator of (-3)\/x*366\/8 and 79\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130 (base 7) to base 15.\nAnswer: 1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18 + (-21 + -263)*-113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23\/8? (a) -3 (b) 2.4 (c) 4 (d) -1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15))**(1\/29) assuming l is positive.\nAnswer: l**(-15\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15 + (1 - 0 - 2). Calculate the common denominator of (-89)\/(-5 + 2 + 1) and (10\/72)\/(8\/u).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43787823*j**2 - 108822*j - 8.\nAnswer: 87575646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 199699 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 668 + -473. Let p = o + -2143\/11. What is the closest to 2 in p, -0.4, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67715.993 to the nearest 1000.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 252 = 2*j + 27, z + 4*j = 303. Calculate the remainder when z is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10144 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-10))\/(36\/90). What is the second derivative of -8*k**3 + 9*k**3 - 33*k**x - 26*k + 7*k wrt k?\nAnswer: -192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 - 4*x + 3. Let t(q) = -3*q**2 - 5*q + 4. Let o be (-2 + -7)*(224\/72)\/(-7). What is o*t(v) - 5*p(v)?\nAnswer: 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 14 = 161*j - 160*j, 5*j - d - 66 = 0. Is j < -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k - 6. Let h(x) = -4*x - 3. Give 9*h(l) - 4*p(l).\nAnswer: -4*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 537534*m**2 - 2*m + 6967183 wrt m?\nAnswer: 1075068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(12\/13)\/(p**(2\/23)\/((p**(5\/7)\/p)\/p*p)))**(-6) assuming p is positive.\nAnswer: p**(16272\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 74403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - 136\/(-16))*(-4951 + -3). Do -2478 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**3\/3 - 41*m**2\/2 + 115*m + 21. What is the remainder when j(-32) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1, 11*p + 59 = 2*o. Let b = 31 - 1. What is the least common multiple of b and o?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - l - 5, 2*p + 5*l + 29 = 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -76?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000002307 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 21 = -2*y, 68 - 11 = 4*y + 3*r. Let u(o) = -o**3 + 19*o**2 - 17*o - 17. Let i be u(y). Solve 4 - i = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5562707 to the power of 1\/2, to the nearest integer?\nAnswer: 2359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68020 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**3 + g**2 + g + 2. Let a be x(2). Let r be (-99)\/a*2\/3. Sort -0.5, r, 0.1.\nAnswer: r, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 3*b + 44. Let c(f) = -2*f**2 + 2*f - 44. Give -5*c(v) - 4*i(v).\nAnswer: -2*v**2 + 2*v + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-4))\/(8\/(-12))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (-15 - (-2 + -15)) - 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72494252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1060.0474.\nAnswer: -1066.0474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 4)*((10 - 21 - 4)*(-n + 3*n - 4*n) + n - 6*n + 3*n) to the form f*n + z and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-255) + (-38)\/(-40) + 0.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304807450?\nAnswer: 2, 5, 17, 358597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-10))\/((-12)\/100)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66111426 is divided by 13222282.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 6*c**2 + 4*c - 3. Let j be -8 + -3 + 5 - -1. Calculate the remainder when 3 is divided by f(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3993 - 3974. Calculate the remainder when 2372 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002867738 to 6 decimal places.\nAnswer: 0.002868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 2*l - l - 5*l + 2*l + 4*l + (1 + 0 + 0)*(-3*l + 0*l + 4*l) - 4*l + 3*l + 2*l + 6*l + 2*l + l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 2*c**2 - 4*c**2. Let f(d) be the second derivative of 1\/6*d**3 + 7*d + 0*d**2 + 0. Determine t(f(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*f**3 - 2655405*f**2 + 9294060*f + 5310880 = 0. What is f?\nAnswer: -265544, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Let w(p) = 5*p. Let n(k) = k. Let d = 84 + -75. Suppose 0*s = d*s - 9. Let v(h) = s*w(h) - 6*n(h). Give v(c(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d + 78. Calculate the highest common divisor of 26 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Let v(a) be the third derivative of a**4\/12 - 19*a**2. Let y(f) be the third derivative of f**5\/30 - 6*f**2. Give y(v(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 2. Let r = 8 + i. Solve -u + r*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22131000 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by 55.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15 - 138\/(-12) - 15\/(-3). What is the closest to -2 in g, -0.4, -397?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 7*h**2 + 7*h - 7. Let r be f(-8). Let l be (2\/(-4))\/(r\/(-8)). Let t(a) = 2*a - 2. What is the least common multiple of t(l) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -29. Let u(n) = -n - 12. Let s be u(j). Let t be 0\/(-6)*(-3 - -2). Solve -4*q - 18 = -f, t = -2*q + 2*f - 2 - s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 100? (a) 0.2 (b) -0.2 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 116?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 8400?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 7 - 4\/(-2). Let r(k) = -k. Let h = 10 - 12. Let l be r(h). Solve 4*w - 16 = -l*p, -5*p = -g*w + 4*w - 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-7)\/h*h)*h\/((((h\/h**(-3\/7)*h)\/h)\/h)\/h)*h)**(-8\/15) assuming h is positive.\nAnswer: h**(-592\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -604892 or -604891?\nAnswer: -604891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*u = -249*u + 1074*u - 244*u - 13800 for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*v**2 - 11*v**2 - 2*v**2 + 8*v**2 as d*v**2 + i + o*v and give d.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -37 (b) -11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*w + 2. Let z = 25095 + -25104. Which is the biggest value? (a) w (b) 4\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 2*y - 4, -y - 18 = -3*r - 21 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78954 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 4*z**2 + 6*z + 1. Calculate b(-5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 + 4225\/1014 - (-40)\/(-5)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -95525, 2 in descending order.\nAnswer: 2, -1, -95525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3942369um?\nAnswer: 0.0000003942369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {f: 2, d: 3, o: 2, g: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + 6 + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -14. Let b(f) = f**2 - 5*f. Let z be b(i). Let x(c) = -c**3 - 3*c**2 + c - 3. What are the prime factors of x(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 48, 78, 108, 138?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 2*x + 1. Let u = 23 + -20. Let p be r(u). Let f = -98\/5 - -20. Which is the third smallest value? (a) p (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 3*i. Let y(o) = o**2 - o. What is 4*u(f) + 7*y(f)?\nAnswer: -f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1229, -277\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 - 3213*b**2 + 28305*b.\nAnswer: -6*b - 6426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -52924*x + 164. Let j be i(-14). Round j to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 5, 13 in decreasing order.\nAnswer: 13, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*469071.\nAnswer: 14541201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -17976668 to the nearest ten thousand.\nAnswer: -17980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9 - -3.74. Let w = -2.84 + l. Put 3\/4, -10, w in ascending order.\nAnswer: -10, w, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 3) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -617485 and -617481 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 247914642 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 10*t**2 + 3*t - 2. Does 8 divide z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7972 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c. Let d(t) be the second derivative of t**6\/360 + t**3\/2 + 4*t. Let u(i) be the second derivative of d(i). Calculate n(u(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -17*t**3 + t**2 - 4*t. Let y(h) = h**3 + h**2 - h. Let z(r) = s(r) - 3*y(r). Determine z(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 1, b: 5, k: 2, f: 3, i: 3}. Give prob of sequence pib.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Let i = 151\/63 + -19\/9. Let f = -972 - -977. Put i, f, a in descending order.\nAnswer: f, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 11*g = -5*d - 31602, 5*g + 2*d = 52639. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.1 (b) 0.4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 33681\/108)*-5686. Let t = -1764556 + x. Let w = t + 8375. Find the common denominator of -23\/12 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(144) - (sqrt(144) - (sqrt(144) - sqrt(144)*2)) - sqrt(144)) + sqrt(144))*2 - sqrt(144))*4)\/(-2*sqrt(2)*-3 - sqrt(8)*2).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 413c05 (base 13) in base 16?\nAnswer: 173ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4301 = -a + 3*u, 0 = 4*a + 2*u - 3511 - 13693. Is 50 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 6)*(-2 + 0 + 3) - 3 + 1 + 0 + (3 + 1 - 2)*(-1 - 4 - 2))*(3 - 3 + a).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.767 rounded to 1 decimal place?\nAnswer: -23.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**2 + 650756*a = 0.\nAnswer: 0, 325378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -808*y**5 - 2*y**4 + 466*y**2 + 2.\nAnswer: -48480*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212563 is divided by 328?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(2)) + (sqrt(4) + sqrt(8)\/sqrt(2))\/sqrt(2) - sqrt(22)\/((4*sqrt(275) - sqrt(11)) + sqrt(11)))*6.\nAnswer: 36 + 297*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isss when four letters picked without replacement from ffsfxfxxsxfsfxsi?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/163904 and -63\/394.\nAnswer: 163904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/2)\/((-4)\/(-192)). What is the common denominator of 145\/6 and (130\/u)\/(122\/6)?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 490 and 19379990?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.779515 to one decimal place.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:45 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, -0.1, -1, -0.65 in descending order.\nAnswer: -0.1, -0.2, -0.65, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/56 - -2) + (-4 - (-11883)\/476)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(-2\/5))*a*a*a**2*a)\/a**29)**(-30))**(-6\/7) assuming a is positive.\nAnswer: a**(-4248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -135, -158?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (281189 - 281189 + 2666*m**2)*(0*m**2 - 2*m**2 + m**2).\nAnswer: -2666*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*c - 46*c + 2496 + 4632 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**2 - 30*a**2 + 20*a**2.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r + 3*i + 87, 13*r + 2*i = 12*r - 43 - 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:25 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ad (base 14) to base 5\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 + 18*i**2 - 6*i**3 - 18*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/27)\/(4\/(-30)) + 11. Solve m = h*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(637) - ((-1*-1*sqrt(637))**2 + sqrt(637))) + ((1 + sqrt(637))*-3)**2 - (((sqrt(637) - (0 + sqrt(637))) + 1)**2 + 0 + sqrt(637) + 4)).\nAnswer: 119*sqrt(13) + 5096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 15. Solve p - m = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 66 (c) 5 (d) 2\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648859 is divided by 2163.\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 351304434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17163458 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -13*x**2 + 29*x + 15. Let w be b(-6). Suppose -4*u - 161 = -5*l, -4*u + w = 5*l + 56. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212 + 802. Let x(g) = -19*g**2 + d + 1025 - 2039. Let o(n) = -n**2 - 7*n - 7. Let b(a) = a**2 + 6*a + 6. Let z(u) = 7*b(u) + 6*o(u). What is z(x(s))?\nAnswer: 361*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v - 41*v - 22 - v**2 + 14*v + 17*v to j*v + c*v**2 + y and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1318*a**5 + 404*a?\nAnswer: 26360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -193, -0.14, -17?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-20) + -2 + (-23)\/4. Let d(b) = -3*b**4 + 12*b**3 + 3*b**2 - 6. Let o(z) = z**4 - z**3 + 1. Let u(s) = q*o(s) - d(s). Factor u(p).\nAnswer: -3*p**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(98) + sqrt(98)*1)**2 + -2.\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1950 = -c - 4*v, -c + v - 2558 = -583. Let a be (2\/c)\/((-126)\/140). Is -1 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 - 75 = 5*y. Suppose 5*r + y = r - z, -z = -4*r - 62. Let i = r + 54. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8146875 and 224202?\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3166301 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, 1 d, and 1 g when four letters picked without replacement from gdazgzxgsxgxgsgxd?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**4 - 54*w**2 - 60*w**2 + 3*w - 58*w**2 + 228*w**2 - 1 - 59*w**2 to k*w**2 + b + g*w**3 + m*w + j*w**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**2 - 2*j - 16*j**2 + 0*j - 157 - 10*j**2.\nAnswer: -59*j**2 - 2*j - 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6470 and 31195105.\nAnswer: 3235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 3693472?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147\/23 + -5\/46. Find the common denominator of o and 3\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 - 4.15445\nAnswer: -4.00445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 11:53 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 3*f + 7. Suppose -6*t + 103 + 11 = 0. Let g = -12 + t. List the prime factors of y(g).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3703763793, -3703763794, -3703763795, -3703763796, -3703763797?\nAnswer: -3703763798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -20) + -6 + 10 + -13 + 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/12 - a**3\/2 - 2*a**2 - 27*a. What is z(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 38 = 43. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121306399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4650137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.6 - 31. Let m(s) = s**3 + 3*s**2 + s. Let w be m(-2). Suppose q + w = 4. Which is the nearest to q? (a) -2\/3 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 735*r**2 + 4*r + 9. Let t(j) = -3*j**2 + j + 2. Give g(x) - 4*t(x).\nAnswer: 747*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/52954 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550 not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7)*(-1232)\/9328?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560*k**2 + 1126*k**2 + 38421*k**3 - 566*k**2.\nAnswer: 38421*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o + 5*o)*(-2*o + 2*o - 2*o) - 3*o**2 + 6*o - 6*o + (1 - 1 - o)*(5*o - 4*o + 2*o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1 + (3 - 3 - 1)*(-3 - 2 + 3))*(0*s + 0*s - 7*s).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 675922967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021405 rounded to five decimal places?\nAnswer: 0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3 less than 2952885?\nAnswer: 2952892.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 - 2*f**3 + 0*f**3 + (-1 + 3 - 4)*(f**3 + f**2 - f**2) - f**3 + f**3 + f**3 - 2*f + 2*f + 3*f**3 as l*f**3 + m*f + j + t*f**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 10 (c) 5 (d) 15769 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {a: 9, q: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4 - 3453*s**3 - 130899*s**2 - 1152255*s + 1286604 = 0?\nAnswer: -19, 1, 1188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21249)\/28332)\/((-1)\/148)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 101010101010100001?\nAnswer: 101010101010100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/4 (c) -157 (d) 5 (e) 8\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f + 1. Let y(s) = 446*s + 13311. Give d(y(w)).\nAnswer: 4014*w + 119800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/5*427\/122*13\/(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -9*f + 2, -2*f - 5*r = -60 + 39 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuuu. Give prob of sequence un.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2, -4, 0 in decreasing order.\nAnswer: 2, 0, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, v: 1, e: 1, p: 6, l: 1}. Give prob of picking 1 l, 1 e, and 2 x.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.177 in 4, -0.2, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 584 and 170924536.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/30)\/(45\/60)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2\/2 - 177*m + 10443\/2 = 0.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13448 and 5043?\nAnswer: 40344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 3 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 57. Let z(f) be the first derivative of -1\/2*f**u + 3 - f**2 - 4\/3*f**3 + 0*f. Suppose z(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmemmxb. What is prob of sequence me?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 26*o**2 + 28*o + 40. Calculate v(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13829 + 6739. What is t rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let k(p) = 12511888*p + 3. Calculate r(k(n)).\nAnswer: -12511888*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 983.8984kg?\nAnswer: 983898.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 2 - 2*m - 6*m + 8*m.\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g. Let x(l) be the first derivative of -5*l**2 - 24. Calculate c(x(f)).\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + x + 2. Let z(d) = 59*d - 4. Give -2*n(b) - z(b).\nAnswer: -2*b**2 - 61*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.1 + -41.099982802. Round u to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 2. Let a = 23 - 22. Let x be (0 + 18\/(-3))*a\/(-2). Let v be s(x). Which is greater: v or -9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*v**2 + 56*v - 114*v + 56*v in the form c*v + o*v**2 + u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 p when four letters picked without replacement from prrprpr.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2008 and 0.009.\nAnswer: -2007.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5326*n**3 + 312509*n**2 - 625016*n**2 + 312507*n**2 + 5327*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 + 5*f**2 - 5*f. Let q be g(3). Suppose -7*p + 937 = q. Let r(s) = 7*s - p + 113 - 6*s. Calculate r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1357 + 570?\nAnswer: -bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - y + 1. Let o be n(0). Solve -q = 3 - o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 4. Let j be t(3). Let s = -3 + j. Factor -6*v**2 - v**s + 4*v**2 + 3*v**4.\nAnswer: 2*v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.75 - -3.95. What is the third biggest value in -1\/2, q, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55016209?\nAnswer: 3361, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2. Let b(d) = 0*d**2 + 3*d**2 - 3*d**2 + 8*d**2 - 13 - 5*d**2. What is i(b(r))?\nAnswer: 18*r**4 - 156*r**2 + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 49*t**2 - 3*t - 145. Let a be -48 - ((-6)\/1)\/(-6). Suppose -4*s = s - 125. What is the least common multiple of x(a) and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 662 and 14?\nAnswer: 4634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) 0.2 (b) 5 (c) 3\/5 (d) 440\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*c - 21*c - 19*c - 26*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128 + 638\/5. Let r = -0.4 + 0.7. What is the nearest to f in r, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 518295602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3009.6 - 2694. Let k = a + -341. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/(p\/(p\/p**(-4))))\/((p\/(p\/(p\/p**(-5))*p))\/((p\/p**7)\/p)) assuming p is positive.\nAnswer: p**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 47056070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 5*i + 1. Let c be u(-1). Let n(t) be the third derivative of -t**6\/120 - t**5\/15 - t**4\/12 + t**3\/6 - 2*t**2 - 12. Give n(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4530000 to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -477, 2, -47900 in ascending order.\nAnswer: -47900, -477, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110200002120 + 110?\nAnswer: -110200002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0028, 2, 1558, -1 in ascending order.\nAnswer: -1, 0.0028, 2, 1558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3.8 (b) 1 (c) -1 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0244506303 rounded to six decimal places?\nAnswer: -0.024451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + -36 - (-7 + 5 - 2)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735 <= 767\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -14) + (-285)\/25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/5 + 321*a**2\/5 + 1617*a - 5445.\nAnswer: 3*(a - 3)*(a + 55)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 11. Let t be r(-6). Find the second derivative of 17 + s - 7*s**4 + 7*s**4 - t*s**4 - 5*s**4 wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (76\/34 - 2)\/2. Let q = -3309493\/20450 + 2\/30675. Let h = q + 162. What is the nearest to 1 in t, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 25499 - 100551. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -80, 5 in descending order.\nAnswer: 5, -53, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0769803 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 10*i**2 + 13*i - 22. Let o be h(9). Suppose 2 = k - o. What is the remainder when 61 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/z**(-13))**(-42) assuming z is positive.\nAnswer: z**(-714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-96)*(-1 - 14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1567 + 1562. Let d(h) = -h**2 + 3*h - 1. Let l(o) = o**2 - 4*o + 2. Let z(p) = -7*d(p) - 6*l(p). Determine z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -793\/102 - -355\/34. Determine r so that 0 + 32\/9*r**3 + n*r**2 + 0*r + 2\/3*r**4 - 2\/9*r**5 = 0.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 4*j. Let n(w) = w**3 - 9*w**2 - 11*w + 14. Let p be n(10). Suppose 5*k = 11 + p. Suppose k*o - 3 = 9. Give x(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or 10\/3?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 232 - 3509 = 4*l, -4*l = -20. Let m = j - -2307. List the prime factors of m.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 138991 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*n - 111*n + 23 = 3*k + 10, 2*k - 2*n - 2 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*(-4)\/(704\/200)*320\/600?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40940 is divided by 88.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.62205ng in grams?\nAnswer: 0.00000003962205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3988.0327 to zero decimal places.\nAnswer: 3988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 1. Let z(a) = 4*a**2 + 3. Let x = -91 - 740. Let v = 826 + x. Calculate v*o(h) + z(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r**2 + 7*r + 3. Let p(n) = -5*n**2 + 4*n + 2. Suppose 3*v - 6*v = -12. Let a(c) = v*l(c) - 7*p(c). What is the derivative of a(d) wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 times 0.032?\nAnswer: 0.00768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 3:46 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Suppose w + 3 = 0, h*w + 537 = -2*q - w. What is the least common multiple of 6\/(-39) - q\/26 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1804\/(-572) - (-6)\/39.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*a*q**3*z - 94*a*q**3 - 91*a*q**2 + 15475887*a*z + 4200*a wrt z.\nAnswer: -21*a*q**3 + 15475887*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -19*l - 57. List the prime factors of j(-10).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 4*b - 16, -6 - 15 = -3*o - 5*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264 or -279?\nAnswer: -279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.5242 decades in years?\nAnswer: 6275.242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29174 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n**4 - 1)*(12*n - 2*n + 2*n).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 2494?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2819, 2820, 2821, 2822, 2823, 2824?\nAnswer: 2825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v. Let k(m) = -31*m + 848. Give i(k(h)).\nAnswer: 186*h - 5088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, z: 1, q: 2, f: 3}. Give prob of picking 1 z, 1 f, and 1 q.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*v - 5*h, -2 = -3*h + 1. Calculate the lowest common multiple of v and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 2*f**2 - f - 2. Let v be x(3). What is the remainder when 4 is divided by (-4)\/(-6) - v\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -y + 2*y. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 4*b**2 + 4*b + 7. Let d be z(5). Let q = d + 2. Calculate the highest common divisor of q and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106411 - 114636?\nAnswer: -5225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 10. Let i(l) = 1660*l - 902. Let j(o) = 2*i(o) - 4*y(o). Differentiate j(c) wrt c.\nAnswer: 3312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50076 divided by -2?\nAnswer: 25038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (42 - (-89962)\/(-2139))*(-30)\/(-80)\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + 0)**2*5.\nAnswer: 2125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**4 + 2*z**3 + 2*z**2 + 3. Let i(d) = -18*d**4 + 5*d**3 + 5*d**2 + 7. Let p(h) = 5*b(h) - 2*i(h). Differentiate p(c) with respect to c.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4303338252 to the nearest integer?\nAnswer: 1627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6709 by 9.\nAnswer: -6709\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-3)*(-4 + (4 - 1)). Suppose 0 = w*o - 4*l - 338, 0*l = -3*o - l + 535. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 10 = -2*t, w + 4 = -t + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + q + 60. Suppose 3*m = -m + q. Suppose -18 = s - 0*s - 4*t, 5*s = m*t - 5. Solve 2*l = 3*i + s*i + 9, -4*l - 3 = -3*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/18 and -155\/39522.\nAnswer: 118566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {p: 2, l: 4, j: 1, v: 3, w: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 145*k**2 - 2*k + 3. What is the hundreds digit of a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, -1\/6, 2\/29, -1, 3\/4 in descending order.\nAnswer: 3, 3\/4, 0.3, 2\/29, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 17 (b) 0.4 (c) 3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 33. Suppose -v - 3*v = -j. Suppose -v*z + 4*z + 24 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -435 + 436. What is the thousands digit of 1427 + 2 - w*(4 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 - 2*d**3 + 2*d**3 + (d**3 - d**3 + 4*d**3)*(9 - 2 - 3) in the form s + x*d**3 + m*d + n*d**2 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10292873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 7, -174, -4, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5617 is divided by 717.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 301*h - 305*h + 25949, 0 = -5*t + 15. What are the prime factors of h?\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -636, -928, -1198, -1446?\nAnswer: -1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488943407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.34 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (1 - 4 - -35). Suppose -f = -k - 0*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2. Let q(g) = -10*g**2 + 50. What is q(w(c))?\nAnswer: -90*c**4 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + o + 4. Let p be d(-3). Does 17 divide (96\/p)\/(5\/25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**3 + 37*g**2 - 10*g - 296. What is f(10)?\nAnswer: -1696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z)**(-13\/7)*(z*z**(-17))\/(((z\/(z\/((z*(z\/(z\/(z\/(z**1\/z))))\/z)\/z)))\/z)\/z) assuming z is positive.\nAnswer: z**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44166*(-5 + (-465)\/(-90))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30609 (base 12) to base 6\nAnswer: -1204013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lalaaaaall. What is prob of sequence aa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {a: 3, f: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ereereeerereeere. Give prob of sequence reer.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/7)\/3*(208\/(-182))\/(4\/(-14))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 562 + 526105?\nAnswer: 530000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 - 5. Let c = -2.1018 - q. What is c rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 7 = h, 5*h + 5*m - 4*m - 22 = 0. Solve 0 = -3*n + h*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/9)\/o**(5\/8)*(o**26\/o)\/o**28)**42 assuming o is positive.\nAnswer: o**(-1771\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/10 - (-2)\/(-5))*-2. Suppose -3*x - l = -14. Suppose 4*b = 2*r + 2*b - 230, 3*b + x = 0. List the prime factors of r.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1011 + 1459. Suppose -443*j - 25 = -g*j. Solve 2*n + 5*u = -25, 2*n - n - j*u = 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 563 + -1065\/2. Let v = 549 - 3253\/6. What is the common denominator of v and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 188 = 5*c - 4*q, c - 34 = -q. Suppose 4*w - 4*x + c = 0, -2*w - 2*x = -6*x + 16. Let u(s) = -s + 5. What are the prime factors of u(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b4 + 0?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b - b)*(-6 + 2 + 2) + 33*b - 2*b - 11 - 18*b.\nAnswer: 7*b - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4744.728 to the nearest ten.\nAnswer: -4740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15283 - 10339. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**6\/10 + 153*r**5\/20 + 156*r**4 - 338*r**3 - 21*r - 183. Let k(v) be the first derivative of o(v). Factor k(b).\nAnswer: 3*b*(b - 1)*(b + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzzqzhzzzzzzhv. Give prob of picking 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 4:33 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.4 (c) -1 (d) 0.07 (e) -0.3 (f) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*i + 42, -3*w = i + 2*w + 18. Let r = 8 + i. Suppose -4*t - 12 = -3*k, 5*t + r + 9 = 3*k. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let a(b) = -3*b**2 + 5*b. Let c = -41 + 45. Suppose 4*t + 5*v - 14 = -38, c*v + 16 = 0. Determine t*a(l) + 5*y(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 2967*r**4 + 2996*r**4 - 7 - r**3 as v*r**3 + h + d*r**4 + n*r + z*r**2 and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(33 + (-1800)\/(-72)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -5, 1, 24514?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20447603 is divided by 2122?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 194653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9855 (base 10) to base 3\nAnswer: -111112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*c + 16, -290 = -2*g - 2*c - 300 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(3*s - 3*s + 4*s) + 0*s - 4*s + 3*s - 1 + 1 + s + s - 2*s - s + (3*s - 7*s + 2*s)*(2 + 1 - 1) - 4 + 3*s + 4 - 2*s + 1 - 1.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -2\/13, 92, 32.\nAnswer: -2\/13, 1, 2, 32, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 1174. Let o be q(0). Suppose 0 = -0*p - 2*p + o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 13) to base 3.\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 813*j**2 + 7*j + 3. Is t(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**6))**26 assuming x is positive.\nAnswer: x**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7940 and 96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179491955 or -3?\nAnswer: 179491955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 34ab14 (base 13) to base 10\nAnswer: 1251969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -55011952.8.\nAnswer: -55011952.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d. Let n(g) = -21*g - 14. What is z(n(s))?\nAnswer: 42*s + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.33 - -0.7. Let d = -4.63 - o. Let n = 85\/14 + -60\/7. Put d, -6, n in decreasing order.\nAnswer: n, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1693598 centimeters to kilometers.\nAnswer: 0.000001693598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-112)\/16 + 2 + 9. Solve 4*k = 4*j + 2*k + 6, -3*k - 11 = d*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(3168)*-1)\/((sqrt(196)*1)\/(sqrt(6)\/(1*sqrt(3)))).\nAnswer: 120*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 0*z + 2*z)*(-z**2 + 2*z**2 - 3*z**2 + (26*z - 8*z + 23*z)*(18*z + 11*z - 26*z))*(1 + 1 - 3) to the form x*z**3 + v + w*z**2 + s*z and give x.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r**7)\/(r\/(r*r*r\/(r*r*r**(-2\/7)*r)))**(-3) assuming r is positive.\nAnswer: r**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 480, -122.\nAnswer: -122, -3, 3, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -14758*x**3 + 470*x**2 - 470*x + 470. Let u(y) = 94*y**3 - 3*y**2 + 3*y - 3. What is -3*g(l) - 470*u(l)?\nAnswer: 94*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/8 (b) -3\/5 (c) 3\/7 (d) -0.083211932\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 46*x + 36*x - 40 = 87*x, 9*g - 4*x - 32 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 11*d = 1746. Let c = 2926 - d. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -132*v + 1. Let c = -28 + 25. Is g(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645\/((12\/(-456))\/(4\/(-8))).\nAnswer: 5, 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let n(d) = 4*d**2 - d + 4. Let j(x) = -x**2 + x - 1. Calculate g*n(a) + 3*j(a).\nAnswer: a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 8*o + 120 = 0. Suppose -5*m + 3*u - 4 = -17, 17 = o*m - 2*u. Solve -2*j - m*v + 5 - 2 = 0, 4*j = -3*v + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-624)\/15)\/(-4) - (-2)\/2 and -24\/325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 61*k**2 + 1. Let n be b(1). Let z = 29 + n. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 228. Let t(h) = 7*h**2 - h - 3. Let o be t(-3). Let y = j + o. What is y rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1217 - -1712. Is j a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 3*l - 5. Let k be w(5). Suppose -h - c = 8, 3 = k*h - 5*c - 7. Is (-110)\/h - 3\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3431962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 6:50 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 5, o: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 5*w**2 - 1. Let z be h(5). Let f be (2336\/(-4) + 3)*z. Suppose -2*y - 43 + f = 0. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 212, 241, 316, 461, 700, 1057?\n\"Answer: 4*h**3 - h**2 + 4*h + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1327, 1403, 1477, 1549, 1619, 1687, 1753?\n\"Answer: -y**2 + 79*y + 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/9 - 766*u**2\/9 - 508*u\/3 = 0. What is u?\nAnswer: -381, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987 is divided by (-42)\/8*(-32)\/6?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36583 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 98946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 + -51. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13884213 rounded to the nearest one hundred thousand?\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8377 by -579.\nAnswer: -8377\/579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) -1\/7 (c) 0.3 (d) -0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19544, -19535, -19538, -19559, -19604, -19679, -19790?\nAnswer: -19943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -44*l**2 + 1197*l - 6. Let j(i) = 9*i**2 + 1. Give 5*j(x) + q(x).\nAnswer: x**2 + 1197*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54769 - 46805 = -11*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/(912\/(-190)*20\/(-54))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 10*d**2 - 13*d + 22. Let k be a(11). Let o(j) be the third derivative of 1\/2*j**4 - 2*j**2 + k + 0*j - 3*j**3 - 1\/30*j**5. Factor o(f).\nAnswer: -2*(f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 8*f - 8. Calculate the remainder when 64 is divided by j(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**3\/6 + 44*k**2 - 2*k. Let t be m(0). Suppose 2*a + 16 = -4*i + 86, -5*i - 2*a + t = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 2258886?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 1\/146, 4, 5, 0.4, 1.5 in increasing order.\nAnswer: 1\/146, 0.12, 0.4, 1.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {u: 4, r: 5, z: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**3 + 13*r**2 - 15*r + 3. Let w = -457 - -450. Let z(x) = 8*x**3 - 17*x**2 + 16*x - 2. Let v(i) = w*m(i) - 6*z(i). What is v(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2261.81 - -2261.8. What is the fourth biggest value in w, -0.21, 1\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 25 = 0, 4*o = 2*l + 40 + 46. Suppose 0 = -4*n + 5*q + 2 - o, -4*n - q = 35. Is (19 - n) + 1 + 2 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -5*z**2\/2 - 11*z + 3. Let c be i(4). Let g = 43 + c. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2883145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406492 is divided by 238.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - 101*q**2 - 32*q - 139. Is x(51) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -75, -76, -69, -48, -7, 60?\n\"Answer: i**3 - 2*i**2 - 2*i - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22010212221 (base 3) in base 14?\nAnswer: -425bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57737917078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403826 + 403702 = 4*b, 4*q = -5*b - 139 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a0 - 14?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5302.\nAnswer: 2, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 1, e: 1, b: 1, l: 2}. What is prob of sequence eji?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 174, 381, 668?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:26 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 382*x + 82. Let q(h) = -191*h - 41. Suppose 4*y + 3*j + 40 = 0, -4*y + 2*j + 3 - 23 = 0. Let i(t) = y*q(t) - 3*p(t). Differentiate i(d) wrt d.\nAnswer: 191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 200 (b) -0.6 (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -657 by -9.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9781 - 9596. Solve 8*r = -i + 217 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/(4 + 5 + 432\/(-40)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a7 - 3?\nAnswer: 1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/82 and -99\/14.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 - 4*j - 2. What is q(-4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -7. Let o be 4\/38 + (-967)\/(-19). Suppose -5*b = -o + p. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/((10 - 92\/8)\/((-3)\/(-25))).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 4:52 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in decades?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -30. Let d = -8 + k. Find the second derivative of 4*c - d*c + c + 5*c + 4*c**5 wrt c.\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 = -5*m, 3*b - 6*m + m + 10 = 0. Sort 2, 5, b, 22 in decreasing order.\nAnswer: 22, 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, b: 2, x: 1, n: 1, t: 1, m: 1}. What is prob of sequence gxnb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 100\/9 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 4 - (44\/8 + -12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 3*m**4 + m**4 + (3*m**2 - m**3 - 3*m**2)*(3*m - 3*m - 2*m) + 2*m**4 + 7*m**4 + 8*m**4.\nAnswer: 21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*k - 41*k - 66 = -134*k. Factor 87\/8*r**3 - 2187\/4 - 891\/8*r**k + 3645\/8*r - 3\/8*r**4.\nAnswer: -3*(r - 9)**3*(r - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (sqrt(847) - (0 + sqrt(847))) + 5 + (sqrt(847) - 2*sqrt(847)) + 3)*2)**2.\nAnswer: -8448*sqrt(7) + 56512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k - 4*y - 6, -3*k + 5*y + 16 = 0. What is the third derivative of -o - o - 77*o**6 + 54*o**k - 4*o**2 wrt o?\nAnswer: -9240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*(-9)\/84.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74? (a) -0.7 (b) -3 (c) 2\/3 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-9) + (-120)\/9. Let h be (1 + 4\/(-3))*-57. Let t = h + i. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((0 - 157) + 3)*(-10)\/4.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1737 by 1.\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m + 3*m - 3*m - 4 - 2*m**2 + m**2. Let k be g(4). Suppose k*d - 16 - 4 = 5*f, 20 = f + 4*d. Solve -5*a = -f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103154610 times 5?\nAnswer: 515773050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 788267*t**2 + 3258831 wrt t.\nAnswer: 1576534*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 3199.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 2\/3*c**3 - 1\/6*c**4 + 0 - 3*c**2 - 3*c + 1\/4*c**5. Let j(q) = 9*q**3 - 4*q**2 + 7*q - 11. Calculate -4*j(s) + 7*k(s).\nAnswer: -s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105569702 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 9. Determine o(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1. Let q(b) = -2*b**3 + 63*b**2 + 4. Determine q(i) - 4*r(i).\nAnswer: -2*i**3 + 63*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 2*m**2 + 1. Let x be r(-2). Let q(p) = p**3 - p**2 + p. Let l(v) = 5*v**3 - 7*v**2 + 6*v. Let u(t) = x*l(t) - 6*q(t). Factor u(o).\nAnswer: -o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) -0.005 (c) -5 (d) 132 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142400.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15307652, -15307688, -15307754, -15307856, -15308000, -15308192, -15308438, -15308744?\nAnswer: -15309116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27823738 is divided by 434?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18*22.\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 - 2*w. Let t(h) be the first derivative of h - 7. Let u(r) = -r**2 + 11*r + 12. Let z(k) = 2*t(k) + u(k). Let o be z(12). What is a(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*n - 8142018 - 2228619, 3*n + 4148257 = 2*w. Let z = -58087133\/28 + w. Let g = -1683\/4 - z. Calculate the common denominator of g and 73\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6229110*g**4 - 1766889*g wrt g.\nAnswer: -74749320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18590057415 + 8925\nAnswer: -18590048490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 78049*k - 1. Let z(t) = -6*t**2. Give h(z(q)).\nAnswer: 72*q**4 + 468294*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -344, 95, -1157 in descending order.\nAnswer: 95, -344, -1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13290, -26714, -40138, -53562, -66986, -80410?\nAnswer: -93834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by 235.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 54.9 and 0.07.\nAnswer: 54.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.29 - -1.69. Let x = -39 - -39.556. Let u = s - x. Round u to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - (-90)\/20)*0. Suppose i = -14*x + 2273 + 233. What are the prime factors of x?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) -0.779 (b) 3\/5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87625193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36158268 and 9204?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21464643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -2*m + 2*h - 40, 0 = -4*m + 3*h - 80. Let x = 25 + m. Solve x*i - 4*q = 29, i - 11 + 2 = 4*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -942*h**4 + 3390*h**4 - 3*h + 1708 - 1090*h**4 - 1038*h**4 wrt h?\nAnswer: 1280*h**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 211121?\nAnswer: 211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*j - 76 = 0. Let x = j - 53. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2413084630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 11) + (-11 + -12 - -16).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8715 and 10.822.\nAnswer: 94313.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 12*r**2 - 16*r**2 + r**3 + 7 + 8*r. Determine u(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhzyyrrnrr. What is prob of sequence znh?\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 6*r**2 - r + 7. Determine s(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 22*j**3 + 5*j**2 - 3*j + 2. Let f be u(3). Suppose -4*l = 20, 683 + f = 5*a + 2*l. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50568414 - -0.285026.\nAnswer: -50568413.714974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -4. Suppose u = 2*x + 8, -3*u + k*x = -5 - 13. Factor -3*p**2 + 3*p - 2*p + 2*p**u - 3*p.\nAnswer: -p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 21 = -6. Suppose -2*i + 4 = -c, x*i + 2*c = -2*c + 6. Solve -6 = -i*v - 3*b - b, v = -b + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-1 + 3 - 1)*(2*t - 4*t - 2*t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 125 = 3*r - l, -7 = -115*r + 3*l - 2782 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 1)*(-8)\/(-3). Suppose -3 = l - c. What is the lowest common multiple of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 194 = -26. Calculate the remainder when 5*51\/935 + (-10782)\/(-33) is divided by v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260.8 minus 4064.00499?\nAnswer: -4324.80499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + j + 30 = 0, 52 = 5*l - 5*j + 4*j. Let t = 6 - 3. Solve -t*w + l = -4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 4, 5\/3 in increasing order.\nAnswer: 0.1, 5\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 15, 2, 4, 3.\nAnswer: -3, -2, 2, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-330)*10)\/((-4)\/(-15))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u + 7. Let v(m) = -m**2 + 6*m - 4. Let b be v(3). Is s(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in -0.4, 0.1, 85?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) -5 (c) 3\/22520\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1629, 1616, 1587, 1536, 1457, 1344, 1191, 992?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 3. Let v(g) = 2*g + 2. Let f(x) = x + 1. Let s(z) = -3*f(z) + v(z). Let k(b) = b**2 - 4*b + 1. Let h be k(4). Give h*m(t) + 3*s(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 3 + 4 - 2 + 5*p. Let f(x) = 33*x - 120. Let a(i) = -2*i + 7. Let y(n) = -17*a(n) - f(n). Calculate -6*y(v) + z(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29\/58*(-2 + 4291 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 4*d - 5. Let l be o(-6). Suppose l = 5*r - 3. Let q = 0.018 - -0.082. Which is the closest to q? (a) 2\/21 (b) -1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7. Let j(u) = 3*u - 1 + u**2 - u**3 - 1 + k*u**2 + u**2. Let i = 3 - 1. What is j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0 - (48 + -57) - 7) + -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.0026?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 921, -1\/7, 0.035, -1\/3, 2\/9, 3?\nAnswer: 921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-6 - (4 - 0)) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 8*v + 13. Let o be t(9). Suppose o*r = 5*p - 222 - 83, 122 = 2*p - r. Suppose -s - p = -348. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -6d6?\nAnswer: -6d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-9) + 1375820\/(-4500). Let z = -306 - r. Which is the second biggest value? (a) 4 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 285*b - 240*b + 137*b - 6370 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -10. Let p = f - -6. Let v = -6 - p. Which is the biggest value? (a) v (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from xylwf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -47*o + 2594. Let b be a(22). Calculate the highest common divisor of 416 and b.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.958 - 0.042. Let v = -17.00031 - w. Round v to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5386.757 millilitres in litres?\nAnswer: 5.386757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -75*a + 14. Let l(s) = 8*s + 2. Let n(d) = -g(d) - 9*l(d). What is n(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40026\/(-953) - (-1 - 23).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -8 - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -108\/5, -1, -3, 0.4 in decreasing order.\nAnswer: 0.4, -0.08, -1, -3, -108\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 690*g**3 - 690*g**3 + 17*g - 17*g**4 wrt g.\nAnswer: -204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.738 - 8.638. Put -107, 0.08, r in increasing order.\nAnswer: -107, 0.08, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/175*6\/(-6)*16\/(-44)\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/402 and 5\/4?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5941 is divided by 423.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -164*v + 4. Let j be a(2). What are the prime factors of (6 + 42\/(-18))\/((-3)\/j)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 8 - 3*r)*(3 + 2 - 4).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 89849.31 centuries?\nAnswer: 8984931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7378 times -2858.9?\nAnswer: 21092964.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9718822 by -331.\nAnswer: 29362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/1*12\/(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 810 and 60?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.993 - -0.007. What is the third smallest value in -3\/2, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4 + (-10)\/(-4). Suppose -3*b + a = -4*g, g + g - 2 = b. Let l be (-12)\/b + (-779997)\/2. What is l rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*b + 24 + 4 = 0, 10 = 2*o + 4*b. Find the third derivative of r**3 - o*r**2 + 5*r**2 + 8*r**3 wrt r.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 4 - -5 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*d**2 - 84*d**2 - 95*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.32 + 5.12. Let w = j - -6.2. Let t = 39.9999979 + w. Round t to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 194910 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 + 277*g**2 + 66*g - 211. Let q be v(-69). Let h be (-2*5)\/((-2)\/(-4)). Sort q, 3, h in decreasing order.\nAnswer: 3, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 - 0.06. Let y be (-146)\/(-657)*(-18)\/70. Which is the nearest to 0.3? (a) h (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 38485?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -217116 from 0.11.\nAnswer: 217116.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**5 + 733901*w**3 + 38867287*w**2 wrt w?\nAnswer: 360*w**2 + 4403406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwooww. Give prob of picking 2 w and 2 o.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 21. Suppose a*j + y = 2*j + 6, 0 = -4*j + 4*y. Solve 13 = p + j*s, -2*p - s + 1 + 0 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/52925 and 20\/429751?\nAnswer: 10743775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((3 + -3)\/(-4))\/(-2). Let u(n) = 10 + n + 0*n + 6. Is 8 a factor of u(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2306.099 to the nearest integer.\nAnswer: 2306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 3*t - 37, -298*r + 53 = 4*t - 295*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddaa when four letters picked without replacement from {a: 6, d: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/10514610 and 37\/6308766?\nAnswer: 31543830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -282049 - 5*g + 6*g + 282042. Let k(p) = 32*p. Calculate k(m(f)).\nAnswer: 32*f - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 2*q - 6 - 4*q + 0*q. Let v be u(-4). What is the derivative of 11*z**v - 11 + 2*z**2 + 1 + 4*z**2 wrt z?\nAnswer: 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*t + 137 = 35, 3*g - 5*t + 68 = 0. Let j(u) = -u**2 - 21*u + 16. Determine j(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 2*x**2 + 8*x - 16. Give n(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 285986 = -150014. What is y rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:25 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 206.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 188648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 7*v**2 + 8*v + 26. Let w be d(-8). Let x = w - -4. Calculate the highest common factor of x and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5270, 10498, 15728, 20960, 26194, 31430?\nAnswer: 36668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 - 2*d - 4. Let a be h(-4). Calculate the common denominator of (-98)\/a - 4\/(-6) and (0 - -5)\/((-32)\/(-22)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4920826?\nAnswer: 2, 863, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -7.6.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50*(4\/(-8) - -1). Let j = g + -21. What is the derivative of -9*r**j - 5*r**3 + 2*r**3 - 2 + 3*r**3 wrt r?\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18c069 + 7?\nAnswer: 18c073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 1153393655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158950948*b**3 - 264747966*b**2 wrt b.\nAnswer: -953705688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*l**4*w - 60912*l*w**3 + 7*w**3 - 287918*w wrt l?\nAnswer: -156*l**3*w - 60912*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q + 6 = v, -q + 3*v = 2. Let k = q + 2. Let p(g) = 9*g + 13*g - 3643 + 3644 - 21*g. What is p(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 5*a**2. Let q be l(-5). Let o(x) = x + 2. Let y be o(-2). Suppose y = -3*c - q*c + 75. Solve 2*z - 29 = -0*n + 5*n, 5*n + c = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - 13*h**3 - 3*h**3 + (2 + 1 + 0)*(5*h**3 - 2*h**3 - h**3) + 3*h**3 + h**3 - 2*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a**2 - 2*a - 1. Let k be d(-1). Let q be (1 + 4)\/1 + 0 + -3. Which is greater: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -10. Let d(n) = 2*n**4 + n - 1. Let i(m) = 2*m + 3*m - 6*m. Let a(y) = x*i(y) - d(y). Differentiate a(w) with respect to w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4800240 divided by -60.\nAnswer: -80004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39068000 rounded to the nearest one million?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 + 6) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 27. Which is smaller: r or 65?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 3*w. Let r be d(3). Calculate the greatest common divisor of r and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 - 7272*v**2 - 3979647*v + 529745370 = 0. Calculate v.\nAnswer: -1267, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2762.3594*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1011110110000 (base 2) to base 5\nAnswer: 143224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**0))**(23\/2)*(z\/z**1*z)\/(z\/z**(-2\/13)*z) assuming z is positive.\nAnswer: z**(269\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 41676 and 41907 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 - 4*c + 4*c)*(75 + 13 - 25 + 40)*(2 - 2 + 1) as y + a*c**2 + n*c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2980 a factor of 123553780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w**5 - 518766218*w**4 - 33639798357869750*w**3\/7 + 686526931169074*w**2 + 27461059121706640*w\/7 - 10984424122983200\/7 = 0. What is w?\nAnswer: -18527365, -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053394?\nAnswer: 2, 193, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*2 + 1 + sqrt(684) + 1)*-1*6.\nAnswer: -108*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -239, -3\/10, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4792*s = -4797*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*r + 7*r + 26*r)*(-5 + 29890*r**2 - 29890*r**2 - 241*r**3) as c + z*r**3 + w*r**2 + v*r**4 + y*r and give v.\nAnswer: -12291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5 - -1)*310\/(-93).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2357 + 2358. What is the greatest common divisor of 29 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -310 - 1235. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 119506 = -3*f, 47*s + 5*f - 89615 = 44*s. List the prime factors of s.\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263140 divided by -5.\nAnswer: -52628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1523?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v - 1 = 45 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 3*y = 0. Let b(d) = 4*d**2 + d + 1. Let g be (-6)\/(-4) - 2\/4. Let w(r) = -r**2 - 1. Let i(o) = g*b(o) + 5*w(o). Give i(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*s**2 + 66*s**2 + 30*s**2.\nAnswer: 206*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5500 + 1724. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.59. Let k = i + 0.6. What is k rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1088.4 - -1088. What is the closest to -0.8 in 2, t, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91186 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 9 = -f, -42 = 4*v - 5*f - 39 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1601*z**3 - 2*z**2 - 2*z - 3. Let c be u(3). Let s(r) = r. Let n be s(5). Suppose n*k = 6*k - c. Round k to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 10*g**2 + 2*g - 17. Let j be t(10). What is the common denominator of -59\/8 and (-1005)\/90*j\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 269520 and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3906 * 100\nAnswer: 390600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 10*q - 10*q)*(-4 + 3 - 1)*(-3 + 3 - q) - 4*q**3 + 4*q**3 - q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 7 = 4*t - 1, 4*d + 1 = -3*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2) + 499 + 0\/(-397). Let o be (3\/(-15))\/((-8)\/w) - 1. What is q in 0 + 5*q**3 + o*q**2 + 6*q - 1\/2*q**4 = 0?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 17116?\nAnswer: 17114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 427 and 21994770?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -16*x**3 - 12*x**2. Let h(o) = -o**3 - 2*o**2 + 0*o**3 + o**2 + 0*o**2. Let v(k) = -8*h(k) + r(k). Solve v(t) = 0 for t.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 take away 260806286?\nAnswer: -260805681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2144920 to the nearest ten thousand.\nAnswer: -2140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50952 and 1848?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -53.8 (c) 9 (d) 2\/5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/2))**(26\/7))**(-19\/4)\/(g\/((g**(-1\/6)*g*g)\/g)*g**1)**(1\/4) assuming g is positive.\nAnswer: g**(-4495\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 36 + (-60 - (-83 + 62))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 18649.\nAnswer: 2\/18649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 - 3*f**2 - 21*f + 9. What are the prime factors of t(-7)?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**7\/105 + 77*n**6\/60 - 79*n**5\/30 - 77*n**4\/12 + 26*n**3 - 5337*n**2. Factor p(i).\nAnswer: 2*(i - 1)**2*(i + 1)*(i + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 30896?\nAnswer: 154480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - g - 16. Let q be s(5). Solve c + f = 6*f - 13, -5*c - 23 = -q*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1160\/(-84)*-7*144\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + b. Let d be j(-2). Factor 3*q - q**2 + d*q - 4*q.\nAnswer: -q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/3 - 31*t**4\/3 - 921*t**3 + 35911*t**2\/3 + 2762*t\/3 - 11960 = 0. What is t?\nAnswer: -46, -1, 1, 12, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-377455)\/(-104) + (-9)\/24?\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322739548913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5805653 tonnes to milligrams.\nAnswer: 580565300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -116919 divided by -1\nAnswer: 116919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586000287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -3a2?\nAnswer: -3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/19 - 2\/19*x - 8\/19*x**2 - 2\/19*x**3.\nAnswer: -2*(x - 1)*(x + 2)*(x + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 12:23 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10991858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29128 and 7920.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3605, -3646, -3685, -3722, -3757?\nAnswer: -3790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 - -116. Factor -6*y**2 - q*y + 61*y - 4*y**3 + 13*y**3.\nAnswer: 3*y**2*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67826555657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 8*w - 8*w + 5 - 3*w. Calculate h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3947813266.\nAnswer: 2, 1973906633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1147 or -1148?\nAnswer: -1148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 6. Suppose 928*k + 3*h = 923*k - 5, 4*h = 3*k - 26. Put i, k, -2 in ascending order.\nAnswer: -2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3969, -3957, -3921, -3849, -3729, -3549, -3297?\nAnswer: -2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -19893059 greater than or equal to -19893058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3175014 = -4*d - 3175090, 60 = -2*d - 3*c for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + q + 2*q)*(-3*q + 9*q - 2*q) + (-2 - 3 - 1)*(-8*q**2 + 28*q**2 + 16*q**2) to y + s*q + j*q**2 and give j.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6))**42\/(y*y\/(y\/y**(1\/9))*y**13) assuming y is positive.\nAnswer: y**(-2395\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 11*j - 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*u, 4*w + 9*u = 6*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 428737 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 17717900 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**2 - 4250*t - 903125 = 0.\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*r + 2050 = -99*r. Let j(o) = -o + 6. Let m be j(6). Is -2 + r\/(-1) + (m - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + ((sqrt(1377) + 6*(sqrt(1377) - 2*sqrt(1377)))*3 - (0 + sqrt(1377) + 1 + 1*sqrt(1377)*-2))**2.\nAnswer: 252*sqrt(17) + 269892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14535 - -14537. Let y(q) be the first derivative of 0*q + 0*q**i - 1\/2*q**5 + 24 - 1\/12*q**6 - 7\/8*q**4 - 1\/2*q**3. Solve y(b) = 0 for b.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5557? (a) 3 (b) 10 (c) 2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*k + 4*k + 44, 47 = f - k. Suppose 6*i = f + 16. Let p(t) = -t**3 + 9*t**2 + 12*t - 14. Let b be p(i). Round b to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 410*v. Let u(p) = p. Calculate k(u(h)).\nAnswer: 410*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 732910895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31920, 65244, 98568, 131892?\n\"Answer: 33324*g - 1404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/10295 - -570271\/82360. Let x = u + -49\/8. Suppose -14\/5*y**3 - 32\/5*y**2 - 22\/5*y - x = 0. What is y?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-315 + 69*u**3 - 280 - 12*u**2 + 597)*(0 - 2*u + 0).\nAnswer: -138*u**4 + 24*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 261761745 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/60*(-2415)\/(-7). Calculate the greatest common factor of 4255 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/15 (c) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261402183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 10*m - 13. Let f be a(8). Factor -8*g**2 + 16*g**f + 10*g**3 - 50*g**5 + 15*g**3 - 9*g**3 - 10*g**4.\nAnswer: -2*g**2*(g + 1)*(5*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1512.456 + 1257.18. Let k = f + -3.164. Let y = -254 - k. What is y rounded to one decimal place?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 262204389.\nAnswer: -5\/262204389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-1) - 3) + 2790\/186\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19 + (-636)\/36)\/(4\/3))\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 31*v**2 - 2*v + 115. Calculate z(31).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n + 23*n**2 - 19*n**2 + 2*n**4 - 4*n**3 + 7*n - 5*n**2 to a*n + r + z*n**2 + u*n**4 + x*n**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132484 - -325?\nAnswer: 132820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 4*r**2 - 6*r - 1. Let x(k) = -2*k**2 - k + 2. Let z be x(-2). What is the units digit of s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -29. Let g(q) = -47*q**2 - 6*q - 18*q**2 - 6 + 66*q**2. Let x(k) = -k - 1. What is a*x(i) + 2*g(i)?\nAnswer: 2*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 35*z + 11. Give l(3).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - b = -5*v - 3*b - 6, -b = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x + 291 = f, 889 = 3*f + x. Let y(w) = w**3 + 2*w + f + 0*w**3 - 292 + 3*w**2. What is y(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 2. What is u(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -5, -19.1, -1\/2, -2, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*p = 18929, 3*q + 10*p = 11*p + 11357. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 20 = 6*s. What is the derivative of -2 - 1 + s + y**4 wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 2, 6, -5, 1, 10 in decreasing order.\nAnswer: 29, 10, 6, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*g - 14*g. Solve 15*f - g*f = 40 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:49 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1800 + 3*s + 292*s + 3*s + 50*s + 1827 in the form x + v*s and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 2787539255.3.\nAnswer: -2787539255.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/11 and 77\/642.\nAnswer: 7062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3600 divided by 359?\nAnswer: -3600\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 994.51ml?\nAnswer: 0.99451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-19) + 11\/(-3))\/(-3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 90 in -11\/3, -0.4, 0.7, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3691.092 litres in millilitres?\nAnswer: 3691092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -212*d**3 - 4*d**2 + 43*d - 2. Let o(r) = -849*r**3 - 18*r**2 + 173*r - 9. Let m(f) = 2*o(f) - 9*p(f). Find the second derivative of m(y) wrt y.\nAnswer: 1260*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 739*u + 6000. Give x(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10570 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 13*g - 339 + 234 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29083071 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -30590 at least as big as -30572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 5:35 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 5*p - 3. Let t be i(-6). Let b = t - 1. Let w be 1\/(b - (1 + 0)). Solve 0 = 2*l - 5 + w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 4, 135.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -138. Suppose 0*j = j - q. Suppose 5*y + 0*r = 3*r + 23, -4*y - 5*r = -j. Calculate the remainder when 12 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 5 + (-1)\/2)\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eghroeheshos. Give prob of picking 2 o.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(9\/(-5) - -2). Suppose -142 = -n*r - 42. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -477*j + 6. Let x be c(-3). Suppose -10*p + x = -73. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u - 27*u - 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + -1e?\nAnswer: -2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 487 (base 12) to base 7.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*((sqrt(612) + 2)**2 - sqrt(612))*1.\nAnswer: -1227 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 1168?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 1\/2, -9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54.89693l?\nAnswer: 54896.93","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 10. Let k = -7 + o. What is the tens digit of 1*16 + k + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 18, -1, -2, -3 in decreasing order.\nAnswer: 25, 18, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1590*k + 5636*k = -867*k - 4021*k - 902334 for k.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 6 = -2*n, -59*n + 56*n = p + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = 3*s. Suppose 2*h = h - 3*f + 4, -5*h = -s*f - 20. Suppose 0 = h*o - o - 6. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**2 + 2316*z - 70016 = 0.\nAnswer: 32, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.4 + -7.462. Let m = y - 25.938. Let x = -26.3 - m. Sort -2, x, 5 in decreasing order.\nAnswer: 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 39*d + 34*d - 17, 0 = -5*j + 4*d - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**4\/6 - 116*d**3\/3 + 3364*d**2 - 2*d + 5. Suppose h(n) = 0. Calculate n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 11 + 13. Suppose -s + t + 5 = 0. Let y(z) = -2*z + 103. Let v be y(11). What is the highest common factor of s and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096\/42 + 4\/14 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m - 5*x - 2 = 0, 5*x = 5*m - 20. Solve -o = -m*o + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*y - 3 = 0, -y + 9 - 20 = 3*s. Let j(a) = -6*a - 2. Let w be j(s). Let g = -1696 - -1840. What is the greatest common divisor of w and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3) + 8 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 1056?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-12)\/(-501)) - (-3 + 6). Let h be (-2)\/(-14) + f\/28. Suppose -3*g + 285 = 3*k, -3*k - 6 = h. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-10) - (-28)\/10. Suppose 4*o = -4*c, c + 1 = a*o - 8. Sort -3, o, -9 in decreasing order.\nAnswer: o, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1379422 - 972567. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 23, 13935 in decreasing order.\nAnswer: 13935, 23, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5837381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**3 + s**2 + 13*s - 11. Is v(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:00 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1022*n**2 - 17168*n**2 - 67303 + 67303 to the form u*n + p*n**2 + c and give p.\nAnswer: -16146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1602)\/(-126) - 12\/(-42). Let n(b) = b**3 - 13*b**2 + 2*b - 14. Give n(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -457326\/283 + 1616. Let k(u) be the third derivative of -u**5\/60 - 5*u**4\/3 + 20*u**3\/3 - 95*u**2. Let q be k(-41). Are m and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h + 659. Let l be v(-39). Let z(a) = a - 1. Let n(t) = -4*t + 4. What is l*n(d) - 18*z(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 5*w + 0*w - 26.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**4\/16 - q**3\/4 + q**2\/2 - 5. Factor l(g).\nAnswer: -g*(g - 1)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3, 34\/3.\nAnswer: 0.2, 3, 34\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/((k\/k**3)\/k))**(-1\/36) assuming k is positive.\nAnswer: k**(-19\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11712 - 12117 = 27*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 + -0.6. Let p = z + -2.5. Let g = 0.5 + 1.5. Sort p, -4, g.\nAnswer: -4, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 - 6*i**2 + 2*i + 18. Let l(w) = -w**3 - w**2 - 1. Let f(g) = -d(g) - 4*l(g). Let v be f(-10). Solve -4*k - 3*a + v*a + 13 = 0, -a = -1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1549\/4 + 8233\/20. Which is smaller: k or 25?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 4:57 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 8 = 5*m. Suppose 3*u = -o - 126, -u = u + 4. Let i = 123 + o. Solve 3*x = 4*x - m*a + 8, x + i*a - 17 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820\/867 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t + 66. Suppose 5*f = -4*b - t, -2*f + 3*b - 4*b - 24 = 0. Let x = 6 + f. Let j(d) = d - 5. Calculate j(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.58 - 0.5. Let z = c - 3.08. Suppose -3*u + 5*j + 7 = 0, 0 = -5*u - 3*j + 2*j - 7. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) 2 (c) -20 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 892*m + 893*m - 1791*m + 1.\nAnswer: -m**2 - 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 13*v = 60. Let q be (-10)\/v*(-3)\/2. What is the tens digit of 4\/(-18) + 1244\/9 + q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + 55*n**4 - 204*n**3 - 16*n**2 + 832*n - 816.\nAnswer: -(n - 51)*(n - 2)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*m - 8*r = -3*m - 4*r, 2*m - 5*r - 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.027 + -1.003. Let u = t - -1.030077. Round u to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10117000 rounded to the nearest 100000?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271, -5, -73.\nAnswer: -73, -5, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-7 - (-1 - -5 - 13))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j. Suppose 7*q = 7*q + 5*q. Suppose -2*t + 4 = 3*d - 23, q = 3*t - 4*d - 66. Let l be -1*(6 + -2)*t\/(-72). What is s(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffsffffsffssfsff. Give prob of sequence fsf.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18802\/(-310233) - (-2702)\/(-66)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*k*n**4 - k*n**2 + 46175*k - n**2 + 7*n wrt n.\nAnswer: -80*k*n**3 - 2*k*n - 2*n + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Suppose -3*v - 6 = -3*p - 4*v, -5*p + 10 = -g*v. Let k(f) = f**3 - f**2. What are the prime factors of k(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0 - 7 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 0 + -1 + (-3 - -1). Suppose -2*u + 5 = -5. Suppose -4*g = -u*g + x, -l - 5*g + 2022 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 131, 259, 387, 515, 643?\n\"Answer: 128*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/110*(-9525)\/(-1524).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/1408 and 17\/88?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 1612, -9 in descending order.\nAnswer: 1612, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 394\/40 - (-198)\/(-264) and 53\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4\/3 + 37933*p**3\/3 + 119586276*p**2 - 18397474432*p\/3 - 18756195328\/3 = 0.\nAnswer: -18992, -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -1\/2, -1\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3349 - -7620. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4813 is divided by 963?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 take away -2037996247?\nAnswer: 2037996272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 5)*(2*q**2 + 2*q - 2*q) + q**2 + q**2 - 4*q**2 - 4*q**2 + 4*q**2 + 3*q**2 + (1 - 1 + q)*(2*q + 0*q - q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513449*0.5.\nAnswer: -256724.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 33*f**2 + 573*f + 1151. Determine d(14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j**3 + 61*j**2 - 262*j - 6. Determine g(4).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 491132227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*t + 246, -3*t + 64 = f - t. Let z(g) = -55*g - 35. Let s be z(-1). Calculate the highest common divisor of f and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(189696\/1707507 - (8\/(-9))\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1 - 2) + 9. Let f be w\/(-10) + 21\/(-15). What is the smallest value in 2, -4\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21000121 - 11210?\nAnswer: 20211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*j**2 + 326*j + 1 - 327*j)*(2*j - 4*j + 0*j) + 2*j**3 - j + 0*j**3 - j.\nAnswer: 8*j**3 + 2*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -27. Which is the biggest value? (a) -2\/7 (b) -0.5 (c) -5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.59 - 0.59. Let u = o - 12. Sort 0.3, u, 0.5 in descending order.\nAnswer: 0.5, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719.74491 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/9)*m*m*m**0*m*(m\/(m\/(m*m**(-7))))\/m*m\/(m*m**(-2)*m) assuming m is positive.\nAnswer: m**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 5*v + 2*v)*(-1 + 1 - 1) + (4 + 1 - 3)*(6*v - 3*v - 2*v + (v + 3 - 3)*(3 + 2 - 6) - 29*v + 1 - 1) in the form r*v + n and give r.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z - 112 + 2016 = 158*z - 48*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -41. Let g be (24\/d)\/((-6)\/(-4)). Suppose g*r - 4*v - 20 = 0, -2*r + 5*v - 1 = 1. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.09719 micrometers in kilometers?\nAnswer: 0.00000003609719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.375 + 0.073. Let q = r + 0.102. Sort -15, 0, q in increasing order.\nAnswer: -15, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24952 is divided by 137.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -788770.\nAnswer: -7887.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -17.88. Let t = q + 0.08. What is t rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**2 - 7*m - 4. Suppose 3 = -x - 3. Let g be 141\/(-21) + x\/21. Let t(p) = 10*p**2 + 10*p + 6. What is g*r(f) - 5*t(f)?\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*b = 1680, 0 = -5*v - 75*b + 71*b + 2106. What is the remainder when v is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/16 + 10\/8. Solve 0 = -i*q - 8, 4*l - 2*q + 16 = -4*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1989? (a) 0 (b) 5\/2 (c) -1 (d) 0.3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 0*f + 20*f**3 - f - 72121 + 72125 - 5*f**4 + 0*f**2 as d*f**4 + h*f**3 + u + t*f**2 + w*f and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108932.85 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, -3\/28, -2\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3 - 16*m**2 + 617*m + 10200 = 0?\nAnswer: -24, -17, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 102232*b**2 - 1227098*b + 1329328.\nAnswer: 2*(b - 51128)*(b - 1)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 308759 = 308760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from tttotoysytosy.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/(9\/52) - -4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 20, -5, -1, 2 in decreasing order.\nAnswer: 20, 2, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61329148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - sqrt(128)*2 - sqrt(8))\/sqrt(4).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*t + 37 + 40 - 77 as g*t + r and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41056163 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 -18, -62, -124, -204, -302?\n\"Answer: -9*d**2 - 17*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 84058?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3 + 21*m**2 + 8*m**2 - 4*m**3 + 5*m**3 - 18*m**2 + 13*m. What is x(-10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*w - 0 - 25, w - 5*f = -5. Calculate the common denominator of (17*2)\/((-32)\/6) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22583385 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20429633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -198 in -0.1, 17, 23, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189127652 and 16864?\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/4)\/9 - (-16)\/(-38))\/(37389\/(-74778)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172*j**2 - 939*j + 363*j**5 + 20*j**2 - 194*j**2 wrt j.\nAnswer: 21780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1 (b) -8 (c) 18 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.3, 26, 7, 0.9 in decreasing order.\nAnswer: 26, 7, 0.9, 1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 6. Let n be m(-4). Let z = -12 - n. Find the second derivative of z*w - 20*w + 29 - 12*w**5 - 29 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let t(u) = -5*u - 1. Let p be t(a). Suppose -m - p*m = -20. Solve -4*v - 20 = -m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4576, 18098, 40354, 71116, 110156, 157246, 212158, 274664?\nAnswer: 344536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 3, 437\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 36*g**2 - 67*g + 11. Let c be a(-34). Are c and -122\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:14 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 99287 and -3376425573?\nAnswer: 3376524860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799711885 to the nearest integer?\nAnswer: 28279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 2483 = 2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4627?\nAnswer: 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -963, -952, -941, -930, -919, -908?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3405918637.\nAnswer: 11, 23, 647, 20807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -315.\nAnswer: -1\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**2\/11 - 186276*a\/11 + 558882\/11.\nAnswer: -6*(a - 3)*(a + 31049)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -11.13.\nAnswer: -22.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 - 147.21. Let d = -2.21 - z. Let f = -37 - -112\/3. What is the third biggest value in d, f, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 22 + 237*j + 53 - 246*j - 12.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-16))\/((-9)\/4 - -2). Let o(w) = w**3 + 5*w**2 + 3*w. Let k be o(y). Let p(j) = j**3 - 8*j**2 + 4*j - 8. Does 38 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 38970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -497*v**2 - 16*v + 14. Let k(s) = 124*s**2 + 4*s - 3. Give 9*k(t) + 2*l(t).\nAnswer: 122*t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*(7\/(-6) + 1). Which is the nearest to 1\/5? (a) 2\/11 (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + z - 2 = -4*h, -2 = -3*h - z. Suppose h = -x + 8 + 31. What is the remainder when x is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7\/w**(-1\/3)*(w\/(w\/((w\/(w*w\/w**3))\/w)*w))**(5\/11))**(-44))**(-5\/3) assuming w is positive.\nAnswer: w**(4840\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126923.\nAnswer: 126923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 + 154*b + 480 = 0.\nAnswer: -3, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 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: Let y = -18565 + 30988. Let k = y - 124353\/10. Let g = -2\/3749 + -284906\/33741. Find the common denominator of g and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m*m**(-1\/6))*m**3*(m\/(m**(-9)\/m))\/(m*m**(1\/3)) assuming m is positive.\nAnswer: m**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002146 rounded to five dps?\nAnswer: -0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*k - 1 = 0, -1 = -4*a + 5*a - k. Suppose z - 3*f + 8*f = a, -5*f = 5*z + 5. Let y be 2 + 24\/(-9) + 3\/(-9). Sort 4, -5, y, z.\nAnswer: -5, z, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/(23\/((-897)\/(-52))). Which is the third smallest value? (a) s (b) -2\/13 (c) -4 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 + -205.0000644. Round y to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -13 - (-10 + (0 - -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57\/2 of a centimeter?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-306)\/3*(-1309)\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4338 and 383190.\nAnswer: 1149570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -1 (b) -503 (c) -1\/6 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 5451*w - 5463*w)*(2*w**3 + w**3 - 5*w**3).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 33*p**2 - 121*p + 446. What is the remainder when 1163 is divided by w(29)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.89 - -0.11. Let t be (-1640)\/24 + 4\/(-6). Let n be t\/21 - (-3)\/1. What is the nearest to 0 in n, g, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61067344.87+-4\nAnswer: -61067348.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*r + 2*r - 2 + 2 to the form n + h*r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/((j*(j**(-3)\/j)\/j)\/j))*j)*j**(2\/21)*j**(-3)*j*j**4)\/(j\/(j\/(j\/j**(-1\/3)*j*j*j))*j*j*j**(-2\/7))**45 assuming j is positive.\nAnswer: j**(-5566\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20351 + 1231 - 8514 = 368*g - 1506 for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -226078272 divided by -6768?\nAnswer: 33404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2394 divided by -14.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 25 = -4. Suppose 104 = b*s + 50. Suppose 0 = q + s - 62. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**4 + 2 - 53 + j + 4*j**4 + 10 to the form z*j**4 + l*j + a*j**2 + r + p*j**3 and give r.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -61878900 to the nearest 1000000.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-7\/6)\/(v**(-2\/25)*v**(-1\/26)\/v) assuming v is positive.\nAnswer: v**(727\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z. Let w(l) = 145*l + 2. Let t(m) = 321*m + 4. Let p(u) = 2*t(u) - 5*w(u). Calculate g(p(h)).\nAnswer: -415*h - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**3 + 4*h**2 + 3*h - 6. Let x(m) = -14*m**3 + 8*m**2 + 6*m - 14. What is 5*w(s) - 3*x(s)?\nAnswer: 2*s**3 - 4*s**2 - 3*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1 + 2 - 2 + 7*b. Let m be n(1). Is (-3)\/2*(-44)\/m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 198734806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 28718 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 c(p) = -p - 4. Let t be c(-6). Suppose 123 = t*r + 13. What is the highest common factor of 22 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is abb (base 13) in base 5?\nAnswer: 24334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 377 = g, 14*g - 383 = -3*c + 10*g. Calculate the greatest common factor of c and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11649077*z**2 - 35270402 with respect to z.\nAnswer: 23298154*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by (-7)\/(3 - 88\/28)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -64*k**3 + 4*k**2 + 179*k + 176. Calculate t(-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 11*y + 11. Suppose 15*z + 36 = 11*z. Let j be a(z). Let t be 1\/(j\/(3\/3) + 3). What is the second smallest value in -1\/9, t, 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/90 + 7136\/36. Calculate the highest common divisor of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5 + 5 + 2*p - p. Calculate o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30751642, -30751647, -30751652, -30751657, -30751662, -30751667?\nAnswer: -30751672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/13 - 12\/78. Suppose l*i = 4*h - 4*i + 48, -5*h - 3*i - 28 = 0. What are the prime factors of ((-6)\/5)\/(h\/60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19892 (b) -7636 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -880 by -20.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**7\/630 - g**6\/120 - g**5\/20 - 5*g**4\/72 - 5*g**2 - g. Factor q(l).\nAnswer: l*(l - 5)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)*w\/((w*w**(3\/7)\/w)\/w))\/(w*w**(-1\/3)*w\/w**(2\/7)) assuming w is positive.\nAnswer: w**(-22\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2. Let k(y) be the first derivative of -4*y**3 + 2. Determine k(i(m)).\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734820 (base 9) to base 13.\nAnswer: 123963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5507*j**2*o + 32*j*o**3 + 12*o**3 + o**2 + 1858*o + 3 wrt j?\nAnswer: -11014*j*o + 32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + 88d51e?\nAnswer: 88d509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 15, g: 4}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -3 (c) -0.2 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103425 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 8. Let z(v) = -v**2 + 1. Let n(b) = c(b) + 3*z(b). Differentiate n(x) with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61.9999349 - -62. Round g to 6 dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 8*c + 256. Let p = c + -32. Let w = -145 - -2467\/17. What is the closest to -0.2 in -0.1, p, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1128)\/(-1974)*(819\/648*4 + (0 - 0)).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4637*p**2 + 4112*p.\nAnswer: -9274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(2\/5)*f*f**(-2\/31)*(f\/(f*f**(3\/8)\/f))**37 assuming f is positive.\nAnswer: f**(31571\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3390 and -19\/10.\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7095 and 90?\nAnswer: 42570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5624*l**2 + 11254*l**2 - 5627*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 3, 5 in decreasing order.\nAnswer: 70, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/60 - r**4\/6 - 4*r**3\/3 - 23*r**2. Calculate x(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**6\/360 + v**5\/24 + v**4\/24 - v**3\/2 + 2*v**2 + 21*v. Let g(x) be the second derivative of c(x). Calculate g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*q - 260 = -5*v, 4*v = 3*q + 215. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4875 + -4860. What is the remainder when -15*(-3 + (-28)\/(-20)) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1683 and 18.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-5)*(-3 + (-14)\/(-6)). What is the second derivative of -1 + 0*n**4 + o*n**4 - 11*n + 1 wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.747 + 0.253. What is the closest to -1 in -2\/9, -1\/5, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02282 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-5\/4))**(-43))**0)**15 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (212\/(-146))\/(36704\/(-1339696)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**3\/3 + 42*j - 9. Let d(g) be the first derivative of f(g). Let w(z) = -26*z**2. Determine d(w(t)).\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-9) - (-33)\/18. Let z = -25852 + 25849. What is the nearest to 0 in 1, 7, z, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {y: 1, g: 1, n: 1, m: 2, b: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = d - 3*d, 4*j - 3*d = -255993. Let c be (-4 - j - 0) + 2. Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/1032 - (6314\/(-1848) + (-20)\/(-6)).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93612597 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 1, t: 1, n: 2, x: 1}. What is prob of sequence fn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - l - 4 = 0, 3*p - 3 = l + 1. Suppose 5*k + 61 = -104. Let q be k\/153 + (-2)\/(-6). Which is greater: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5\/4 - 3*p**4\/4 + p**2 = 0. Calculate p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 150150 = -d, -3*l - 4*d - 120096 = -7*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**2 - n**3 - 4*n**2 - 3*n**3 + 2*n**3 to d + i*n**2 + m*n + k*n**3 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73 - (-40 + -22)) + (0 + -2 - -2) + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14274)\/52338*374\/18?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 0*y**3 + 0*y**4 + 127\/5*y**5 - 118*y + 0*y**2 - 131. What is the first derivative of r(n) wrt n?\nAnswer: 508*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(182\/49) - 34\/6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58, 93, 128, 163, 198, 233?\n\"Answer: 35*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by 17.\nAnswer: -116\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwwjwwjwwwrjj. Give prob of picking 1 j, 2 w, and 1 r.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1\/3, 1, 2\/17, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1197 and 43\/125685.\nAnswer: 125685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(625) + (sqrt(50) - (sqrt(50) + sqrt(200) + sqrt(50)))\/sqrt(2))\/(2*sqrt(500)*-6).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(((-715)\/(-91))\/(-55))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 3 + (-4 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*8*(-1)\/(-2). Suppose 44 = -3*n + 5*u + 4, 3*u = -5*n - 10. Let i be -1 - n*(-1 + 2). Solve -i*l + w*t - 4 = -0, -l - t = 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1421)\/145)\/(28*(-23)\/(-6440)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133324.05 months to millennia.\nAnswer: 11.1103375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985886 to the power of 1\/2, to the nearest integer?\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*i = -206*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 2*f**2 - 4*f)*((8 + 1 + 2)*(-2 + 2 - 1) - 1 - 2 + 2)*(4*f + 0 + 0)*(2*f - 2*f + 4*f).\nAnswer: -384*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000011100 (base 2) to base 12.\nAnswer: -738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1)\/(9\/1800*-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 1 - 1)*((4*j - 3*j + 2*j)*(30*j - 30*j + 8*j**2 - 5*j**2 + 0 + 0 + (-4 + 2 + 1)*(2*j**2 - 2*j + 2*j)) + 3*j**3 + 4*j**3 - 3*j**3).\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/4 + n**4\/12 + n**3\/2 + 3*n**2 + 2*n. Suppose 4*y + 28 = 4*b, -17 + 1 = 4*y - b. Is d(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 1:29 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -21*a**2 + 4*a. Let w(s) = 10*s**2 - 2*s. Let g(l) = 3*r(l) + 7*w(l). Let o(z) = -155*z**2 + 45*z. Determine -45*g(n) - 2*o(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44 times -1\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 + 254. Let h be -5 - (-4)\/(g\/243). Do h and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 + 3*q**2 + 3*q - 3. Let h(j) = -j**2 + j - 1. Let u(p) = 3*h(p) - i(p). Find the third derivative of u(g) wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43876 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: Solve 775 = 461*w - 306*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/2 (c) 4.5 (d) -2 (e) -2577\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3763 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2974066 + -1643070.9?\nAnswer: -1643071.1974066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 + -3. Is n bigger than 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*h + 4. Let j = 0 - h. Is j\/(0 + 4\/(-106)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127427 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71920\/19 + -3788. Let h(w) = -2102*w**2 + w. Let v be h(1). Let l = v + 12683\/6. Find the common denominator of x and l.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixteenths of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-3))\/(4\/(-810)). Let r = 110 - v. List the prime factors of r.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107 divided by 1?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (8 - (-2 - -2)). Sort 21, 0, d, -1.\nAnswer: -1, 0, d, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2604 = 2494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*f - 1020*f - 218*f.\nAnswer: -1632*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 10*j**2 - 13*j - 2. Let p be o(-11). Calculate the highest common divisor of 40 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -22, -2 in descending order.\nAnswer: 4, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8588.\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 747 + -738. Let x be h\/((-3)\/(75*-30400)). Round x to the nearest one hundred thousand.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 16 = p - 18, 0 = -3*p + 4*n - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3\/5 (b) -6\/19 (c) 31\/6 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j**3\/4 + 7*j**2\/2 + 49*j\/4 = 0. What is j?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621096 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/20)*v*v*v**(-17)*((v\/(v*(v*v\/(v**(13\/4)*v))\/v))\/v*v)\/v**(3\/11) assuming v is positive.\nAnswer: v**(-1317\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -27a?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**2 + 3*s + 3. Let m(o) = -11*o**2 + 5*o + 7. Calculate 4*m(x) - 7*r(x).\nAnswer: -2*x**2 - x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 2:02 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -60, 220, -2, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1087*p**2 - 10*p + 14. Let c(w) = -362*w**2 + 3*w - 4. What is 7*c(x) + 2*m(x)?\nAnswer: -360*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36299.019 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/3 + (380494\/(-2856))\/31.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193374*h**2 + 3 - 193059*h**2 - 3.\nAnswer: 315*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -109612095.\nAnswer: 17\/109612095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37944289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (280896794\/(-1614))\/(1\/(1*-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:44 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -450000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -192, -194, -198, -204, -212, -222?\n\"Answer: -b**2 + b - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 12*f**2 + 11*f + 15. Let k be n(11). Suppose -6*c = -c - k. Solve 0 = -5*u - z - 30, -z + 10 = -c*u - 0*z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1612\/(-6))\/(2\/(-18)). Let o = i + -24109\/10. Find the common denominator of o and (-23)\/138 - 1\/(6\/(-32)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407319379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111001011111101 (base 2) to base 13.\nAnswer: 22410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -325 - -4088?\nAnswer: 3663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4707413 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 16*h - 220. Suppose -6*s - h*s + 112 = 0. Solve 3*p + 2 = -s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.766977 and -42837.\nAnswer: -42838.766977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -75*b**3 + 4346360*b**2 - 2897515*b - 1448770 = 0?\nAnswer: -1\/3, 1, 289754\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7490141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2488*v**4 - v**3 + 2*v**2 - 2791*v. Let d(u) = 2*u**4 - u**3 + u**2 + u. Let a(q) = 2*d(q) - o(q). What is the second derivative of a(k) wrt k?\nAnswer: 29904*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -161\/6*p**6 + 0*p**5 - 4*p**2 - 132 + 0*p**4 - 3*p + 0*p**3. Find the second derivative of l(s) wrt s.\nAnswer: -3220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x - x. Suppose -x*c + 67 = -109. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2*2 + 1 + 4*(3*sqrt(33))\/sqrt(3))**2.\nAnswer: 32*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i = -2*w - 19, w - 5*i + 4 = 0. Let h = -5 - w. Solve -x - 3 = -h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22280?\nAnswer: 2, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3034 - -3038. Let l = 4 + -4. Suppose 4*b - 12 = l, 55 = 4*a + b - 4*b. Solve q = -y*s - a, q - 3*s - 12 = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 14 = o - 0*o, 2*d + 11 = -o. Let s = 33.472 + -33.172. What is the closest to o in 0.6, s, 1.6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 628 and (((-8)\/(-2))\/(-1))\/(22 + (-55328)\/2512)?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:51 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*n - 6467, -5*t - 4*n + 9622 = -1159. Calculate the remainder when t is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2607*n + 5136*n - 2632*n = 452 - 1585 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -115*j**3\/3 + 73*j**2 - 324*j. Differentiate b(o) wrt o.\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 946754117*o**2 - 45899667 wrt o.\nAnswer: 1893508234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1838*j**3*l**3 - 24*j**3 + l**3 - 8167*l**2 + 35*l + 1 wrt j.\nAnswer: -5514*j**2*l**3 - 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2625 + 504 + 4545 = 2558*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28837, 123439, 281109, 501847, 785653?\nAnswer: 1132527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.092 - -0.1814. What is u rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -7*g**2\/2 - 40*g + 26. Is j(-13) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23015 (base 10) in base 4?\nAnswer: -11213213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12153, 12162, 12185, 12228, 12297, 12398, 12537?\n\"Answer: z**3 + z**2 - z + 12152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14850 (base 11) in base 2?\nAnswer: -101000111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7742 divided by -2\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*r - 82 = 0, 5*r + 43 = 2*i - i. Suppose i*n + 8 = 44. Solve 0 = -2*z + 2*t - 2, -2*z + 5*t = n*z + 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, 2, -0.5, -2\/93 in ascending order.\nAnswer: -0.5, -0.2, -2\/93, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2973935, -2973955, -2973975, -2973995, -2974015?\n\"Answer: -20*r - 2973915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 4\/((-12)\/9). Let h be 1 - -4 - (r + -3). Solve 2*d + 3*d = -h*k, -k = 2*d + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -4, 1, 33.\nAnswer: -4, -1\/5, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**5\/60 - 5*s**4\/24 + s**3 - 5*s**2\/2 - 16. Let j(t) be the second derivative of r(t). What is j(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + b - 9. Let l be g(0). Let h(s) = -s**3 - 29*s**2 + 118*s + 699. Let c be h(-32). Sort l, c, -2, -4 in descending order.\nAnswer: -2, -4, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15016327351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o - 39 = -3*o + 126 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67376 + 0*f**2 - 3*f**2 + 67357 to the form r*f + p + a*f**2 and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*1*(4 + sqrt(1331))*-6)**2.\nAnswer: 3168*sqrt(11) + 48497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 l when four letters picked without replacement from ljlllljjljl?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4051 (b) -7.9 (c) 4\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-100)\/(-24) + -1. Let q(t) be the second derivative of -2*t - t**2 + 2\/3*t**3 - i*t**4 + 0. Determine y so that q(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtttcttcttctcmttctt. What is prob of picking 1 t and 3 c?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3 = 4*g, -2*g = -3*g + 3*q - 1. Suppose -15*x + 16*x = -4*m, 4*x = g*m + 18. Sort 2, -3, 0, x.\nAnswer: -3, 0, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-1 + 7 + 2 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/16 + 45\/4. Suppose -216*v = -a - 214*v + 73, 4*v = -2*a + 162. What is the highest common factor of a and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (25 + 21) - -2) + -38?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from pxripfr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m - m + 4*m + (-6*m + 3*m + 2*m)*(-1 - 5 + 1))*((m + 2*m - 2*m)*(-1 + 0 + 3) - 42*m + 17*m - 9*m) in the form l*m**2 + i*m + p and give l.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1481246 and -53\/96603?\nAnswer: 4443738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102411?\nAnswer: 3, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 16 + 12 = -16 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 298724 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46323630 a multiple of 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:05 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcc when three letters picked without replacement from {y: 2, j: 3, e: 1, x: 4, c: 4, b: 1}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in -1\/4, -4, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 + 114. Suppose 66 + 207 = -t*y. Let f = y + 66. Calculate the remainder when 97 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -176 - (-145 + 86 + 71) - (6 + -1)?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + (-3 - -5) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11550740 divided by -5\nAnswer: 2310148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/27)*n*n\/((n*n\/(n**(15\/4)\/n))\/n) assuming n is positive.\nAnswer: n**(413\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5811899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4553, -4597, -4649, -4709, -4777, -4853, -4937?\n\"Answer: -4*z**2 - 32*z - 4517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7495 = -5*f, 0*s + s = -f - 7499. Round s to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -837, -931, -1025, -1119, -1213?\n\"Answer: -94*q - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 166112b + 7?\nAnswer: 1661133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 8*d**2 + 7*d + 10. Let q be k(7). Let z = -16 + q. Let r(i) = -i**2 - 6*i + 4. Calculate r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -214565?\nAnswer: -214611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*s + 125459 - 35621 = -2631*s for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let h(t) = t**3 - 5*t**2 - t - 1. Let f(b) = h(b) + 3*q(b). Let y = -17 + 22. Suppose m - y*m = -12. Calculate f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/7*(-68040)\/1458.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 364?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7354.347 kilograms?\nAnswer: 7354347000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1061 + 522 - h + 512 + 0*h. Determine d(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 + (-33)\/7. Let b = p - -1. Let f be 2\/b*396\/(-2). Calculate the greatest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmyy. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12398056, -49592214, -111582472, -198368824, -309951264, -446329786, -607504384?\n\"Answer: o**3 - 12398056*o**2 + 3*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 101?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**3\/6 + 5*b**2 - 12*b. Let r be p(-6). Suppose r*f - 57 = -13. What is the greatest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -6 - ((-20)\/(-3) - -2)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*p + 58, 5*i = -3*p + 16 + 127. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 14174\/9 (b) -14 (c) 0.1 (d) 1 (e) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Let b = -1 + 1. Let k = b + x. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 + 0.06. Let s = 51.94 - 55. Let o = s - q. Which is the biggest value? (a) 1 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w**2 - 20*w + 24. Give o(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0830104 rounded to 3 dps?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 6 - (-11 - -12 - (-8 + -5 - -75)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(13))**2 + 5 + (-3 + -1*sqrt(13) - (sqrt(13) + (sqrt(1053) + 0 - sqrt(1053)))).\nAnswer: -2*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18*z + 2325. Let g(w) = -13*w - 1744. What is -11*g(t) - 8*h(t)?\nAnswer: -t + 584","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 2.1. Let f = r - 1.5. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7223 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(26\/(-8)). Let s(z) = -2*z**3 + z**2 + z - 2. Let v be s(0). Which is the nearest to 0.4? (a) 5 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 4623554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/41 and 43\/410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.259 + -53.241. Sort 0, y, -6 in decreasing order.\nAnswer: 0, -6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 3:30 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111 + 1011011011?\nAnswer: 1101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34839 divided by -63?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1464 = -0*n - 3*n. Let x = n + -3370\/7. Let q be -6*(5\/(-6) + 22\/(-44)). Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + 14\/6. Let t(k) = 2 - i - 2*k**2 + 2*k**3 - 2*k. Let m = 6 + -4. Determine t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161756 is divided by 1254.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 7 + w**3 + 2*w**2 + w**2. Suppose 5*m + d + 5 = 0, -m + 33 = -4*d + 13. Calculate u(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 233*p**3 - 3*p - 119*p**3 + 1 - 117*p**3 + 1 to k*p**3 + v*p + j*p**2 + u and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + o**2 - 3*o + 2. Calculate the least common multiple of ((-20360)\/736 - (-70)\/(-805))\/((-6)\/16) and s(2).\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 16*n + 7. Let c be (-222)\/21 + (-6)\/14. Does 21 divide w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -3.7. Let n be 44\/120 - 1\/5. Let k = 0.5 - 0.9. What is the closest to 0.1 in r, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 3888\/(-276) - -2.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 17. What is the nearest to 1 in -3, -5, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 16. Suppose 0 = p - 4*r - 18, -2*p = -m*r + r - 21. Let t = p - 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2278901110 + -33.6\nAnswer: -2278901143.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s + 12 = -3*n, 0 = -n - s. Let f be (-2 - (3 + -2))\/n. What is the units digit of (f\/(-2) - (-126)\/4)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -317 in increasing order.\nAnswer: -317, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2. Let x(j) = -9*j**2. Let o(s) = 11*i(s) - 4*x(s). Suppose -2*w + 38 = -18. Let f(m) = 29*m - 58*m + w*m. Calculate o(f(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 49. Suppose -3*o = -w - 16. Calculate the highest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18) - 40\/(-18). Let a(j) = -j + 1. Let x(o) = -7*o + 10. Let g(d) = -2*d + 0*d - 8*d + 15. Let v(z) = -5*g(z) + 8*x(z). Give p*v(m) - 10*a(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y + 6. Suppose 9*g - 46*g = -74. Let c(d) be the first derivative of -7*d + 7\/2*d**g + 5. Calculate -5*c(j) - 6*v(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180307\/4 + 7482873\/166. Let h = u - 4\/83. Is 0 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115634336, -231268676, -346903016, -462537356, -578171696?\nAnswer: -693806036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3110*g**4 + 96614*g**3 - 304676*g**2 + 191080*g + 13872 = 0?\nAnswer: -34, -102\/1555, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/641636 and 41\/64.\nAnswer: 10266176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 b when three letters picked without replacement from bbrcgbrrcb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 6:43 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - s**2)*(-1 + 1 + s + (461 + 779 + 36)*(-3*s + 2*s - 4*s)).\nAnswer: 6379*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 198*v**2 + 4998*v + 4802.\nAnswer: 2*(v + 1)*(v + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose 3 = -5*b + i*b. Let h be 1 - (1 - (3 + b)). Solve k - 3*k = h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 10815.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1037 + 2*m - 334*m**3 + 3*m**2 + 563 - 2*m + 333*m**3 to the form j*m**2 + a*m + f*m**3 + u and give u.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 3. Let o be j(2). Suppose -r = 2*x + 2, -3*x + 3 - o = -r. Solve -4*i + x*b - 11 = b, -2*i + 3*b = -5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.023507011933 and 0.4.\nAnswer: 0.423507011933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66\/13 or 0.66473?\nAnswer: 0.66473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181535360 by -45383840.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41564 is divided by 5867?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**5 + 2100*h**4 - 529863*h**3 - 2701440*h**2 = 0?\nAnswer: -896, -5, 0, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 26\/3)*3. Let y = q - 15. Solve 3*z - 2 = 4*f + 18, f - y*z = -10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 3*u + 112. Let y be z(0). Calculate the highest common factor of y and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1220*f**2 + 1220*f**2 + 136*f**3.\nAnswer: 136*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2\/7, 4, -23.042, 11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = 0, 5*l - a = 3*a - 7. Let k(q) = -q**3 - 4*q**2 - 4*q. Let z be k(-4). Let y be (-12)\/30 - z\/10. Sort l, -4, y in decreasing order.\nAnswer: y, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, 6, 28, 68, 132, 226?\n\"Answer: l**3 + 3*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21206, -21205, -21204, -21203, -21202, -21201?\n\"Answer: o - 21207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*g + 8 = 0, -2*g + 31 + 101 = 5*r. Let v be r\/45 - 6\/27. What is the smallest value in 5, v, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317 divided by 14\nAnswer: -317\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -261187.\nAnswer: 50\/261187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 231495617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**7\/70 + 5*r**4\/24 + 10*r**2. Find the second derivative of n(x) wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 7:52 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 + 249. Suppose -5*r + s = -i, 3*r = -r - 5*s + 60. Solve 0 = -n + 4, -n = -3*u + 1 - r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = -20*j + 36. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 equal to -28238\/803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(304) + 1)*-6 + (sqrt(304) - sqrt(304)*2) + 1 + -4 + -2*sqrt(304))**2*-1.\nAnswer: -222345 - 5832*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31270415*f**2 + 6931253*f wrt f.\nAnswer: -62540830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.020099467 - -0.0201. Round m to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 108?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.05 - -1. Let x = 1.894 + -2.144. Let q = h + x. Put q, -1, 2\/11 in decreasing order.\nAnswer: 2\/11, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 1:52 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, t: 10, m: 3, z: 3}. What is prob of picking 1 m and 2 p?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 11*n - 14. Calculate s(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 252 - -15. Suppose 4*f - f = q. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 4*t + 3. Let d = -8 - -12. Let g be a(d). Let j(z) = z**3 - 15*z**2 + 3. Let u be j(15). Solve -2*r + g*r = m - u, -r = -5*m + 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - (-1 - -1)) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s + 5. Let d(t) = 8*t - 4. Calculate -4*d(c) - 3*k(c).\nAnswer: -5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 4*x + 22 = -8*l, -5*l = 5*x - 25. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + (11 - 16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 6348077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 59.87936 millimeters?\nAnswer: 0.00005987936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3 - b**3 + 9*b**3 + 5*b**2 - 2*b**2 wrt b.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - -7.52.\nAnswer: 36.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841271845.\nAnswer: 5, 11057, 15217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 309068339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895347286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -13490931000 to the nearest 1000000.\nAnswer: -13491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32, 15, -4, -25, -48?\n\"Answer: -a**2 - 14*a + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 845216759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, g: 1, s: 2, p: 2}. Give prob of sequence pgph.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1119 - 1114. Solve -h = -12*w + 17*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1972 divide 56978451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79d43b (base 15) to base 6.\nAnswer: -324354145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 96 = -2*v, 0 = -4*v - 0*v + 2*y - 192. Let j = 88 + v. Calculate the remainder when 51 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/139273518 and 21\/92849012.\nAnswer: 278547036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471 = 4*p - 1117. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 6. Let i = -7 - -1. Let r be (i\/8)\/((-5)\/(-20)). Let w = r - -3. Give n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/180)\/((-1)\/(-82)). Let o = l + 251\/90. What is the common denominator of o and ((-42)\/(-60))\/((-2)\/32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 210\/(-1350) - 3\/(-5). Let m = -1 - -1. Which is the nearest to 0? (a) n (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 82?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.19 - -0.81. Is t equal to -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:22 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-26)\/39)\/((-50)\/(-15)))\/(4\/(-60)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1064209 and 1418?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12568, -12636, -12706, -12778, -12852, -12928, -13006?\n\"Answer: -v**2 - 65*v - 12502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 391627082?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h + 8141 = 80*h + 8609 for h.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7547204.\nAnswer: 2, 7, 269543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -43514488 equal to -43514491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, and 1 t when three letters picked without replacement from atotyyttfyyyfyto.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180 + -1257\/7. What is the closest to 0.05 in 4, y, -0.5, 0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 6*a - 6. Let i(r) = r**2 - 1. Let w(n) = -2*i(n) + x(n). Let v be w(8). Let d = -13 - v. What is the remainder when 20 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.5*-89.841\nAnswer: -494.1255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -0.7. Which is smaller: -0.5 or c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t = 66 - 186. Let k be (t - -17) + (-56)\/8. Solve k*b + 12 = 11*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3320*c - 4692 - 7944 = 1831*c + 1645*c for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -85*d + 75. Let r(p) = -83*p + 75. Let c(h) = -4*r(h) + 3*u(h). What is the first derivative of c(q) wrt q?\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3530 + -3527. Let v = 35\/114 + 1\/38. Suppose 3*u**y - v - u**2 - 5\/3*u = 0. What is u?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c - 50 = 0. Let s be ((-5850)\/8)\/(c\/1600). Round s to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -710*s**2 + s + 2. Let j be k(-4). Let r = -158971\/14 - j. What is the common denominator of r and 37\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 70. Let s = -28 - j. Suppose -90 = -0*f - s*f. Solve 5*t = 5*z - 10, -z + 5*z = -t + f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(-19)\/(n**(-1\/2)*n**(-5)) assuming n is positive.\nAnswer: n**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 2*x - 140 + 134.\nAnswer: -2*x + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/((-36)\/(-16)) - -2. Sort g, -3, -12 in decreasing order.\nAnswer: g, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 - -80. Let b(v) = -2*v**3 - 3*v**2 + 3*v + 3. Let z(p) = 2*p**3 + 2*p**2 - 2*p - 2. Give w*b(o) + 6*z(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 11. Let l be j(9). What is the lowest common multiple of 126 and 8 - (-4)\/((8\/4)\/l)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l**6\/l)\/l))\/(l*l\/(l\/l**(-1\/12))))\/((l\/(l\/l**(-13)))\/l**(-5\/4)))**(2\/15) assuming l is positive.\nAnswer: l**(41\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549440.013 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/7594957?\nAnswer: -5\/7594957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9969014 is divided by 712071?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 6*f - 10. Let x be z(-3). What is the tens digit of (59\/(-2))\/((-13)\/x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-3*(-15)\/9. Solve -120 - 105*b**3 - 28*b**2 + 38*b**2 + 60*b**2 + 40*b**4 + 100*b - d*b**5 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + p**2 - p. Let o(z) = 8*z**3 + 7*z**2 - 6*z + 1. Let n = 42 + -40. Suppose 0*d = -2*d - n*t - 14, 0 = d + 3*t + 17. Determine d*o(h) + 14*a(h).\nAnswer: -2*h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 282840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4618*g = 4646*g + 28 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96301\/748 + -515\/4. Let y = r - 2037\/3740. Calculate the common denominator of y and 113\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, c: 2, n: 6}. What is prob of picking 2 a and 2 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**16*c\/(c\/(c\/c**(-1\/11))*c)*c assuming c is positive.\nAnswer: c**(188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 12, -12*r + 15 = -16*r - 5*f. What is the third smallest value in -3, -48, r, 1\/10, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + -3*sqrt(75) - (2 + (0 + sqrt(75) - sqrt(75))))*1 + 3)**2.\nAnswer: 270*sqrt(3) + 6084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**6\/120 - u**5\/15 + u**4\/24 + u**3\/2 + 52000*u**2 - 3*u. Let l be 47\/(-9) - (-2)\/9. Give x(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + sqrt(612) + -3 + -2)*-1)**2.\nAnswer: -120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 7*q**2 - 2*q + 10. Let o be r(7). Which is the biggest value? (a) 5 (b) -3 (c) o (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.78 - 8.78. Let b be (-1)\/(-2) - (-6)\/(-12). What is the closest to b in -2\/7, -2, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/60)\/((-21)\/(2100\/(-8)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 39?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g + 1. Let w(u) = -1268*u + 4. Give 3*c(f) - w(f).\nAnswer: 1235*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*t**3 - 9*t**2 + 7*t + 24 wrt t?\nAnswer: 54*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 605\/7 bigger than -1959\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*l - 1468*l - 352*l - 629*l - 824*l as t*l + n and give t.\nAnswer: -3300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*49.7\nAnswer: 11.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:42 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/426 and -53\/279?\nAnswer: 39618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/13*(-2)\/(-4). Let h = -101.161 - -100.161. What is the closest to -2\/3 in 0.5, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2 - (-3 - -4)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 4*h**2 + 4*h - 11. Let i be z(-5). Let f be (-78)\/5 - 2\/5. Let d = i - f. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i - 22. Let z be s(-9). Let w = z + -10. Solve w*l = 2*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59039 (base 11) in base 13?\nAnswer: 2ca3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -9189\nAnswer: -11\/9189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/12 - f**3\/3 - 5*f**2\/2 + 6*f. Let c be t(3). Let g be c\/10 - (-182)\/1085. Is 0 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3751, 7502, 11253, 15004, 18755?\n\"Answer: 3751*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -760*t + 760*t + 6*t**2. Let o(s) = -3*s**2. Give n(o(g)).\nAnswer: 54*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -141 divided by -47\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 7*y + 5. Let o be (1\/(-2))\/(y\/2). What is the units digit of (1 - -5) + 0\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 3*l**2 + 3*l - 4. Let d be h(3). Let r be 11\/4 + 4*d\/80. Is r\/10*(-25)\/(-30)*1172 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 3:35 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1. Let f(v) = v**2 + v + 4. Suppose -15*d = -10*d, 10 = 2*y - 4*d. Suppose -y*m - 4*q = 20, m + 5*q = 3 - 7. Calculate m*a(l) - f(l).\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 + 4906*n**3 + 11399.\nAnswer: 8*n**3 + 14718*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13232 = 22*t - 40248. What are the prime factors of t?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -12, -56, -124, -222, -356, -532?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2. Let z be (-1)\/2*0\/(-2 - 6). Let q be (-7 - -4) + (z - -5). Let l(i) = i**q + 16 + 17 + 0*i**2. What is l(f(s))?\nAnswer: s**4 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*l**2 - 177*l**2 + 0*l + 0*l.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-4)*2\/5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**3\/3 - p**2 + p. Suppose -24 = -1358*g + 1355*g - 3*n, 3 = -n. Let c(v) = 6*v + 5. Give g*a(h) + 4*c(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*l**3 - 22*l**3 + 476*l**2 - 422*l**2 wrt l.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (13 - (-1 + 7))) + -3 + (39 - -49).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, 5, 3, 0, -107, -49 in decreasing order.\nAnswer: 9, 5, 3, 0, -5, -49, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 95593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 17*k - 80. Let z be t(8). Let x = 520 - z. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -36*((-10)\/3)\/(-5). Let r = t + 24. What is the smallest value in -5, r, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 4 - 4 + (4*m - m**2 - 4*m)*(-53*m**2 - 40*m**2 + 45*m**2) + (-2 + 2 - 2*m)*(-2*m**3 + m**3 + 3*m**3).\nAnswer: 42*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*84\/112\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.781 - 30.701. What is the second smallest value in a, 0.11, -4, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {l: 6, o: 2, h: 1, m: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from dcctfcfct?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 3*q**3 + 4*q**2)*(3 - 4 - 1) - 2*q**3 + 4*q**2 - 4*q**2 + q**3 + 0*q**3 + 2*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -188*f + 9. What is the tens digit of j(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -11. Let r(f) = f**2 + 4*f + 1. Let h be r(-4). What is the units digit of (-1)\/(d + 1) + h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139.5 + -139. Suppose 0 = 37*k + 24 + 87. What is the closest to 0 in k, -5, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 33. Determine a, given that -42*a**3 - 10*a**5 - 4*a + 16*a**p + 22*a**2 - 14*a**5 + 32*a**4 = 0.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106128914.89999892 - -106128913. Let u = -1.84 + -0.06. Let z = u - l. What is z rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -65, -125, -183, -239?\n\"Answer: g**2 - 63*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - n**3 + n**3)*(n**2 + 2*n - 2*n) - 38630*n**4 + 38630*n**4 - 2364*n**5 + n**5 - 5*n**5 + 3*n**5.\nAnswer: -2367*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663445 and 2770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 152*q. Let j(p) = 123*p. Give j(z(t)).\nAnswer: -246*t**2 + 18696*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 287 - 109 = 0. Calculate the lowest common multiple of g and 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 1118\/5, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2624 + 9.\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 865*q**2 - 4*q - 4. Let x be f(-1). Suppose -1639 = -3*g - x. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20, 40, 60, 80, 100, 120?\n\"Answer: 20*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from gddgddcmdccssdcgg.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 6*h**2 - 9*h + 3. Give q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 117. Let g = r + -65. Let k be 15*g\/(-7)*(-14)\/(-12). Solve 3*v - 5*p = -7, -k*v + 3*p = 2*p + 19 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*o - 17151969 = -75*o - 75*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*k - 2*w + 1, 0 = -2*w - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.238 + -0.228. Let t = -113 + 108. Which is the nearest to -3? (a) -2\/3 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 4*z**2 + 2*z - 6. Let g be c(4). Suppose g*v = 43 + 49. Let u = 806 - 715. Calculate the remainder when u is divided by v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*o - 5*o + 4*t, -5*o - 4*t = 0. Solve 5*n - 3*v - 5 = o, -2*v = -2*n - 13 + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.04 (b) 0.05 (c) -0.27 (d) -2\/15 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2777636?\nAnswer: 2, 694409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -5 - 12) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*d - 6. What are the prime factors of 26\/6 - 2\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 335 + -88. List the prime factors of h.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4831*u = -4861*u + 900 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 25*n - 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2*l = 1918 - 1904, -3*d = l - 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2091 plus 1447266846?\nAnswer: 1447264755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -12*o - 20. Suppose -218995 = -2*h - o*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 2*o**3 - 3*o**3)*(-13*o + 12 - 12) - 2*o**4 - o + o.\nAnswer: 37*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/15 + 2662*k**4\/15 - 513352*k**3\/15 + 500032*k**2\/15 + 2053376*k\/15 - 408544\/3 = 0. Calculate k.\nAnswer: -1502, -2, 1, 2, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 + w - 135. Let h be p(0). Let j = h + 152. Suppose 0 = -2*g + 5*d + j + 6, 3*g = -d + 9. Solve 0*l = -g*l - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 0.2547297.\nAnswer: 2.547297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -2*y - 5*h, -59 + 27 = 2*y + 4*h. Suppose 3*c = 5*c - 20. Sort -5, y, c in decreasing order.\nAnswer: c, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30793 + 9380 = -1127*g for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2612 = 5*l - 3758. Let b = 2228 - l. Is b a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 487, -1598, -5081, -9968, -16265, -23978?\n\"Answer: -d**3 - 693*d**2 + d + 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 526 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1650 = 474. What is the remainder when z is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.76458 nanograms in milligrams?\nAnswer: 0.00001076458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a = -91 + 421 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -22*h. Let c be x(0). Solve 2*v + 3*r + 12 = c, 4*v + 3*r - 2*r = -14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10982*y + 11007*y - 200 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*-2 + sqrt(171) + 0 + 0 + -4 + (3 + 1 + sqrt(171) - sqrt(171) - (-4 + sqrt(171)*3)))**2.\nAnswer: -144*sqrt(19) + 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-47)\/17)*(-4318)\/(-2540).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) 4 (c) 0.4 (d) -2\/3 (e) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - a - 1. Let g(y) = 2*y**2 - y - 1. Let l be (12\/16)\/((-2)\/8). Let w(s) = l*i(s) + 2*g(s). Calculate w(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -9*z + 264. Suppose -d = 3*d - z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12929*a**5 + 241*a**3 + 824434*a - 4?\nAnswer: -258580*a**3 + 1446*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*-2*sqrt(1029) + sqrt(1029)))\/(-5*sqrt(7)*3 - sqrt(14)\/(sqrt(12)\/sqrt(6))).\nAnswer: 231*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -294881131 take away 3.266?\nAnswer: -294881134.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2163 - -2166. Let o(p) = -p**3 + 6*p**2 - 5*p + 5. Let l be o(5). Solve c*z = l*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15049850957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 3769222.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181704772*q**3*s**2 + 2972*q**2*s**2 - 14338*q wrt q.\nAnswer: -1090228632*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13128 + 13131. Let f(i) be the third derivative of 2*i**2 + 5\/72*i**4 + 0 - 1\/360*i**6 - 1\/3*i**q + 0*i + 1\/90*i**5. Factor f(v).\nAnswer: -(v - 3)*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3169 - 2044. Is x a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (9 + -2 + 13 + (-43 + 25 - 5))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.021 (b) 2\/3 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 66893*k - 5284565. Determine l(79).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 277 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**2*z**3 - 127292*s**2*z**2 - 113*s*z**2 + 668*z**3 wrt s?\nAnswer: 4*z**3 - 254584*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27759, -27758, -27757, -27756?\n\"Answer: z - 27760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:01 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*h + i, -4*i = 2*h - 2*i + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 1, -6 in descending order.\nAnswer: 3, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/4 - 15*n\/4 - 17\/2 = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -734 or 0.1708?\nAnswer: 0.1708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(396) + 4 + 0 - -6*(3 + (sqrt(396) - (sqrt(396) + 1))))**2*4.\nAnswer: -768*sqrt(11) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 2:28 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(3\/(-2)). Let g = 2 + -1.9. Let f = -42 - -42.3. Which is the closest to g? (a) f (b) n (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -75*c - 1. Let b be r(1). Let v = b - -127. Suppose 604*f - 322*f + 648 = 318*f. What is the remainder when v is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.6 + 4. Let k = -340 - -426. Let l = k + -86.5. Put f, -4, -1\/7, l in increasing order.\nAnswer: -4, l, -1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 110*g + 4348. Calculate l(-57).\nAnswer: -1922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2268525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834 is divided by 135.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -38864.721 rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -215. Let m = 34 - u. Suppose m = -23*z + 26*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 131*v. Let y(d) = -2*d**2 + 118*d - 155. Calculate c(y(r)).\nAnswer: -262*r**2 + 15458*r - 20305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 666141246 a multiple of 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -16.777\nAnswer: 134.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) -1\/3 (c) 10631.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/60*248\/(-93)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 627147.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8474094t to grams.\nAnswer: 847409.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2028.1224 months?\nAnswer: 0.1690102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1409, 2820, 4231, 5642, 7053, 8464?\nAnswer: 9875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1263 - 116*v + 109*v - 1259 - 1258 + 3780.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*r*w + 230418*r + 641*w**2 - 1 with respect to w.\nAnswer: -63*r + 1282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 6 + (-1)\/(-1). Let x = l - -4. Suppose x = -d - 3*d + o + 21, -9 = -4*d + 5*o. Solve -5 = -d*t + t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(540\/(-15)))\/((-4)\/12*6\/(-192))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1840?\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21745 + 2?\nAnswer: -21743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 156.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69101, 69096, 69089, 69080, 69069, 69056, 69041?\n\"Answer: -z**2 - 2*z + 69104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000136 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 9:08 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 37, 86, 155, 244?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2 - 2)*(-1 - 2 + 4) + 506*o - 20 - 252*o - 252*o.\nAnswer: 4*o - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100555.99892 - -100566. Let g = 0.59 + -10.59. Let k = v + g. Round k to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 25. Let p be 270\/(-20)*(-6)\/(-9). Let u be l(p). Solve -3*f - 1 = -u*n, 0 = 7*n - 4*n + 4*f + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by -75.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -34*r - 35. Let z be m(-2). Calculate the remainder when z\/(((-13)\/52)\/(4\/(-6))) is divided by 2\/7 + (-124)\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 475463998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883 is divided by 58.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.61639 and 3830105?\nAnswer: 3830112.61639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5824 + 5823.8705. Which is the second biggest value? (a) 0 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + 160\/(-36))\/2. Sort f, -1\/3, 5.\nAnswer: -1\/3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23+-312170722439\nAnswer: -312170722439.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Suppose c - 10 = -y*c. Is 3 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009175 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-9) + (-5 - (-11643)\/27). Let r = -160 + -51. Let p = q + r. List the prime factors of p.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a week in minutes?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s + 46. Let j(z) = z - 15. Let r(a) = 7*j(a) + 2*k(a). Let t be r(-5). Solve 4*g - 7 - 3 = t*x, g - 7 = -x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19\/128 - -5151\/640. Find the common denominator of -53\/12 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1050?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.2 + 15.2. Which is the third biggest value? (a) 3 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 60 = -3*t. Let a = t + -21. Calculate the least common multiple of a and (-2)\/1*20\/(-40).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dcad (base 16) in base 4?\nAnswer: -131302231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, 0, -0.3, -1958?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/16 - 7\/16. Let w = -3 - -3.1. Let u = 5 - 9\/2. Sort u, q, w in decreasing order.\nAnswer: u, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**2 + 14*a**2 - 159470857*a + 159470860*a - 28*a**2.\nAnswer: -a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3411 is divided by 449.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 2) + (-15)\/9*(-3642)\/10. What is the highest common factor of 1376 and f?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*l - 1310 - 6126 = -1100 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36798 and 0.1.\nAnswer: -3679.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/5*f + 0 - 4\/5*f**3 + 36\/5*f**2 - 4\/5*f**4.\nAnswer: -4*f*(f - 3)*(f + 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1954403.109 - -1954576.1089926. Let t = r - 173. What is t rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -31*c. Let o be (-6)\/(-12) - 5\/2. Let n(z) = -z + 1. Let x(q) = 1. Let k(a) = o*n(a) + 2*x(a). Give r(k(y)).\nAnswer: -62*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(1300))*1*3.\nAnswer: -6 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 f, and 1 o when three letters picked without replacement from {o: 1, f: 7, q: 4, p: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k = 60*k + z - 11, 4*k = -3*z + 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 71 + 0*g + 35\/2*g**2. Let r(q) = -5*q**2. Calculate r(u(p)).\nAnswer: -6125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 664841399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 10, -i - 2551104 - 2009892 = -2*y. What is i rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 56.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhbb when four letters picked without replacement from {h: 3, a: 5, b: 3, q: 1, d: 1}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 7*m + 10. Let n be y(2). Suppose 0 = -5*t - 20, -n*c + 1076 = -4*t - 1400. What are the prime factors of c?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5)\/h)**(-1\/12)\/(((h\/(h**(-4)*h)*h*h)\/h)\/h)**(1\/23) assuming h is positive.\nAnswer: h**(-17\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4007140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1204, 1209, 1216, 1225, 1236?\n\"Answer: u**2 + 2*u + 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2952 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -1\/3*f**3 + 0*f - 14 + 4*f**2. Find the second derivative of q(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47498390.066 + -47453757. Let x = 44592 - q. Let f = -41 - x. Round f to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48a - -2a?\nAnswer: 4b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 2*z - 3. Let o(h) = -4*h**2 - h + 2. Let v = -11 - -9. Let t(c) = v*o(c) - 3*f(c). Let p(q) = -3*q**2 - 3*q + 4. Calculate 5*p(y) - 4*t(y).\nAnswer: y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187877 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -87 and -0.7?\nAnswer: 60.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 8*s = -2192. Suppose 5*u = -s + 1129. Suppose 601 = 5*c + u. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times 99?\nAnswer: -10.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 1323?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 28. Suppose -c + 3*c - 5*f - 6 = 0, 9 = 3*c - f. Suppose 24 = c*o + o. Calculate the remainder when v is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f + 27. Let t be z(4). Suppose -4*l - t*p - 10 = -p, 4*p + 2 = -2*l. Which is the third biggest value? (a) l (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -62*c + 1672. Let t be i(27). Sort -93, t, -4, -3 in ascending order.\nAnswer: -93, -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14425 to three decimal places.\nAnswer: 0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9817921 divided by 76?\nAnswer: -9817921\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10719 is divided by 1917.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (2 - 0) - (-30)\/9. Let y(f) be the second derivative of 1\/8*f**4 + 2*f + 0 - u*f**3 + 1\/4*f**2. Solve y(o) = 0 for o.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - p + 160 + 0*p - 337.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 13 + 5. Let y be 683\/3 - (51\/v - 5). Let q = y + -131. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4256 - -0.0256. Let l = -54 - -54.3. Put l, -2, 1\/5, h in decreasing order.\nAnswer: l, 1\/5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (138 - 66 - 38)*(-3*i - i + 3*i) - 8*i - 2 + i + i.\nAnswer: -40*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 - 15884*z\/7 + 31537682\/7.\nAnswer: 2*(z - 3971)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161049973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-3)\/(-6))\/(38 - 368\/16)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 498*p**3 - 10 + 12*p**2 - 210*p**2 + 142*p**2 wrt p?\nAnswer: 2988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16666381*v + 4332105*v + 2704230*v.\nAnswer: 23702716*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxjr when four letters picked without replacement from {x: 1, j: 7, r: 10}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -297? (a) -3 (b) -2 (c) -0.035 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 148045 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 117220.114 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1085.677 meters to nanometers.\nAnswer: 1085677000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgv when three letters picked without replacement from vgsvosovvoooososvs?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*(-3)\/(-9 - -3). Let m be (7 - 9 - -8)\/((-9)\/6). Which is the nearest to h? (a) m (b) 2\/71 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -50392.129\nAnswer: 20156.8516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 + 1104 = 10*b. Suppose -4*r = 5*x - 87 + 19, -3*r + 23 = 2*x. Calculate the greatest common divisor of b and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25585 and 2364355?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a. Let y(c) = -7*c**2 - 80*c. What is y(z(u))?\nAnswer: -28*u**2 - 160*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {d: 1, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4252 by 2126.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-1 - (0 + -4)) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34350 by -25.\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-21)\/g*g)\/(g\/g**13))**(-11\/7) assuming g is positive.\nAnswer: g**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80788343?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 62759.29+-1.21\nAnswer: 62758.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**4)**(-47)*(u**0*u)**5)**(-8\/7))**(-5\/6) assuming u is positive.\nAnswer: u**(-1220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2719311414.09 and 72?\nAnswer: 2719311486.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 + 19 + 4 - (4 + (-1 - 2 - -3))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121197 - -121274.0231. Let b = 245 - 168. Let n = q - b. Round n to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12010202001 - -11?\nAnswer: -12010201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvhhhqvhh. What is prob of sequence hhv?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -31?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 7*m + 12. Let q be g(9). Solve 0 = 2*i + i + 9, q = 3*k - 5*i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, 6.\nAnswer: 0, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.476 + 4.3. Let i = q - -119.176. Let t = i + -119.00000069. Round t to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 52932, 120, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.06 (b) -0.5 (c) 4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*a - 1126 = -180*a + 3815. What is the greatest common divisor of 5307 and a?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(396) - (sqrt(396) + -2 + -1))*-4)**2.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 296\/3*s**2 - 94*s + 40\/9*s**4 - 326\/9*s**3 = 0. What is s?\nAnswer: 3\/20, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 34*z**2 + 101*z - 98. What is c(1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 161533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.7103982 to two decimal places.\nAnswer: -12.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/3 and -62\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1980\/(-300))\/((6\/(-20))\/((-9)\/27*9)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 85050.8 to the nearest one thousand.\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -212616430 to the nearest one hundred thousand.\nAnswer: -212600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 48*f - 10697 = 45*f, 0 = -4*d - 5*f + 10703. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -188*t**5\/9 + 22390*t**4\/9 - 678754*t**3\/9 + 719210*t**2\/9 - 6962*t = 0. What is t?\nAnswer: 0, 9\/94, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 807, 1815, 2823, 3831, 4839, 5847?\nAnswer: 6855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1650*-92.68\nAnswer: -152922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111848 and 1474.\nAnswer: 7493816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/66*((-27)\/(-12) + -3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.7 minus 926?\nAnswer: -875.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 168700*v - 12291. Let w(i) = 247*i - 18. Give -6*c(o) + 4097*w(o).\nAnswer: -241*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**4\/24 - 38*o**2. Let i(d) = 2*d**2 + 58*d. Give k(i(q)).\nAnswer: 2*q**2 + 58*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 4*g**2 - g**2)*(0 + 1 - 2) - 19634*g + 19634*g + 507*g**2.\nAnswer: 509*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from cacaacmaaaarcrcmaca.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 9*v - 33 = -5*o - 5*v, -8 = 4*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5 + 0 - 1\/2*j + 3\/2*j**3 + 1\/2*j**2 - 1\/2*j**4 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4696 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.4, -0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 796 or 0?\nAnswer: 796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1660354 = -235*y + 382501. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**7\/840 - v**5\/120 + v**4\/24 - 5*v**3\/3 + 5*v**2\/2 + 257. Let x(u) be the third derivative of a(u). Calculate x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 967 + -400. What is the greatest common divisor of 63 and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/6 + 1\/2. Let w(j) = -4 + 7 - 2 + 5 + j. Let i be w(t). Is i greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(((j*j**(-7)*j*j)\/j)\/j)\/j)\/(j\/j**(-6\/7))*(j\/j**(-13))\/(j**(-2)\/j) assuming j is positive.\nAnswer: j**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 7)*(-4 + 4 + 2*t)*(3*t**3 + 100*t**2 - 100*t**2 - 4*t) as o*t**2 + c*t + m*t**3 + z + d*t**4 and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 + -0.04. Let m = 0.525 + -0.025. Which is the nearest to l? (a) -0.05 (b) -1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-27)*(-132)\/11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8110*r. Let h(v) = -30*v**2. What is i(h(w))?\nAnswer: 243300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2851?\nAnswer: 22808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/12374436 and -23\/60.\nAnswer: 61872180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.29 + -0.29. Let t = v - 14. Which is the closest to 1\/4? (a) 3 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c2 + -1?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 17*i**5\/20 + i**4\/3 + 2*i**3\/3 - 3*i**2 + 780*i. Let c(r) = -r**3 - r**2 - r + 1. Give -4*c(u) - l(u).\nAnswer: -13*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 627 + -285. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {l: 6, c: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = 0. Suppose m - 10 = -g*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 829 in -2, -1, -1\/6, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -63967463?\nAnswer: -2\/63967463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 1\/2*t**4 + 0 + 0*t**2 + 0*t**3 + 4*t - 4\/5*t**5. What is the third derivative of h(b) wrt b?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/20 and 119\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 17322?\nAnswer: 155898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(3 + 1 + 1)*(-2*t + 0*t + 0*t) in the form b + r*t and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**6\/6 - b**5\/4 + 21*b. Factor z(y).\nAnswer: 5*y**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((210\/14)\/(99\/3))\/(15\/15)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2886 and 555.\nAnswer: 14430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12395424 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3287987 - -4.15\nAnswer: -3287982.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16051, -16922, -17783, -18628, -19451, -20246?\nAnswer: -21007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.8055 take away -174402?\nAnswer: 174391.1945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69.1 + 66. Let g = t - -3. Let u = 4 - 3.6. What is the third smallest value in u, g, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2. Let k(m) = 3*m + 8. Determine k(h(b)).\nAnswer: 9*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 120 + r - 3*r + 3*r - 124. Let v(d) = -d + 7. Calculate -5*b(m) - 3*v(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 201 in -5, -82, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780\/(-2)*(-18)\/45*2 and 72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.1 and -6923.6.\nAnswer: 35310.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/2 - -3\/14. Let m(h) = -3*h**3 + 103*h**2 - 33*h - 29. Let k be m(34). Which is the biggest value? (a) k (b) -1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.1 (c) 0.41 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 - 70669\/68. Let g = k - -1988. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1008) + 2)*6.\nAnswer: 36 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 292\/3507 + 2\/167. Let m = -239 - -241. Suppose 0 = -5*n - 2*d - m - 3, n - 4*d = -23. Put l, n, 0.2 in decreasing order.\nAnswer: 0.2, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6536\/516)\/(2\/225) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 341718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-37)*((-17)\/(-6))\/(-17)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/405 and 5\/1143.\nAnswer: 51435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + -0.03. Let h = 1 - o. Which is the closest to -1\/2? (a) -3 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 19, 20, 31, 58, 107?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010 (base 4) in base 14?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y - 5. Suppose 2*h - 5 = -n, 3*n = -2*n - 2*h + 17. Let u(p) = -2*p - 2. Give n*b(k) - 7*u(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 30*d**2 - 10*d - 30. Determine t(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -24*a - 1700. Let x = a + 186. What is the tens digit of 34\/(-4)*x\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143458*k**3 + 286906*k**3 - 143445*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 244.2 - 244. Which is the second smallest value? (a) 38 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -484 + 694. List 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: Is 24544 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 3)*(-1 + 2 + 8)*(-1 - 3*g + 1).\nAnswer: -162*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 49 = 23. Let t = y + 18. List the prime factors of t\/45 + (-227)\/(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -c - 3*x, 12 = -5*x - 3. Let b be (-5 - -4 - -3) + -3. Sort b, c, -2, -3 in descending order.\nAnswer: c, b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7169 - -7169.5. Which is the biggest value? (a) -1 (b) n (c) 5 (d) 1\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1270, 1271, 1272, 1273?\n\"Answer: y + 1269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from sqrkrqjsjssjsjd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 5:14 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 11*t**2 - 4. Let w be y(11). Let u = w + 8. Suppose -q = q - u. Solve -22 + q = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 7. Let n be y(-4). Let d = -3 + n. Suppose d = -2*w + 19 + 1. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - i - 3 = 0, x + 2*i - 130 = -124 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Let j be 3\/3*(0 + c). Let v(r) be the third derivative of -r**5\/60 + r**4\/8 - r**3\/3 + 2*r**2 - 4*r + 534. Calculate v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 69?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.522 times -4?\nAnswer: -1514.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77304 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6 + 1\/(-2). Suppose 13 = 3*u - 92. Let a be (-2)\/(-7) + 5\/u. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 21. Suppose y = -3*f + 2*g + 120, -4*f + 120 = -f - 4*g. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -4907362\nAnswer: -4\/2453681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 46*v**2 + 90*v + 2024. Let i be h(-45). Sort 2, i, 0, -4, 239 in ascending order.\nAnswer: -4, i, 0, 2, 239","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 6*i + 15. Let v be m(8). Let p = 34\/7 - 1272\/259. Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -259\/415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-u - 4*u + 2*u)*(1 + 0 + 0) + 0 + 0 + u)*(0 + 0 - 9 - 2 - 1 + 1 + (1 + 1 - 3)*(3 + 2 - 4) + 1 + 1 + 0 + 1 + 1 + 0) to the form y + s*u and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 109945643 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y + 31. Let u be b(3). Is ((-5)\/u)\/((3 - -1)\/(-100072)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 x, and 2 w when four letters picked without replacement from {w: 4, x: 1, c: 1, j: 5, q: 1, v: 1}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 - 28 = -52*n. Put n, 6, 14, 3 in descending order.\nAnswer: 14, 6, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n**2 - 10 - 3 + 7*n**2 + 4*n**2. Let x(u) = -7*u**2 + 4. Let c = 2085 + -2083. Give c*y(s) + 7*x(s).\nAnswer: -5*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072771936.\nAnswer: 2, 167, 397, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**3 - 5*l**2 - l + 7. Let q be o(-3). Suppose -4*b - 1 = -q. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*d = -29*d - 94. Calculate the highest common factor of 63 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2127, 16950, 57179, 135516, 264663, 457322, 726195, 1083984?\n\"Answer: 2117*m**3 + m**2 + m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.294 or -22\/21?\nAnswer: -22\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40210306.\nAnswer: 2, 1249, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/((1 + 1)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60117656.\nAnswer: 2, 1193, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 665*k.\nAnswer: -5*k*(k - 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877728.\nAnswer: 2, 58679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1303, 5265, 11879, 21145?\n\"Answer: 1326*m**2 - 16*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17224 is divided by 5707?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 13*m - 15*m - 9, 0 = 5*b + 4*m + 29. Which is greater: -1569 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1006.8 + 1007. Let a be 3\/((-5)\/(15\/21) - -2). What is the closest to v in 0, -3, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.0007 - 42. Round s to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - l + 3*l)*(20 - 6 - 9).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v - 4*t = 154, 5*t - 98 = -v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*o**3*r*v + 21*o**3*v**2 + o**2*r*v + 2*o*r**2 - 3*r**2*v**2 - 668*r**2*v + 97*r*v**2 wrt v.\nAnswer: 42*o**3 - 6*r**2 + 194*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 11961.\nAnswer: -11\/3987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 151, 338, 559, 820, 1127?\n\"Answer: i**3 + 11*i**2 + 147*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -354 - -142. Suppose -229*b = -225*b + 844. Which is smaller: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 10*i**2 + 13*i - 9. Let l be n(11). Let k(g) = g + 17. Is k(l) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 80*k**2 + 241*k + 662. Give t(83).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 7:41 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 47. Suppose -159 - 145 = -c*g. Suppose -g = -4*i + 192. Is i a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -5608 + 235573\/42. Calculate the common denominator of r and -79\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and -0.074?\nAnswer: -2.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80076*f**4*j + 2*f**3*j**2 - f**3 + 5*f**2*j**2 + f**2*j + 1918*j**2 + 3*j + 4 wrt f.\nAnswer: -1921824*f*j + 12*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 - 0.0279\nAnswer: 1.7721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3075 - 23?\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 10*z + 3. Let n(g) = -3*g**2 + 29*g - 8. Let c = 21 - 18. Let t(l) = c*n(l) + 8*s(l). Let r = 8 + -2. Calculate t(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160.4 - 146. Let y = -34 + 19. Let h = y + x. Which is the third biggest value? (a) h (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:28 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 36*f - 4 = 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6072 + 9287. Suppose 3*b - 5*i + p = 0, 3*b - 4*i + 2228 = -986. What is b rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -207*g**4 - 119?\nAnswer: -828*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (294\/63945*174)\/((-1)\/(-5)*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in microseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 187064, -5, 2\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**3 + 8450583*m**2 + 5951025194697*m - 5951033645283 = 0.\nAnswer: -1408431, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/15 and (143\/39)\/((-3)\/5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - 77 - 6*r**3 + 4*r**3 + 14*r**4 - 14*r**4 to the form h*r**2 + u*r + x*r**4 + n + f*r**3 and give n.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989 - (-10)\/(-1 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-2)\/(-4) + 0). Let z(l) = 25 + l + 2*l - l**k - 4*l. Is z(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 131005 = -12*d. Is 33 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36100.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.880857ns to minutes.\nAnswer: 0.00000000001468095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 - -83. Let l = -5 - -7. Suppose 0 = i - l - 9. What is the remainder when i is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 2*d**3\/39 + 599*d**2\/13 - 1200*d\/13 - 4048. Factor s(o).\nAnswer: 2*(o - 1)*(o + 600)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 779296642.\nAnswer: 779296641.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*n**2 - 235*n - 75*n**2 + 2*n**3 + 23*n**2 - 81*n**2 + 21*n**2 wrt n.\nAnswer: 12*n - 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.36, 0?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5827.684 rounded to the nearest ten?\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - o**2 - 7*o + 3*o + 2 - 2*o**3 in the form z*o + s*o**2 + n*o**3 + d and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrffr. What is prob of sequence rrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 2034?\nAnswer: 2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22741917071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 6*m - 5. Let n be l(-7). What is the greatest common factor of 14 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*g + g - 8*g + 0 + 0 + g + (-2*g + 0*g + 4*g)*(-5 - 4 + 5) + g - 4*g + 0*g)*(0*g + 0*g - g) to the form y*g + r + k*g**2 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 208227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -128, -144, -192, -284, -432, -648, -944?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4401*v - 3391*v = -15150. Let s(o) = -o**3 + o**2 + 2*o - 3. Let b be s(3). Is v greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -3.809.\nAnswer: 1.1427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**17)**5)**(2\/67))**(-28\/3) assuming t is positive.\nAnswer: t**(-4760\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goog when four letters picked without replacement from ronogrorrrrgor?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 2136\/49?\nAnswer: 2136\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*u**5\/6 - 459*u**4\/2 + 1687*u**3\/6 - 137*u**2\/2 - 88*u\/3 - 2 = 0.\nAnswer: -2\/17, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32748169 to the power of 1\/2, to the nearest integer?\nAnswer: 5723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -2. Let u be (-22)\/4 + (-1)\/h. Let g = 48 - 46. Sort u, g, 2\/7.\nAnswer: u, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 520 + -567?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 450700 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3756*k + 5186*k - 1737*k + 2149*k to the form v*k + q and give v.\nAnswer: 9354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*i + 3. Let f(r) be the first derivative of 0*r - 3 + 3\/2*r**4 + r**2 + i*r**3 + 2\/5*r**5. Determine u so that f(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1926960 is divided by 2022.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 9. Let a(d) = -d**3 - 13*d**2 - 9*d + 11. Let i be a(s). Let g = 82 + i. What is the remainder when g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 8*l**2 + 4. Let i be c(-8). Let v = 12 + -11. Put 6, i, v, -5 in descending order.\nAnswer: 6, i, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680036842 and 2152.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7*((-6440)\/(-120))\/(-23)*(-30)\/4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.2 - -6. Let s = b + -0.5. Let h = -0.4 + s. Sort 0, h, 2\/9 in increasing order.\nAnswer: h, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 + 46\/6. Let w be ((-3)\/(-12))\/(1\/k). What is the third derivative of w*i**5 - 5*i**5 - 4*i**5 - 2*i**5 - 11*i**2 wrt i?\nAnswer: -540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 52 + 95 = 7*g, 0 = 4*l + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.25 - 13. Let u = l - 0.05. Round u to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 times 803\nAnswer: -281.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-2)\/(-1 + -1). Let k = -401 + 398. Sort -4, k, y in descending order.\nAnswer: y, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6485 - 5125 = -10*b. Suppose 4*h - b = h. What is the remainder when h is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49221?\nAnswer: 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0*q**5 + 0 + 0*q**3 + 0*q**6 + 5\/12*q**4 + 4\/105*q**7 + 0*q - 10*q**2. What is the second derivative of x(a) wrt a?\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.7 - -3. Let p = 731\/972 - 1\/486. Which is the third smallest value? (a) -0.14 (b) 1 (c) p (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 + 18 = 0. Let n(j) = j**2 - 2*j - 20. Let f be n(p). Solve 4*d = -3*v + 4*v + 3, -d = f*v - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, -0.2, 2\/5, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -215.4963886 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -3*s**8\/8 - 25*s**7\/42 + s**5\/20 + s**4\/6 + 62*s**3\/3 + 1169*s + 2. What is the third derivative of a(m) wrt m?\nAnswer: -2520*m**3 - 1500*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 4*x**2 - 3*x + 2. Give l(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2076 and 702.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 7:26 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 1\/4, -1.67?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/(-64) + 3609\/12 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -r + 31, -36 = -r + 51*b - 55*b. Calculate the remainder when 149 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/904 and 61\/6.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5 + 171792\/88 + (-12)\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 40 = s, 3*s + 3*j = s + 60. What is the tens digit of (876\/s)\/(1\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 186369810.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-64)\/10)\/4)\/(30\/4275*19)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721976304.\nAnswer: 2, 3, 7, 2148739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**4 - 14829*q**3 - 469343*q**2 + 1824270*q = 0.\nAnswer: -35, 0, 7\/2, 7446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 8. Let h be w(-7). What is the second derivative of -36 - 10*r + 73 - 37 + h*r**2 wrt r?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 282912.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749*v = 711*v + 190. Suppose 2*f = 2*n + 186, -3*n - 2*n + 381 = 4*f. Suppose -2*a - 3*r = -f, v*r - 3*r + 273 = 5*a. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402284 = 4132*f + 3595*f + 7701 - 161761 for f.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 14*k**2 - 48*k + 46. Determine s(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.74 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1164)\/(-970) + (-4)\/10)*4.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.04 + 44. Let f = -0.21 - m. Let q = f + 0.5. Round q to 2 decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -331 at most -330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 2 + sqrt(162) + sqrt(162) + -1 + sqrt(162) + (sqrt(162) - (sqrt(162) + -1))*6 + -2)**2.\nAnswer: 360*sqrt(2) + 2617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, n: 4}. Give prob of sequence llnl.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - 6*p)*(6*p**2 + 6*p**2 - 13*p**2) + 4*p**3 + 0*p**3 + 3*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 10647.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 7*w**2 + 5*w**2 - 21 - 5*w**2 + 21 + 0*w**2 - w**2 - w**2 + (-2*w - 3 + 3)*(2*w - w + w) + 3*w**2 - 2*w**2 - 2*w**2.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 q, 1 y, and 1 s when four letters picked without replacement from {y: 1, l: 1, s: 1, a: 1, q: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 2. Let a be w(9). Let q be (-5)\/(44\/a - -2). Is 183\/5 - (-10)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1462*t + 19175 = -352*t + 339*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l + 75 = 19*l. Put l, -1, 1\/2, 0.2 in increasing order.\nAnswer: l, -1, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203983 or 203870?\nAnswer: 203870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011 (base 2) in base 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 12:08 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -944 + -0.5\nAnswer: -944.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 13, g: 6}. What is prob of sequence ge?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 121?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 3:29 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5 - -89 - 1*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9109109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1163162*b**5 - 117*b**4 + 3809*b - 5407.\nAnswer: -23263240*b**3 - 1404*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/5 - 1165314*k**2\/5 - 2330622*k\/5 - 233062.\nAnswer: -2*(k + 1)**2*(k + 582655)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18872 is divided by 59.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-159)\/(-424) - (15\/(-8) + 1)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/100 of a century in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4*w**3*z**2 + 10344*o**3*w**3*z + 8*o**2*w**2*z**2 - 66*o**2*z**2 + 3*w**3 wrt o.\nAnswer: 24*o*w**3*z**2 + 62064*w**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = v + 26, -3*v + 32 = -4*n - 51. Let t = 28 + n. Calculate the remainder when (-23)\/(-2) + 145\/(-58) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -96, -114, -166, -270, -444, -706, -1074, -1566?\n\"Answer: -3*g**3 + g**2 - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 214.165 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1905 + 3330. Let t = 24240\/17 - i. Is 1 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 467734\/5 - 93534. Suppose 0*c + 1728\/5 - 288\/5*c**2 - x*c**3 - 4\/5*c**4 = 0. Calculate c.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*k - 119322 = 208*k. Calculate the remainder when k is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7 - (-6 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2892253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13454 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*q**2 + 3*q**4 - 27*q**2 - 1 - 2*q**4 + 0*q**4 + q**4 + (0*q + 0*q - q**2)*(0*q**2 + 2*q**2 - q**2) + q**4 - 5*q**4 + 0*q**4.\nAnswer: -3*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314772769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -25543341054?\nAnswer: -25543341100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1688 - 1512. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2638*b**2 + 2638*b**2 + 175147*b**3.\nAnswer: 175147*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v**3 + 1141*v**2 + 1149*v**2 - 2290*v**2.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -13 - 4*a + a**3 + 4*a + 5*a - 16*a - 12*a**2. What is the units digit of k(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6139*n - 6140*n + 25 = -3*z, z - 126 = -4*n for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 3910?\nAnswer: 222870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438985287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2*2\/2)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.547 and 51?\nAnswer: 51.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*b - 396, -b + 2*b - 94 = -z. Calculate the lowest common multiple of b and 154.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 46. Let b(d) = 87*d - 23 + 20*d**j - 5*d**2 - 22. Let u(g) = -44*g**2 - 260*g + 136. Let c(f) = 16*b(f) + 5*u(f). Factor c(v).\nAnswer: 4*(v + 5)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699168513 to the power of 1\/2, to the nearest integer?\nAnswer: 41221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(0*l - 2*l + 3*l) - 8*l - 7 + 7 + 3*l + l + l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*b = v + 16, -2*v = -2*b. Suppose 0 = -c + 2*j + 3, -3*c - 4*j = c - 12. Let d(q) = 3 - c + 0 + q**v - 2*q. Calculate d(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, -0.3, -22, -37, 1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4212104 rounded to 1 dp?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 2. Let d be 800004\/i - 1*-2. What is d rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/60 + 4*2\/(-20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 8:37 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583666843.\nAnswer: 583666843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Suppose 7 = 5*w - 3. Suppose w*u - 42 = -m, 2*u - u + 4*m = 14. Let o(z) = 4 - 4 - 23*z**2 + u*z**2. What is q(o(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1503 + 717. Let m be (t\/(-4))\/(6 - -3). Which is greater: 21 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*z**2 - 310*z + 310*z)*(0 + 0 - 1).\nAnswer: 52*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-783)\/((-36)\/(-4)))\/(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 3*x**2 + 10*x + 17. What is v(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 - -1.8. Let h = -8 - -7.8. Sort o, -0.3, h, -3 in ascending order.\nAnswer: -3, -0.3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 + 45912*b**2 - 183732*b - 551088 = 0. Calculate b.\nAnswer: -15308, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430629*l**3 - 215323*l**3 - 215312*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -161*u + 95. What is the tens digit of c(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:17 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r - 11. Suppose 3*p = 3*u - 51, -3*u + 3 = -4*p - 46. Let c be n(u). Let z = -63\/2 + c. Is z less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - -11.9. Let l = 9\/2288 - 4711\/34320. Which is the second biggest value? (a) 0.5 (b) -0.1 (c) l (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598344 is divided by 42738?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 83332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 309696 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.092, -4, -1488, 5?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*v**5 + 0*v - 2\/7*v**3 - 2\/7*v**2 + 0 + 2\/7*v**4.\nAnswer: 2*v**2*(v - 1)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 1. Let t(a) = 3*a**2 - 6*a + 5. Let y(s) = -4*p(s) - t(s). Give y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 19*v**2 + 15*v - 15. What is c(-18)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -38. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1153\/19 - 36403\/304. Which is smaller: y or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (370\/(-8))\/(7\/(-3)*(-30015)\/112056)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(6))\/sqrt(3))**2*4 - sqrt(77)\/(sqrt(55)\/(sqrt(80) + sqrt(5))).\nAnswer: -5*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8 + 14 - 3*k**4 - 6*k**4 + 3*k**4 wrt k?\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:01 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1179 - 1178. Let v(q) = 3*q**2 - 5*q + 2. Calculate v(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3595 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 260950 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: Simplify 1 + sqrt(684) + -4.\nAnswer: -3 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 2*l**2 - 2*l - 5. Give y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -710133 (base 8) in base 3?\nAnswer: -102212101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/(12\/160). Suppose -2*t + f = -0*z + 4*z, 3*t - 5*z + 14 = 0. Solve -o + t = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 44\/7, -0.4, 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 123*a**3*x**2 + 601*x**2 wrt a.\nAnswer: 369*a**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 11*y. Let h be q(-4). Suppose h*g - 1 - 3 = 0. Let v be 7 - (1 + (-7 - -10)). Solve v*c - g = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let p(h) = -2*h + 3. Let m(s) = -2*d(s) + 2*p(s). Suppose -t - 6*w + w = -27, 3*w = 4*t + 7. Suppose 5*c - t*c = 15. Determine m(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g - 3 = 3*o, -2*o - 2 = -3*g. Find the second derivative of -u + g*u**4 - 2*u - u**4 wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -2 + 10 - ((-703)\/19 - -48)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-4*(-6)\/24. Which is smaller: n or 11\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10114 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 1. Let u be h(-1). Let l(g) = -g**2 + 3*g - 4 + u*g + 2*g. Let r be l(4). Solve q = 2*b - r - 5, -12 = -4*q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 7*v + 9. Let b be t(6). Suppose g = -b*g + 20. Solve -g*d = 4*u + 12, 5*u = 3*d - 0 - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -273, -569, -865, -1161?\n\"Answer: -296*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 7763?\nAnswer: 39\/7763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-715)\/(-10)*1*96\/264.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 3:49 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3921344 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 47631.9 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus -253906776?\nAnswer: 253906776.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + l. Let r(k) = 134*k**2 - k. Determine 4*o(h) + r(h).\nAnswer: 142*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose 5 + z = 5*n, 5*n - 11 = -3*q. Solve -6 = -q*b, 8*a - 3*a - 6 = -2*b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40793 and 226.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 38\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026478 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -796*j - 22*j**2 + 145*j**2 + 796*j.\nAnswer: 123*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 3 - 3 + 23 as k + v*a and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 627*c + 109. Let i be a(6). Suppose -3*f + d - 6*d + i = 0, 5*f = 5*d + 6465. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 7*s + 11*s)*(0*s**2 - s**2 + 0*s**2).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/17 + 346714*a\/17 - 4160856\/17 = 0. Calculate a.\nAnswer: -173369, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*j - 2*v, j + 2*v = -j + 18. Suppose -5*m - 5*z + 110 = 0, m + j = 3*z + 34. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 5. Let q(b) = b**3 + 3*b**2 - b - 4. Let p be q(l). Solve g + p = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - -110. Suppose -157 + q = -u. Solve -u*i - 26 = -1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a week in hours?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2960 - -3727. Calculate the highest common factor of m and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-63))\/((-522)\/(-21924)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 1 = 2*x - a, 4*x - a = -60. Let z = x + 18. Suppose o = -z*p + 130, -p + 83 = 4*o + o. Calculate the greatest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 1. Let x be o(1). Let m(p) = p**3 + 5*p**2 + 3*p + 2. Determine m(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 9*q**2 - q - 4. Let a be c(-9). Suppose a*g - 28 = 12. Calculate the remainder when 22 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.271 + -32.729. Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/7672800 and -131\/1748000.\nAnswer: 728916000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**2*q**2 - 50*p**2 - 6265*p*q**3 + 3*p*q + 1956 wrt q?\nAnswer: -4*p**2*q - 18795*p*q**2 + 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - 2*b)*(3*b - 6*b + 2*b)*(4*b - 10*b - 7*b)*(4*b**2 + 0*b**2 - b**2).\nAnswer: 39*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 1. Let o be s(2). Let v(c) = -c + 2. Let x be v(0). Let h be 30\/(-9)*(-108)\/8. Solve -5*r = -4*d + h, -4*d + 25 = -o*r - x*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20552967*13\nAnswer: 267188571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1157, 1319, 1479, 1637?\n\"Answer: -n**2 + 165*n + 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkqq when four letters picked without replacement from qkqxrkkrk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**3 - 116450*l**2 + 32784955*l - 65104150 = 0.\nAnswer: 2, 283, 23005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -595.64?\nAnswer: -595.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3 + 10063*f**2 + 3296496*f + 274534848 = 0.\nAnswer: -9727, -168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4094599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, p: 4, f: 13}. What is prob of sequence ph?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z - 1. Let q(m) = 3*m + 92. Let o be q(-19). Let y = o + -37. Give i(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-22))\/(2*(-2)\/(-16))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 755\/(-302)*2\/(-115)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 11. Let b be v(6). Suppose a + b*k = 0, a + 2*a = -5*k. Suppose 2*d - 12 = -a*d. Solve 5*p = -d - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30184 is divided by 30181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 5*m + 2*m - m**2. Let z be q(-5). Let k = -136.922 + 144.922. Which is the closest to -2\/3? (a) 2 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949014 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) 634 (c) -0.5 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - 15\/(-3) - -2. Solve 0 = x*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6337 = 6361 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 20. What is the tens digit of (-16)\/1*u\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 6*z**2 + 6*z. Let t be s(-6). What is the common denominator of (45\/440)\/((-1)\/t) and 2\/(-3) + 194\/84?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*l**3 - 6*l**3 + 0*l**3 + 8*l**4 - 2*l wrt l.\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-12)\/(-24))\/((-1)\/112*-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-1*sqrt(6)*1).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 6*f + 15. Let l = -1216 - -1188. Sort f, 4, l.\nAnswer: l, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 2400 = -7261 - 12579. Do u and 6676\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 3*m**2 - 8*m**2 + 2*m**2 - 5*m**2 + 2*m**2 + (3*m + 2*m - 4*m)*(-m - 3*m + 3*m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4483617.99782 - -4483431. Let w = -442 - -255. Let c = w - v. What is c rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -742*z**2. Let n(h) = -130*h**2. Give n(c(t)).\nAnswer: -71573320*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 98. What is the second derivative of 2*p**2 - 99*p - 2*p**i + 100*p - 40*p wrt p?\nAnswer: -12*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 9)*2\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**32*u\/(u*u**(-9)))**(7\/12))**(-16) assuming u is positive.\nAnswer: u**(-1148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5546*l + 5579*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46, 120, 234, 394, 606, 876?\n\"Answer: x**3 + 14*x**2 + 25*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 18 = -3*b - 5*u, -4*b + 28 = -5*u. Suppose 7 = d - b. Suppose -d*t + 13*t - 336 = 0. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmpmmpmmmmmmmmmmmmmm. What is prob of picking 2 m and 2 p?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94522, 94425, 94298, 94141, 93954, 93737, 93490?\nAnswer: 93213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1649\/138 + (-3)\/6. Let k = c - -74\/23. Find the common denominator of k and -1*(-2 + 0)\/(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/11))**(1\/5)*w**11*w*w**(-2\/25))**3 assuming w is positive.\nAnswer: w**(9969\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1957988 millimeters in centimeters?\nAnswer: 0.01957988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073788083 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.2 - 0.8. Let c = 41 - 46.6. Let y = x - c. Sort y, 3\/2, -1 in descending order.\nAnswer: 3\/2, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10390.\nAnswer: 2, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370200*z - 185095*z - 185097*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 13. Calculate a(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 126*j**2 - 446*j**2 + 127*j + 40*j + 105*j**3 + 50 + 13*j + 30 = 0.\nAnswer: -2\/7, 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 + 5*a**2 + 7*a + 5. Let z be (-84)\/18*(-12)\/14. Let n(c) = 2*c**3 - 4*c**2 - 6*c - 4. Calculate z*m(b) + 5*n(b).\nAnswer: -2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200482302?\nAnswer: 2, 3, 33413717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73417413?\nAnswer: 3, 24472471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/7))\/h*h\/h**(3\/7)*(h*h**5)\/h**0*(h\/h**(4\/7)*h*h**(-2\/3)*h)**(2\/19) assuming h is positive.\nAnswer: h**(2582\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00289872 to five dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -13*a**4\/8 - a**2 - 28. Let c(f) be the first derivative of -f**2\/2 - 44. Give q(c(y)).\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 352, -4, 5 in decreasing order.\nAnswer: 352, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -34*u. Let s(k) = 10*k - 282. Give s(t(x)).\nAnswer: -340*x - 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-12)*-3 + 4. Which is the third biggest value? (a) p (b) 3\/2 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p - 128. Let b be h(11). Solve -2*a + 6 = 2*t, b*t = -3*a + 9*t - 31 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0102 + -5.5662. Round z to 1 decimal place.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 + o**2 + 0*o**2 + (-2*o - 2*o + 2*o)*(2*o - 3*o + 2*o) + o**2 - 3 + 3 + 13*o**2 + 51*o - 51*o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 38033.\nAnswer: 4\/38033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 - 16*x**2 - 10*x + 100 = 0. What is x?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 35. Suppose h*i = -4*i + 1224. Let f = i + -179. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 59 = -3*u, 2*u + 4*q = 2*q + 50. Suppose 2*p = 255 + u. Suppose 0 = -b - 4*g + p, -g + 3*g - 10 = 0. List the prime factors of b.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 2*c**2 + c**2)*(2*c + 54 - 27 - 22) - 3*c - 3*c**3 + 2*c + 3*c.\nAnswer: c**3 + 10*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 263 - -5?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, 0.05, 18971.1, -4 in decreasing order.\nAnswer: 18971.1, 0.4, 0.05, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.7073ml in litres?\nAnswer: 0.8567073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from {d: 1, v: 1, j: 1, c: 3, k: 5, q: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 1)*(9*n - n - 4*n)*((-4 + 4 - 2*n)*(10 - 7 + 3) + 4*n - 3*n + n) as x*n**2 + t*n + a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 0*p**2 + 8*p**2 - 27*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-120)*2\/3. Which is the nearest to 2? (a) -2 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 129*z**2 - 198. Let q(u) = -8*u**2 + 12. Let t(l) = -2*o(l) - 33*q(l). Let v(y) = -43*y**2 + 3. Determine t(v(w)).\nAnswer: 11094*w**4 - 1548*w**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 15*m. Let g be i(-7). Suppose -3*p + p - w = -g, 2*w = -p + 25. Let f = -20 + p. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Calculate the remainder when 47 is divided by f\/(-9)*12*-6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.0366972 rounded to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/6*(13 + (-747)\/45). Sort 5, 4, b, 0.2 in ascending order.\nAnswer: 0.2, 4, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -21. What is the derivative of i - 2*u**2 + u**2 + 0 + 3*u**2 wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*j + 5. Suppose -5*k - 90 = -0*k. Let w be (k\/2)\/(-3) + 2*-1. Solve -w = 2*q + j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 485*h**3*t - 40*t - 2 with respect to h.\nAnswer: 1455*h**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Suppose -g*z + 0*b - 205 = b, -3*z - 170 = 4*b. What is the units digit of (9\/5)\/((-15)\/z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 387 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85140735 to the power of 1\/3, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.38 (b) -1\/3 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1005*h + 2004. What is j(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)*d*d*d*d*d\/(d**(-5)\/d*d*d)*((d\/d**(-1\/3))\/d)**(-44))**1 assuming d is positive.\nAnswer: d**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 128137\/3 at most as big as 42712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**2 - 5*k + 5*k + (-2 + 6 - 2)*(6*k + 7*k**2 - 6*k) to a*k**2 + y*k + o and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 12 - (59 - 61).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/2*3\/15. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1355 divide 16898205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 1\/4*f**3 - 1860867\/4 + 45387\/4*f - 369\/4*f**2 = 0.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*v**2 - 4*v**2 + 2 - 28*v**2 - 2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 668*h - 20710. What is f(31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 30, 21, -34, -159, -378, -715, -1194?\n\"Answer: -4*p**3 + 13*p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**3 - 2*t**2 - 13*t - 11. Determine a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*(216\/(-32) + 6). Which is bigger: -8 or n?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/21)*u\/(u\/(u**(-6)*u))*(u*u**5\/u)\/u*u**(1\/5)*u*u assuming u is positive.\nAnswer: u**(136\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 13*r - 21. Let a be b(15). Suppose a = v - 18. What is the remainder when v is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 228, -0.3, 7.5 in increasing order.\nAnswer: -0.3, 7.5, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 10. Let j be 6 - -2 - 6\/k. Suppose -j*s = -11 - 34. Solve s*g - 4*g = -20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*d - 143*d + 288*d - 4 = 0. Sort 0, d, -3, -4, 165.\nAnswer: -4, -3, 0, d, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.22 (b) -0.4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r = 10*r - 75 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - ((-654)\/50 - (-12)\/150).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5925005890 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 47 = 338. Suppose -2*p = 5*q - a, 2*q + 3*p = -0*q + 112. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Let d(u) = -6112*u. Determine m(d(j)).\nAnswer: -12224*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y + 8 = 2*l, -2*y = -3*l - 4. Suppose -2*s + 2*k + 15 = -3, -4*s - 5*k + 9 = 0. Let t(j) = -1 - 3 + j**2 - 1 + s. Calculate t(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5011877*f**2 + 2*f + 1116454 wrt f.\nAnswer: 10023754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2778903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1 - n - 3 + 3. Let m(j) = 3*j**2 - 2*j - 4. Suppose 7*g = 1 - 8. Determine g*m(d) + 3*l(d).\nAnswer: -3*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/23)\/v*v\/v**37)\/(v**(-1\/7))**(38\/7) assuming v is positive.\nAnswer: v**(-40727\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (17514\/(-2085))\/(42\/90)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 2. Let d = -700 + 714.36. Let r = d - w. What is r rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uduk when four letters picked without replacement from {d: 5, v: 1, u: 8, k: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 8*x + 10. Suppose 2*i + 18 = 2. What is the units digit of t(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 15*h - 13. Let j(k) = -k**3 - 6*k**2 - 4*k - 11. Let c be j(-5). Let f be b(c). Solve 2*n - 4*m - 20 = 0, 25 = -f*n + 8*n - 5*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2 - 10 + 0 - 4*n**2 - 1. Let k(a) = -a**2 + 5*a + 3. Let t be k(4). Let g(w) = -2*w**2 - 4. Determine t*g(y) - 3*i(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g**0*g))**(-35))**(-17) assuming g is positive.\nAnswer: g**1190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -342 - -343. Which is the nearest to v? (a) -0.4 (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10729 * -0.5.\nAnswer: 5364.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/10590075 and 77\/1095525.\nAnswer: 31770225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15689?\nAnswer: 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 538, -6\/5, -1, -2\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((9\/(-12))\/(-1)). Suppose -4*l + 3*k + 43 = 0, -38 = -x*l + 4*k - 2*k. Let f = l + -5. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32))**2*3 - (sqrt(2)*-2 + -1)**2.\nAnswer: -4*sqrt(2) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 437 - -94. Let l = p + -268. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.167 + -2.463. Let g = -2.73 - v. Do g and 19\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58804698 is divided by 784.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -3263.53 and 22071.321.\nAnswer: 18807.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15840537071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-30)*-5*4\/10.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 + 1. Let s be j(2). Let k be ((-3)\/((-9)\/(-6)))\/(742\/(-105) + 7). Is 23 a factor of (14448\/k)\/7 - (-1)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648365 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/((-2)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**5\/10 - h**4\/2 - 3*h**3\/2 - 7*h**2\/2 + 29*h. Let l be a(-3). Calculate the greatest common divisor of 160 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -122. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*p**3 + 2*p + 34.\nAnswer: -1080*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, o: 4, f: 4}. What is prob of picking 1 f and 3 x?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -146\/213, -1\/6, -82?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 62*t. Let h(v) = -15*v**2 + 63*v**2 - 18*v**2 - 12*v**2 - 16*v**2. Determine d(h(a)).\nAnswer: 4*a**4 + 124*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - 4*q**2 - 3*q - 2. Let o be b(-2). Suppose -4*y = -2*v + o*v, -3*v + y = -21. Suppose 17*p = -16*p + 32*p. Solve 3*u + p*u + v = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*l**2 - 3 - 13*l**2 + 3 - 22*l**2 - 5*l to j + v*l + y*l**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4555200 to the nearest integer?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107608a (base 11) in base 7?\nAnswer: 21666160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 2 + 2 - 4*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-610)\/(-4) + 30\/(-20) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15322 is divided by 3824?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5564698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/6 + 17*b**2\/6 + 13*b\/3 - 220\/3 = 0. What is b?\nAnswer: -11, -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5310 divided by -2.\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -206058359\/6741350 - -8406\/275. Calculate the common denominator of h and -139\/6.\nAnswer: 73542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1282 + f + 24871 - f + 1378 + f**3.\nAnswer: f**3 + 24967","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/65813, 0, 2\/3.\nAnswer: -1\/65813, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -112306144 (base 7) in base 5?\nAnswer: -3230014302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.486068 rounded to 3 dps?\nAnswer: 0.486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -279 - -4?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 5*y**2 - 5*y + 2. Calculate the remainder when l(-5) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*x = 4*j + 110*x - 24, 5*x = -j + 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 523 = -3*p, -k + 7*p - 3*p = 123. Let x = -80 - k. What is the remainder when x is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 + -69. Suppose -16*t + c = -13*t. Let o = 5 - -1. Sort o, 2, t.\nAnswer: 2, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 12*o**2 - 16*o - 20. Let d be u(10). Suppose -8*r + 216 = -4*r. Let k = r - d. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1431175*u**2 - 1351239.\nAnswer: -2862350*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/25)*m*m**5)**(-2\/7))**(-1\/74) assuming m is positive.\nAnswer: m**(152\/6475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((9\/1)\/(-3))\/(-1). Suppose z + 4 = -g*z. Is 1*(1 - (z + -19)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -17*r + 277. Determine f(18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -16. What is the third derivative of k**6 + 8*k**z + 6*k + k**2 - 6*k wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -340 + 278. Let w = x - -63. Which is the closest to -2? (a) 0.04 (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105563, -105946, -106601, -107534, -108751, -110258?\nAnswer: -112061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*f + 4247 - 677 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 2. Let d be x(-5). Suppose 4 = 3*i - 8. Suppose 5*y - 1 = -d*g + 35, 0 = -i*y. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 254 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 27*k**2 + 23*k - 52. What is v(-28)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 3:04 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b\/(b*b**(-3\/13)*b))\/b*b*b*b\/b**16)**(8\/15) assuming b is positive.\nAnswer: b**(-1328\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163940058 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*c + 8 = 0, -7*s + 2*s + 3*c - 4 = 0. Let g be (-2 - 0)*(-4)\/2. Let t(h) = -2 + 3 + h**2 + g*h**2 - h. Give t(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 27*h + 12. Let w be m(-10). What is the tens digit of 408 - (-7)\/(w\/(-24))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b65 (base 14) to base 15\nAnswer: 2458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 14*z + 920. Let u be (16\/(-5))\/(4\/z). What is the highest common factor of u and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l**(-37)))*l)\/(l*l\/(l*l**23*l*l)))\/((l*(l\/(l*l**26)*l)\/l*l)\/l**(2\/41)))**(1\/15) assuming l is positive.\nAnswer: l**(107\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 6 - 35 - 44 - 73 + 38 as d*x + p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.08, 46\/5 in decreasing order.\nAnswer: 46\/5, 0.2, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 528 and 47071464.\nAnswer: 94142928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 207, 0 in ascending order.\nAnswer: 0, 1, 3, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 0.125 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*j + 50*j = 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + (11 - (27 - 17)) - 15\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*u - 9*u + 8, -2 = -5*z + 3*u. Let s = 107 + -533\/5. Let v = 129.3 - 126.3. What is the nearest to z in 2, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19013*c**3 - 18974*c**3 + 800 - 5*c**4 + 320*c - 390*c**2 + 38072*c**3.\nAnswer: -5*(c - 10)*(c - 4)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/(2688\/19215) + 5\/4 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5651 + 8979. Does 8 divide k\/72 + 10 - 4\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 13493 - p**2 + 4*p - 13412)*(-1 + 1 - p**3).\nAnswer: -2*p**5 - 4*p**4 - 81*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 344, -0.5, -6\/289, 2 in descending order.\nAnswer: 344, 2, -6\/289, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 2*a)*(-54*a + 21433 - 21433)*(a**3 + 0*a**3 + 0*a**3).\nAnswer: 108*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 3\/98 (c) 2 (d) -3 (e) 203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 98. Calculate the remainder when s is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7895687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -78956.6 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 92390*u**2. Let a(o) = -1180*o. Determine b(a(g)).\nAnswer: 128643836000*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 14962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414519865 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: Put -2, -7, 624, 0 in decreasing order.\nAnswer: 624, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -88324202+-802\nAnswer: -88325004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/10*(-5)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvxvvvkxvvvvx. What is prob of picking 1 x and 1 v?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, d: 2, p: 1, l: 1, w: 1}. What is prob of picking 1 l and 1 a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - s - 16. Let b be g(-3). Factor -12*i**2 + 18*i + 21*i**3 + i - b*i**3 - 55*i - 8.\nAnswer: 4*(i - 2)*(i + 1)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.026 and -832.\nAnswer: -21.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362261 - 0.08823.\nAnswer: 362260.91177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-12)\/8) - 4891\/(-3). Suppose 0 = -5*r - 576 + s. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*d = 3, -5*d = -2*n + 3 - 24. Let s(f) = -5 + 5 - 1 - 54*f. Is s(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2\/13 (c) 2\/11 (d) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/6*(-792)\/(-96). What is the units digit of ((-22)\/n)\/(2\/2308)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -771 divided by -12929\nAnswer: 771\/12929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/35 + (-4841)\/1030?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:32 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 44. What is the greatest common divisor of 216 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7226 divided by -17.\nAnswer: 7226\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -24. Let d = s + -4. Suppose -d*w = -8*w + 51. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-7)\/49*3*(-1)\/1\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 9*b + 28. Let q be k(-4). Let r be q - 0 - (4 - 8 - -9). Solve 0*v - 20 = -2*c + 4*v, -r*c + 20 = -4*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*s - 19666, -4*m + 32754 = 3*s - 8*s. Let a = -39181\/6 - s. Find the common denominator of (-2 - 10\/(-1))\/((-38)\/(-95)) and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 602555052 and 28.\nAnswer: 4217885364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**2\/7 - 48*d\/7 + 90\/7.\nAnswer: 6*(d - 5)*(d - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 189 + -8a?\nAnswer: dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885817 is divided by 294.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 1425300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 410440411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 2, 1\/4 in decreasing order.\nAnswer: 2, 1\/4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/4 of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (0 - (9 - 9) - -2 - -1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19064153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1242 + -1247. Which is the nearest to 3\/4? (a) 0 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjjddjcj. What is prob of picking 1 j, 1 d, and 1 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 69*r**2 + 7*r + 391. Let i be l(-69). Sort 2, i, 7 in descending order.\nAnswer: 7, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 3*n**5\/80 + 3*n**4\/2 - 25*n**3\/8 + 2542*n - 1. Find a such that t(a) = 0.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10948000 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 8*o**2 - 20*o - 10. What is the remainder when h(11) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3 - 2*n + 3. Let i(g) be the third derivative of -g**6\/90 - 2*g**3\/3 - 7*g**2. Let h(b) be the first derivative of i(b). What is h(t(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14*f - 7. What is k(10)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/357)\/(662\/3). Let s = 534557\/22508 + y. Calculate the common denominator of s and 1\/(7*2\/46).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3182277 less than 367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-4)*(-1)\/(-5). Let l = 46.966 - 47. Let j = -0.534 - l. Which is the nearest to -2? (a) 0.06 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/3 + 5508*n + 66128\/3 = 0. What is n?\nAnswer: -4, 8266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 54 + 0 - 106.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-41)\/82 + 6\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f - 136. Let s be v(-17). Suppose s = -2*q - 6, -b - 2*q + 3964 = -607. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243805794*y**3 + 262504101.\nAnswer: 731417382*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 4:56 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5390030561 to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 768, -0.1, 2\/3, -0.047, 188?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.85797 - -0.14235. Let w = 11 - k. Round w to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from {r: 11, x: 6, g: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 9*v - 12. Let h be 1*4 + (-152)\/(-8). Let i = h + -16. Let r be x(i). Solve 0 = 4*k - 0*a - 2*a - 8, r*k + a = 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjmjjjjmjjmjjmjjjj. Give prob of picking 3 j.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 7.62.\nAnswer: -0.762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90642472 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 14*l. Let s(a) = 18*a. Let w(x) = 4*h(x) - 3*s(x). Let c(d) = d + 63. Determine w(c(q)).\nAnswer: 2*q + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 4*j**3\/7 + 9*j**2\/2 + 15*j\/7 - 38. Factor l(t).\nAnswer: 3*(t + 5)*(4*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 3*g**2 - 18*g - 24. Calculate the smallest common multiple of h(11) and 16.\nAnswer: 5968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11109313067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 + 1 - 3*a + 1 + 5*a. Let s(z) = -z**2 + z + 1. Let f(u) = 5*j(u) - 10*s(u). Let h(w) = -2*w. Calculate h(f(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 54384*g**2 - g - 54446*g**2.\nAnswer: -62*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 4*z**2 + 4*z**2)*(-21 + 5 - 3)*(-2*z - 2*z + 5*z) + 0*z**2 - 2*z**2 - 2*z**4 + z**2.\nAnswer: -59*z**4 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3989 or 0?\nAnswer: 1\/3989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10b6 (base 12) to base 10\nAnswer: -1866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 9. Suppose -3*h + 394 - 50 = -2*g, -2*g + 340 = x*h. Let u = h + -74. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 580*j + 4 = -576*j, -i - 5*j = -8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4890*s**3 - s**2 - 50515?\nAnswer: -14670*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 669594 + 109*l - 669594.\nAnswer: 109*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(-1 + t + 10 + 3) in the form y*t + f and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 38\/6451?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*t + 0)*(-1 + 92 + 67)*(3 - 2 - 2).\nAnswer: 316*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41094128?\nAnswer: 2, 853, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20041, -39850, -59669, -79504, -99361, -119246, -139165, -159124?\n\"Answer: -y**3 + y**2 - 19805*y - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*h - 79, 0*w = 3*w + h - 62. Solve 5*u = 4 + w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*m - 3232, -5*y = 12*m - 8*m - 8104. List the prime factors of y.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u**(-15)\/u)))*u*u*u**2*u)**(7\/4)*(u**(-2\/3))**(-3\/19)\/(u\/(u\/(u*u**(-2))*u))**(1\/11) assuming u is positive.\nAnswer: u**(16213\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25057*k**3*v + 1732*k**3 - 4*k**2*v - k**2 + 5630*k*v - 31*k - 1 wrt k.\nAnswer: -150342*v + 10392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1 + 0 - 4 + 2 + 5*t - t**2. Let z be f(2). Solve 5 = -5*c - z*u, -c - 5*u + 5 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*0\/(-1) + 4. Let l(o) = -5*o**3 + 3*o**2 + 3*o + 2. Let p(u) = 14*u**3 - 8*u**2 - 8*u - 5. Let x(f) = d*p(f) + 11*l(f). Give x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*s - w - 3, -5*s = -5*w - 25. Sort -5, 1, 4, -8, s in increasing order.\nAnswer: -8, -5, s, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 0. Let w be (-1 + o)\/(-2 - 0). Suppose 4*t = 2*t - w*c + 14, 2*t = c + 24. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - -162486?\nAnswer: 162460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/493 (b) -1\/3 (c) 2\/41 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 69. Suppose -100 = -9*h - 73. Let z be p(h). What is the greatest common factor of 255 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w - 65*w - 9 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13849 + 13859. Solve -34 - 36 = -c*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/(((-1248)\/65)\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -3*b**4\/4 - b**3\/3 + 193*b**2. Give v(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4944.05346 to 1 dp.\nAnswer: -4944.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = -f + h, -9 = 2*f - 5*h. Find the common denominator of (-23)\/(-45) + (-1)\/f*1 and 119\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 49*t**3 + 7*t**2 + 6*t. Let p(o) = 99*o**3 + 13*o**2 + 11*o. Determine -6*p(a) + 11*q(a).\nAnswer: -55*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.057 and 0.4286?\nAnswer: 0.0244302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 23*p**2 - 6*p. Let l(g) = 10*g**2 - 18*g**2 + 0*g + 0*g + 2*g. Let t = 121 - 49. Suppose 0 = -6*c - 6*c + t. What is c*y(k) + 17*l(k)?\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(5) - (1 + (sqrt(25)\/sqrt(5))**2)) + 1*sqrt(20)\/sqrt(4) + -4).\nAnswer: -2*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -921, -1096, -1369, -1728, -2161, -2656, -3201, -3784?\nAnswer: -4393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -19 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532 - 5291*i + 532 + 545*i.\nAnswer: -4746*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(132)*2 - sqrt(132))*1 + ((sqrt(132) + (sqrt(132)*-1 - sqrt(132)) - sqrt(132)) + sqrt(132))*-1)\/((-1*sqrt(144))\/sqrt(3)))**2.\nAnswer: -2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + ((sqrt(98) + 2*sqrt(98))**2*-2 - -4*(1 + sqrt(2) + (1 + sqrt(2))**2))*1).\nAnswer: -60*sqrt(2) + 8735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1852*h**2 + 7*h + 2. List the prime factors of x(-1).\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 64?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 + -2. Let k be (-49)\/5 + 168\/210. What is the smallest value in t, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2.2. Let u = 0.8 + d. Which is the nearest to 0.3? (a) u (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/63*(-62)\/((-3658)\/59))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14547610269 - -14547609344.9826707. Let l = 912.01733 + y. Let g = l - -12. What is g rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 25 = 5*f, 0 = -3*j - 5*f - 1 + 18. Let y be j - 68\/(-36) - (-10)\/(-15). Which is bigger: y or -8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21523295 minus 1636416?\nAnswer: 19886879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**5\/5 + 42468*c**4\/5 - 424884*c**3\/5 + 271968*c**2 - 1359936*c\/5 = 0. Calculate c.\nAnswer: -14166, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 - (-7 + 12 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-16808))\/((-176)\/484)*1\/(-1)*4?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 227792 and 510908982.\nAnswer: 4087271856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000336206 to 7 dps.\nAnswer: -0.0000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36142*h**2 + 17*h**3 + 17980*h**2 + 18162*h**2.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - 3*u + 3*u as s*u + h and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1744 and 47\/3488?\nAnswer: 3488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4) + -2)*-4. Let j = 16 + -8. What is the remainder when (-1 + n\/(-4))*-14 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*((-6)\/(-1) - -1). Let n(h) = h**2 - 7*h - 4*h**2 - 8 - 3*h**3 - 4*h**2 + 2*h**3. What is the units digit of n(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35)\/(((-1)\/183)\/((-63)\/(-189))).\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*u + 5*m + 18, 5*m + 24 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-1*(-5)\/10)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from mmvm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 1, t: 2, y: 4, g: 3}. What is prob of picking 1 t and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + x = 47, 4*j + 3*x - 91 = -0*x. Suppose 10*f - 15*f + j = 0. Solve f*g = 10*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128896 divided by -152\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -22 + -8 + (-9 - -4)*-1. Let b = y + 27. Solve 3*k - 2*k = 5*d - b, k + 4*d = 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -298.4 (b) 2\/17 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -3*d**5\/20 + 79*d**4\/12 + 71*d**3\/3 - 28*d**2 - 3*d + 4. Factor h(x).\nAnswer: -(x - 28)*(x + 2)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c - 10. Determine u(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 510\/(-51) + -3 + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*v**2 + 2*v**3 - 1 + 10*v**4 - 12*v**2 + 2*v**2 to h*v + t*v**2 + w + f*v**4 + i*v**3 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*m - 16 = 0, -8*p + 4*m = -3*p - 11. Let i(c) = -p*c + 20*c**2 - 19*c**2 + 3*c. Let l(s) = -2*s**2 - 13. Give i(l(w)).\nAnswer: 4*w**4 + 52*w**2 + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/60 and -67\/1664709.\nAnswer: 33294180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 5:36 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*j + 177*j = 5*y + 110, 0 = 4*j + 5*y + 88 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 0.2 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 5 = -2*x, 4*x + 2064*p - 2063*p - 9 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3213, 12866, 28967, 51528, 80561, 116078, 158091?\n\"Answer: 2*g**3 + 3212*g**2 + 3*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(2448) + sqrt(2448))*5*-1)**2.\nAnswer: 979200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9408)\/(-1344)*8\/(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (13 - -5)) + 0 + 14 + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + -1.4. What is the biggest value in 3, f, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-8)\/((-192)\/(-136)))\/(292\/6) and -119\/20.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.3, 154894 in ascending order.\nAnswer: -9, -0.3, 154894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = d, 8802*w - 8801*w + 4*d - 16 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.395266 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3466*h + 91997. What is a(26)?\nAnswer: 1881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 + 5*d + 1. Let i(r) = -6*r**2 - 6*r. Let b(m) = 4*i(m) + 5*s(m). Let f be b(0). Suppose -4*n = -3*h + f, n - 5 = -n + 3*h. Is -4 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 34*z + 25*z - 38*z. Let x(q) = -2*q**2. Give r(x(o)).\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36054049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + -6 + (-10 - -25)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 62 = -28. Let i be ((-3)\/(-9))\/(1\/o). Let s be i\/4 + 63\/6. What is the greatest common divisor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqccqqqcccc. Give prob of sequence qqqc.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3016990 to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**4\/4 + n**3 - 2*n**2 - 1. Let h be u(-4). Solve 3*f = -h*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1035 is divided by 156.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z + 8*z - 460. Suppose -3*j = -z*j + 346340. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/9308 and -39\/227330?\nAnswer: 5910580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98920*a**2 - 930*a - 390415896.\nAnswer: -197840*a - 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 25, 18, 2, -19 in descending order.\nAnswer: 25, 18, 5, 2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 35, 64, 109, 176, 271, 400, 569?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g - 80. Let d = 19 + g. What is the derivative of 2 - 3*c**2 + c**2 + d*c**4 + 2*c**2 wrt c?\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 956180 and -0.2.\nAnswer: 956179.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 + 4*a + 13. Let r(y) = -9*y**2 + 9*y + 25. Let f = 6 - 12. Let d(k) = f*r(k) + 11*g(k). What are the prime factors of d(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 35*j - 15. Let z be d(18). Let c be 1\/(-2)*(-2)\/1. Let b be 9*(c + 2\/(-3)). Solve 30 = z*k - b*f, k - 4*f - 30 = f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 5*l**2 + l + 5. Let p be r(-5). Suppose -3*b = 4*j - 8, p = -2*b - 2*j + 1 + 5. Suppose b*w - t - 143 = 2*t, -172 = -5*w - 3*t. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8759.\nAnswer: 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 3 + (3 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4) + 6\/12*-1. Let z(a) = 30229*a + 7. Let f be z(t). Let v be -3 + (-2 - 43*f). What is v rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 divided by -157887?\nAnswer: -38\/17543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1762186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417619*q**3 - 208812*q**3 - 208814*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 93 = 101. Let x = 1.9 - -3.1. What is the biggest value in -2, h, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1. Let m be (-1)\/((-973)\/98 + 10). Let a(p) = 3*p**3 + 7. Give m*b(o) - 2*a(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:02 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2174\/9 + 242. Let z = 4 - 8. Let v be (-1)\/(-1 + 0\/3). What is the nearest to v in p, z, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/329494 and 43\/19382.\nAnswer: 329494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4749723?\nAnswer: 3, 11, 47977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - v - 7 - 19 = 0, 0 = -3*a - v - 39. Let i = 15 + a. Let j be i\/(-8) - (-375)\/(-100). Sort 1, 0.3, 0.2, j in decreasing order.\nAnswer: 1, 0.3, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlgkr. Give prob of sequence lr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -547*b - 22*b**2 - 2*b**3 + 545*b - 9*b**2 + 2*b**2 - 1 to o + p*b**3 + i*b + h*b**2 and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(13))*6*-5 - -6*(1*sqrt(39)\/sqrt(3) + sqrt(13))) + 0)**2*-5.\nAnswer: -25560 - 5400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1272 and 0.2.\nAnswer: -254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 37*g**2 - 144*g - 14. Let j be x(4). Solve -j*z - 5*h = 27, 34*z + 29 = 30*z - 5*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Let w = -9 + 13. Suppose w*h = -h + 5. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2401 is divided by 92.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddccccdwc. What is prob of sequence wdcc?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3 - 3. Suppose k = 4*p + 2*k - 437, -229 = -2*p + i*k. Calculate the highest common factor of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*p - 10, -3*p = r - 5*p - 1. Suppose -i = -4*i + 6. Factor 6*n**3 + n**5 - r*n**4 - 3*n**3 - 9*n**i + 8*n**2 + 0*n**5.\nAnswer: n**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/1500 and -97\/1260.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, and 1 x when three letters picked without replacement from {g: 2, r: 1, x: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10 and 67\/71910?\nAnswer: 71910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/14 + 1\/14. Let w = -0.54 - -0.684. Let j = w - -0.156. What is the closest to 0.1 in j, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753340 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(847) + 1)*-4 - (-1 + 1 + 0 + sqrt(847)))**2.\nAnswer: 12144*sqrt(7) + 448639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3\/15 - 14*k**2\/15 + 4012*k = 0.\nAnswer: -177, 0, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/(408\/(-60)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvvqptqqtqqtq. Give prob of sequence vptv.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17450a + 4?\nAnswer: 174512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -0.3. Let f = 46 - 30. Suppose 7 = 3*u + f. Which is the nearest to l? (a) 0.2 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 59.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*l**3 + 11*l**2 + l + 1024 wrt l?\nAnswer: 132*l + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 24, 13, -14, -63?\n\"Answer: -i**3 + i**2 + 3*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 23 = 3*s, -3*s - 5*o - 24 = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -n - 2*c, -3*n - 2*n + 144 = c. Let k be 60\/112 + (-4)\/14. Sort n, k, 3 in ascending order.\nAnswer: k, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s**3 + 47*s**2 - 100*s - 8. Determine w(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 divided by 4?\nAnswer: 661\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v*v**(2\/19)*v)**(-5\/2)\/(((v\/((v\/(v*v\/(v**(1\/3)*v)*v))\/v))\/v)**(-3\/5)*v\/(v**6\/v)*v**(-1\/2)) assuming v is positive.\nAnswer: v**(52\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + 29*a**2 - 7*a + 27. Let v be x(-10). Let b(q) = -q + 1. Let p be b(4). Let w = p - v. Solve 1 = u - w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -145*a - 11. Suppose 2*d = 4*z + 186, -297 = -3*d + z - 33. Let c = 85 - d. What are the prime factors of k(c)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18315076 (base 9) in base 10?\nAnswer: 9221919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -232*v**2. Let i(p) = -577*p + 15. What is i(m(q))?\nAnswer: 133864*q**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 138\/(-9) + (-23 + 24)\/3. Which is bigger: -22 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5392580 by 46892.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3981*f**5 - 1645*f**3 + 2*f**2 - 1173*f - 7432 wrt f?\nAnswer: 238860*f**2 - 9870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -806, -1258, -2012, -3068, -4426, -6086, -8048?\n\"Answer: -151*p**2 + p - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + sqrt(6)\/sqrt(2) + -2 + 2 - (-2*sqrt(225) + sqrt(225))\/((sqrt(432) - sqrt(12))\/sqrt(4)).\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 divided by -40?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) 0.3 (b) 0 (c) -0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(242)*1)**2.\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z - 8. Let w be i(12). Is (-5534)\/(-14) - w\/56 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7435998 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15425532 (base 6) to base 11\nAnswer: 344957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 16, -1 in decreasing order.\nAnswer: 16, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00318872 rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29 and 2?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.18 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 8. Suppose -4*c + 41 = -3*d, -4*c - q*d + 4*d = -38. What is the greatest common divisor of c and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -662513 or -5?\nAnswer: -662513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 + 3*h + 3. Let j = -16 + 23. Let z be 1*(-7)\/((-28)\/12). Let i(r) = 9*r**2 - 7*r - 7. Let x(f) = j*a(f) + z*i(f). Let x(u) = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 884 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132514, 264485, 396458, 528433, 660410?\nAnswer: 792389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 33422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 55 = -13*n, 490*s - 145 = 497*s + 2*n for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 44*m**2 + 84*m + 123. Is k(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341354328 divided by 8127484\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**3*r + 5455*l*r**3 + 18146*r**3 wrt l?\nAnswer: 3*l**2*r + 5455*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6812 at least as big as 6815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 103, -0.3, 2 in descending order.\nAnswer: 103, 2, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*c - 3486 - 5972 = 3845 + 3833 for c.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 222 = -46. What is the remainder when 173 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10637451 to the power of 1\/2, to the nearest integer?\nAnswer: 3262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -81*i + 4290. Calculate l(53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4433, -4470, -4517, -4580, -4665, -4778, -4925?\nAnswer: -5112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*4*1\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - -0.29. Let w = 0.4 + -0.1. Let l = w - h. Which is the smallest value? (a) l (b) 2\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 <= 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let v = -61.4 - -50.4. Let o = -187 - -183. Which is the nearest to u? (a) o (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/12 and 3395\/14*(-1)\/(-25).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4214771*s**2. Let k(l) = -6*l. What is d(k(a))?\nAnswer: 151731756*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.602 + 0.202. Let q = -0.1 + -0.1. Let o = -0.2 - q. What is the closest to o in -3\/2, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 1 + -5 + (-85 - -15)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7 = -2*c, -40*y + 5*c = -42*y + 26. Suppose v + 228 = y*r, -2 = 5*v - 17. List the prime factors of r.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 14*k**3 - 2.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 2*h**2 + 2*h + 3. Suppose -22*n = 37*n - 69*n - 20. Determine l(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1103*q - 688*q + 2179*q to s + u*q and give u.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28546, -28539, -28530, -28519, -28506?\nAnswer: -28491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850575.\nAnswer: 3, 5, 11, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 8:45 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 2360 + 2360.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 6:37 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q - 18. What is the tens digit of f(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10 = 4*c, -4*c + c + 8 = -k. What is the derivative of 2*u - u + c*u + 2 wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -7, 534.4 in descending order.\nAnswer: 534.4, 4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -2*t**5\/45 - 5*t**4\/36 - t**3\/6 - 41*t**2 - 9*t + 2. Let k(w) be the first derivative of u(w). Factor k(n).\nAnswer: -(2*n + 1)*(4*n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 11. Suppose -22 = -5*v + 3*v. Let m = v + p. Calculate the greatest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r + 6*r - 36445 = 0. Does 104 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -9. Let g(o) = 30*o**2 - 80*o - 26. Let s be g(3). Which is the nearest to z? (a) s (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + h + h**2 + 9*h to the form d*h**2 + r + x*h and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 515*u**2 + 254*u**2 - 34*u**3 + u + 260*u**2 in the form w*u**2 + l + i*u + t*u**3 and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123\/7 - -18. Which is the closest to -1\/2? (a) r (b) 3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = -3*t + 140. Let m(a) = a**3 - 23*a**2 + 45*a - 6. Calculate the remainder when m(21) is divided by (t\/36)\/10 - (-364)\/18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*s - 70, -5*w + 6*w + 4 = 0. What is the remainder when 608 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, 277, 589.\nAnswer: -10, 5, 277, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 - 2*h - 3. Let n be t(-2). Suppose 0*d = n*d + 35. What are the prime factors of (d\/(-3) + 1)*3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/((-155595)\/246)*11\/28?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-266*c + 132*c + 104*c)*(3 - 6 - 7)*(-3 - 3 + 4).\nAnswer: -600*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -36*z**2 - 596*z + 608. Give n(-17).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -255733.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(-5*((sqrt(176) + sqrt(176) + -3*(sqrt(176)*-2 - sqrt(176)))*1)**2 + 2).\nAnswer: -319430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/20 + d**3\/3 - 16*d**2. Let r(y) = -6*y**2 + y + 5. Determine 2*r(v) - 5*w(v).\nAnswer: 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*i - 24, 0*f - 16 = -4*f. Solve -4*y - 3*d - 2*d = -3, -2*y - i*d = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5178*p + 13879*p + 1358291 - 414371 = 1577*p for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:36 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(0*o**2 - o**2 + 0*o**2) + (-2*o + 3 - 3)*(-5*o + 0*o + o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j**4 - 3*j**3 + 17*j**2 + 3*j. Let g(t) = -t**4 - t**3 - t**2 + t. Let b(y) = 3*g(y) - q(y). Find the third derivative of b(m) wrt m.\nAnswer: -456*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-8 - 2 - -7) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 + 6*c**3 + 9*c**2.\nAnswer: -3*c**2*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)\/w**4*((w*w\/(w**(-4)*w))\/w)\/(w\/w**(-1\/2)))\/(((w\/(((w*w**(-7\/3))\/w*w)\/w)*w)\/w**(-8))\/(w**(1\/3)\/w*w**5*w*w)) assuming w is positive.\nAnswer: w**(-73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 + b**2 + 4*b + 5. Let t = 53 - 50. List the prime factors of z(t).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f + 3*f + 5*f**2 - 4*f**2 + 5*f. Let h be q(-3). Solve -h*u - 15 = -3*p, 3*p + 1 = -4*u - u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436228*l**2 - 1308691*l**2 + 436223*l**2 - 66*l**3 + 436234*l**2.\nAnswer: -66*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2449678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3223791 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 92*x**2 - 9*x + 856. Give o(92).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10107 + 10103. Let g(n) = -n**2 + 5*n + 4. Let i be g(5). Suppose 17 + i = 3*r. Sort r, x, -1 in descending order.\nAnswer: r, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18483*n**4 - 50*n**3 - 4161957*n wrt n.\nAnswer: 221796*n**2 - 300*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 1023, 2308, 4097, 6384, 9163, 12428, 16173?\nAnswer: 20392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 155*v - 1110. Let s be m(69). Solve -499*w = -508*w + s for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = n - 1, n - 5*k = -3. Sort n, 5, 4 in descending order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from viiivijvpvi.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i - 4 + i + 1.\nAnswer: -16*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -968.\nAnswer: -967.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let q(f) = f + 1. Let y(h) = 24*h + 27. Let g(j) = -54*q(j) + 2*y(j). Calculate l(g(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 0) + (15 + -24 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54998?\nAnswer: 2, 107, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 292066 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-234)\/9*(-2710)\/(-3523)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 + 16*t\/7 = 0 for t.\nAnswer: 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 29 = 5*m + 37, 2*y = -3*m + 37 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24870, 1.1, 3 in increasing order.\nAnswer: -24870, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 19*o**2 - 38*o - 74. Give l(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 18*p - 20 = 0. Let z(g) = g - 2. Let a be z(p). What is the second derivative of -39*d + d**2 + 40*d + 5*d**a wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 3*w - 18 = 0. Let x(l) = -18*l + 28. Let d(r) = 8*r - 14. Let c(t) = -5*d(t) - 2*x(t). Let o be c(4). Which is greater: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 12:29 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*s + 98 = 0, 2*z - 62 = -0*z + 3*s. Find the first derivative of -10*g**4 + z*g**2 - 34*g**2 + 9 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peepppppeeppppppee. Give prob of sequence ee.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -5) + (-4 - 0) + (-402)\/138.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 4, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-18) + (106\/(-36) - -3). Which is the closest to g? (a) 5\/4 (b) 5\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2968.8117 months in centuries?\nAnswer: 2.47400975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**3 + 2*r + 1. Let q be k(-1). Differentiate -3 + 3 + q*w**4 + 3 wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/11*(-2)\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.35 - -248.25. Let m = -283 + t. Let x = -3 - -2. Which is the closest to x? (a) m (b) 0.2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -16*c**2 - 4*c - 4. Let x be a(-1). Let i = 261 - x. What are the prime factors of i?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 + g**2 - 4*g - 1. Let l(c) = 3*c**3 - c**2 + 5*c + 2. Give -2*l(u) - 3*y(u).\nAnswer: 3*u**3 - u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, -2\/11, 2, 0.12, 3.2 in increasing order.\nAnswer: -2\/11, 0.12, 0.2, 1, 2, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 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: 4.6*0.03188\nAnswer: 0.146648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18372930 and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y + 4 - 4 + 0*y. Give x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6456 in 35, -7, -1, -0.5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108115*g - 57239*g - 59059*g to the form n*g + m and give n.\nAnswer: -8183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 713, 1477, 2517, 3839, 5449, 7353?\nAnswer: 9557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 18 = -2*l - 4*i, -i = 2*l - 12. Suppose 2 = -f + l. Solve 0 = -5*g + 4*t - 25, 2*t - 25 = f*g + 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*v**3 + v**2 + 3*v - 6*v**2 - 3*v wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 8) + 2 - (-6 - (3 + -5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2131\/9 + 237. What is the fourth smallest value in 0.4, 5\/6, b, -1\/2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)\/(i\/(i*i**(-2\/5)\/i)))\/((i*i**(-2\/7))\/i)**(-10\/9) assuming i is positive.\nAnswer: i**(-4321\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -142?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -44602\/2529 and -19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(147) + (sqrt(147) - sqrt(147)*-2*2) + sqrt(147) - (sqrt(147) + sqrt(147)*-2 + -5))*-5 + -3)**2.\nAnswer: 13440*sqrt(3) + 235776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-33)\/y*y**(-3\/16)*(y*y**7)\/(y\/(y*y\/(y*y\/y**(-10))*y)) assuming y is positive.\nAnswer: y**(-579\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvzrzvvzvrvrrrr. Give prob of sequence vzr.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-10))\/((-4)\/30). Let f = -6 + t. What is the remainder when 4 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:01 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -3\/107, 0.0506, -0.3, 2\/15, 0.2?\nAnswer: -3\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yye when three letters picked without replacement from uxueuyeuy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49088193 divided by -399091.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.18 - -7.18. Let m = 111\/65 + -17\/13. Is m less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 1132*m**2 + 71510*m - 304024.\nAnswer: -2*(m - 623)*(m - 4)*(m + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6471, -12906, -19357, -25830, -32331, -38866, -45441, -52062?\n\"Answer: -l**3 - 2*l**2 - 6422*l - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 304525367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 111, 78, 35, -12, -57, -94, -117?\n\"Answer: i**3 - 11*i**2 - 7*i + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-12))\/((-9)\/18*-1). What is the closest to -0.3 in -4, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384 (base 9) to base 10\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 730, 12416, -1 in ascending order.\nAnswer: -1, 2, 730, 12416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9170219?\nAnswer: 53, 173023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 2. Let n be a(4). Suppose 0 = 4*m + n*r - 4, 0 = -4*r + 3*r - 4. Suppose -2 = -4*x + m*x. What is the least common multiple of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 1. Let q be g(4). Suppose -5*k + 10 = -5*n, 3 = q*k + 4*n - 3. Let m be -1 + (-1 - -6 - 1). Solve -12 = u - k*f, m*u - 3*f + 24 = -0*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njpd when four letters picked without replacement from {d: 1, n: 2, p: 2, j: 1, g: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 z when three letters picked without replacement from kekkykyyyytzyk.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 20. Let q be m(-9). Let a(h) = 3 - 3 + 249*h**2 - 252*h**q. Let c(w) = -11*w. Give a(c(o)).\nAnswer: -363*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11130, -0.3, -13, -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.4 - 38. Let y = x - -34. Which is the second biggest value? (a) 5 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/11)*j)\/(j**(-30)\/j)*(j**(-2\/87)*j)\/j**4 assuming j is positive.\nAnswer: j**(28427\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 4 (b) -84 (c) 16811\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 = -1. Let l(a) = -2 + t - 63*a + 61*a. Let i(z) = z**2. Calculate l(i(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34250 and 560250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12027 or -12026?\nAnswer: -12027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 1. Let x(g) = 1374*g**3 - 4*g**2 - 2. What is -3*m(n) + x(n)?\nAnswer: 1374*n**3 + 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3430, -6639, -9664, -12505, -15162, -17635, -19924?\nAnswer: -22029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006165 to 6 dps.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 155*l**3 + 5415*l**2 + 9880*l - 660.\nAnswer: 5*(l + 2)*(l + 33)*(31*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2. Let w(x) = 1966*x + 30. Let i(a) = -13760*a - 215. Let g(t) = -6*i(t) - 43*w(t). What is g(m(u))?\nAnswer: 3956*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-10) + ((-31)\/(-2) - -1). What is the third derivative of -c**2 + h*c**4 - 8*c**2 - 10*c**4 + 2*c**2 wrt c?\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -48, -2.\nAnswer: -48, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3464017807.\nAnswer: 3464017807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 48104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (29 - -33) - (-38 + -35 + 81)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7455 + 16372 - 7837)*(0*p + 0*p - p) to w*p + s and give w.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, t: 6}. Give prob of picking 2 l and 1 t.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*c - 8*c, 3*j + 2*c - 38 = 0. Let g = 50 + -13. Calculate the remainder when g is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 11 = -5*i, 0 = -z - z - 6. Solve i*w - 6 = -2*u, -w - w + 1 = -u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/35 + 564\/14. Suppose o + z - u = 0, -2*o + 42 = -o + 2*z. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 13*k = 20*k. Let o be (-13)\/(-65) + (-6)\/(-70). Which is the smallest value? (a) o (b) -2\/3 (c) k (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y**2 - 5*y - 4. Let n = -1 - -7. Let s(d) be the first derivative of -10*d**3\/3 + 3*d**2 + 5*d + 31. Calculate n*s(z) + 7*l(z).\nAnswer: 3*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-12) + (-26)\/(-40). Let g = -61 + 428\/7. Which is the closest to 0? (a) -0.2 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.7, -148, 3.\nAnswer: -148, 0.7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1241 = -1031. Suppose 0 = -3*i - 134 + 449. Calculate the greatest common factor of i and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*g + 68*g - 2 - 69*g)*(2 + 557*g - 279*g - 280*g).\nAnswer: -116*g**2 + 120*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 128068 at least as big as 4610489\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 14 + 3 + 10 - 3*a. Let r be q(8). Solve 2 + 7 = -r*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 4\/3 (c) 2\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4341 - 3697 - 3046 + 2589)*(-2*p - 2*p + p).\nAnswer: 25485*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5899424 millilitres?\nAnswer: 0.0005899424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 2*k**3\/3 + k**2\/2 - 2*k + 2. What is the tens digit of f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -74948?\nAnswer: 74943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d = 20. Suppose 2*x + 8 = 0, -d*x - 6 = 3*k + 4. Let q(n) = 23*n - 433. Let i be q(19). Sort i, 9, k, 3 in decreasing order.\nAnswer: 9, i, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(50)*-2*-2 - (sqrt(100)*-2)\/sqrt(2) - (-3 + (-1*sqrt(8) - sqrt(8)) - sqrt(128)\/sqrt(4))))*2.\nAnswer: -4 + 76*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g + 65. Let s(k) = k**3 - 13*k**2 - k + 18. Let p be s(g). Suppose p = u - 8. Solve -4*c - n - 1 = u, -5*n + 5 = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 4294*b - 2498397. Give s(694).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29713 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2b5f61 (base 16) to base 5\nAnswer: 1211424330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 - 2*t**2 - 2*t - 14. Let k be (-9)\/9*(1 + 2). What is the remainder when s(k) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 5 - 4)*(4 + 8 - 2)*(-3*d + 2*d - 2*d) as f + i*d and give i.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25\/4 (b) 176 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 26194*v - 26196*v + 9, 87 = 5*o - 24*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9574, 9572, 9570, 9568, 9566, 9564?\n\"Answer: -2*j + 9576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5128 (base 10) to base 16.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8576 = 4*z, 2*y - 35*z + 30*z = 4309. What are the prime factors of y?\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92683.68 millilitres to litres.\nAnswer: 92.68368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 882168361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12453400339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 - 22*d**2 - 1254*d + 1279*d.\nAnswer: -31*d**2 + 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26942534 + 26942555.9999946. Let s = -22 + g. What is s rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (-16)\/(-9) - 8\/36. Suppose -t*a + 70 = -2*x, 5*a - x - 169 + 2 = 0. Calculate the highest common divisor of a and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4 - 6 + 2 + 3*u - 2. Let c(b) = -7*b + 5. Give 2*c(r) + 5*l(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1606 + -1106. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**21*x)\/x*x*x**(-3) assuming x is positive.\nAnswer: x**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/4080505 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m - 11. Suppose 5*x = m*x + 336. Let z = x + 59. Let o(r) = r - 3. What is o(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76 + -29?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 54 + 126 = 0. Let x = v - -69. Suppose 5*k + x = 108. Calculate the remainder when 29 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 80647?\nAnswer: 1451646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 - -2a61?\nAnswer: 2a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671 = -2264*p - 113871 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*c + 12, -4*c = -a + 3*a - 12. Suppose 3*f + 20 = c*i - 1, 4*f + 1 = -5*i. Suppose 5*x - 33 = 2*d, i*x - 4*d = 2*x + 21. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4)*(-75*f**2 + 317*f**2 - 112*f**2) in the form w + p*f + j*f**2 and give j.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 27*r + 38 - 513. Calculate the remainder when 6297 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-9 + (65 + -63 - (1 + -12))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 4*m. Give a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c**2 + 3. Let x(g) = -g + 29. Calculate a(x(h)).\nAnswer: 9*h**2 - 522*h + 7572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 11*k**3 + 9*k**3 + 8 + 4*k**3 to i*k + g*k**2 + o + l*k**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159 - -161.96. Let s = 1 - 3.5. Let x = s + n. What is x rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a + 53*a = 52*a + 26*a. Let v be (5\/6)\/((-25)\/(-20)). Factor a + 4*m**3 + v*m**5 + 8\/3*m**2 + 2\/3*m + 8\/3*m**4.\nAnswer: 2*m*(m + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -538, -537, -536, -535, -534?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, j: 4, y: 1}. What is prob of picking 2 j, 1 k, and 1 y?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrkrgnigggigiinnrngk. Give prob of picking 2 g and 2 r.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -13. Let o(c) = 3*c - 7. Let u = 5 - -2. What is the smallest common multiple of t and o(u)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 37*y**2 - 50*y + 471. Determine b(38).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 1617.67, -0.4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 163925928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2426 + 2516. Calculate the smallest common multiple of z and 52.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -182*f**4 - 17*f**2 + 114 + 14*f**2 + 3*f**2 with respect to f.\nAnswer: -728*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 512*j**2\/9 - 1049602*j\/9 + 4100\/9.\nAnswer: 2*(j - 2050)*(256*j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.99 times -46\nAnswer: 45.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 0.5, 3.47 in decreasing order.\nAnswer: 59, 3.47, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2025254 - -205?\nAnswer: -2025045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18187 is divided by 3029?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -3 - (-1 + -7). Suppose -m - 2*d = n, 5*d + 26 - 1 = -3*m. Let h be 2 + 30\/(-57)*4. What is the second smallest value in m, h, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/77976 and 5\/62092.\nAnswer: 3352968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43102 * 1007\nAnswer: -43403714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -14. Suppose -4*i + 6 = -2*j - 8, 5*i + 5 = -2*j. Is -14*i\/c*-11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -887090 divided by -10315\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 149, 69, 1581 in ascending order.\nAnswer: 69, 149, 1581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 557 or -25\/2?\nAnswer: 557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 79*s - 5664. Calculate n(-47).\nAnswer: 2467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 25015818825990\nAnswer: 25015818825989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -16538\nAnswer: -16537.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -137*j - 1511. Determine a(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 402, 905, 1610, 2517, 3626?\nAnswer: 4937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7813 - -7822. Solve c = 20*a + 49 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**3 + 12*l**2 + 48*l + 6. Calculate r(-3).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 553, 4447, 15013, 35587, 69505?\n\"Answer: 556*f**3 + 2*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 + 3. Let i be x(-2). Let o be (i\/6)\/((-6)\/12). Find the second derivative of 2*t - 6*t**2 - o*t - 5*t**2 + 2*t**2 wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 14) + (36 - 3) - -2 - 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/((-11)\/22)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201022.6629 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/10624080 and 24\/309869?\nAnswer: 74368560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 488857 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*d + 118 + 24, 4*d = -p + 139. Suppose q + 3*w - d = 0, -q - 4*q + 80 = -4*w. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.014 and -79.043.\nAnswer: -1.106602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 8*x + 10. Suppose 0 = -u + 6*u - 45. Let y be p(u). Suppose 5*k = -v - 20, -v - 4*v = 5*k. Sort v, y, 3 in increasing order.\nAnswer: y, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -100. Let q = s - -34. Let y = q - 3.4. What is y rounded to zero decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + 0 + sqrt(1216))*6 + sqrt(1216) + sqrt(1216)*-2*3 + -1)**2*6.\nAnswer: -672*sqrt(19) + 357510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 248, 241, 232, 221, 208, 193?\n\"Answer: -i**2 - 4*i + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 716890810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 12:25 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23248 is divided by 699?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -3*o + 11*z - 9, -4*z = 4*o - 20. Suppose -2*q + 27 = -5*l + 2, 3*l + 24 = 3*q. Sort -4, q, o in decreasing order.\nAnswer: q, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2389 = 9*r - 19894. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*a + 21. What are the prime factors of 1 - a - 1980\/(-12) - 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to 15353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, r: 2}. Give prob of sequence yyr.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((1\/(-2))\/(3\/2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112\/13 + 11239\/1300. Which is the smallest value? (a) w (b) -5\/6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdr when three letters picked without replacement from rddrddryyyd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23920909783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*u = -1946, -3*m - 2*m + 1934 = 3*u. Is 30 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*y + 9 + 1, 3*y = 5*x + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10695, 10688, 10683, 10680, 10679, 10680?\n\"Answer: l**2 - 10*l + 10704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.01 - -0.01. Let l = 9 + r. Let h = 4\/11 + -58\/99. Which is the nearest to -1\/2? (a) -1\/4 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152604367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1483 - -1925. Calculate the highest common factor of v and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-2 + 4 + 0)*(-2*q + 4*q + q) + (1 - 2*q - 1)*(-4 - 1 + 4) + 2*q + q - 2*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389841424*x + 10*x**2 + 389841424*x.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -914.005 - -918. What is w rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 3*m = -5*p + 19, -2*m = -p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 2*d**2 + d**2)*(-6*d - 9*d**3 + 6*d) + 2*d**5 - 2*d**5 - 2*d**5 + (4*d - 4*d - d**3)*(d**2 - 2 + 2) - d**5 + d**5 - 2*d**5.\nAnswer: 13*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2) - (-116)\/8. Suppose v + 15 = a. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -5, 0.8, -3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 238770*t.\nAnswer: -3*t*(t + 79590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + -4 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.27 - -0.27. Let i = -31.6 + 32. Let w = 0 + 3. Which is the nearest to r? (a) -3 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17765 = -24423*p + 24214*p for p.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 169577469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -0.1. Let h be (-4)\/54*(10 + -1 + -6). What is the fourth biggest value in h, 5, q, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 38 + 54, 5*u - 25 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*h - 24266 = 0, -7*j - 2*h - 121378 = -12*j. Does 106 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-285)\/38*40\/12. Let t = 71 - 35. Let f = v + t. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -123 - ((-21 - -13) + -53)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188157 and 9728.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289877889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/2)\/(-20))\/((-6)\/10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6828144 or -0.1?\nAnswer: 6828144","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 76513572.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04467 - -0.03533. Which is the nearest to -3\/4? (a) -5\/3 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, -339, -694, -1033, -1350?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = 4. Let b(u) be the third derivative of u**6\/120 + u**5\/15 - u**4\/12 + u**3\/6 - 33*u**2. Calculate b(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b - 6. Let d = -23 + 21. Let y be a(d). Let g(m) = -m**2 + 5*m + 6. Give g(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 28*a**2 + a. Let x(k) = -2705904*k. Determine x(d(c)).\nAnswer: -75765312*c**2 - 2705904*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*t - 102*t - 113*t - 101*t + 412*t - 4*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s*v**3 + 138*s*v - 224135039*s + 1707*v**4 wrt v.\nAnswer: 3*s*v**2 + 138*s + 6828*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 - 13 = 0. Suppose -21 = g*q + 2*n - 10, 21 = -5*q - 4*n. Which is greater: q or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 4*n**3 + 2*n**3)*(-10 + 14*n**2 - 28*n**2 + 13*n**2).\nAnswer: -3*n**5 - 30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 25481648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -174442 + 1742893\/10. Let m = -729\/5 - p. Let l = -3149 - -18793\/6. Find the common denominator of m and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3 + 0 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 1017*n + 1028*n - 16, -3*m - 3*n + 6 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -107, -303, -597, -1001, -1527, -2187, -2993?\nAnswer: -3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -13*r**2. Let m(h) = -11*h**2. Calculate m(d(g)).\nAnswer: -1859*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -24*q**2 - 488*q + 260. Calculate t(-23).\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348 - 8*m**2 - 348.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 38646, -1, 2, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.2. Let u = 225 + -229. What is the closest to p in 0.5, -2\/5, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from hzzzhdhhhq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21588, 21547, 21506?\nAnswer: 21465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -13. Let o be (-2)\/l + 296\/56. What is the second derivative of o*f + 4*f**4 - 3*f**4 + 2*f**4 wrt f?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*n**4 + 137*d*n**3 - 2*d + 329*n**4 + n**3 + 89017*n**2 wrt n.\nAnswer: 48*d*n + 822*d + 7896*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 231 = 13*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*b + b**2 + 251*b + 20560 - 20560.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1 + (-5 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 7, -2\/5, -4, 491, 0.18?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3) + (-938210)\/671181.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 363 = d - 3*m, -5*d + 3*m = 387. Let j = d + 105. Calculate the greatest common factor of 40 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -28, -75, -146, -247, -384, -563?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -287, 1, 10, -3 in decreasing order.\nAnswer: 10, 2, 1, -1, -3, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s + 25. Let x be u(-6). Let q = -78 + x. What is the greatest common divisor of 100 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b294 + -2?\nAnswer: -b296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 + 131. Which is the closest to -0.1? (a) -1\/9 (b) -12 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 + 0.26. What is the closest to -0.1 in w, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 - -69. Let s = -40 - x. Let g = s + 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 0 - 6993\/(-7). Suppose 0 = 2*a + 706 - z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/15696 and 13\/34.\nAnswer: 266832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 266?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*j**2 + 26*j**2 - 60*j + 9*j in the form i*j**2 + h + w*j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-12))\/((351\/81)\/13)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2201*m + 1064*m - 1080 = -1083*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -108\/5. Let d = -1.71 - -1.91. Which is the closest to -1? (a) u (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2. Let y(k) = -4*k**2 - 3*k + 3. Let z(w) = 5*r(w) + y(w). Let d be z(5). Differentiate 14*i**2 + 280*i + d - 280*i wrt i.\nAnswer: 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 546 - 4194*l + 8388*l - 4195*l to h*l + y and give y.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -860*y**3 - 2069*y.\nAnswer: -5160*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -49, -95, -159, -241, -341?\n\"Answer: -9*t**2 - t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t + 10*t - 7*t + 4 - 4 - t + (0 + 2 - 1)*(-3*t + t + t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:34 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c + 16*c - 39. Let s(z) = -5 - 5 - z**2 + 8*z + 6*z + 0*z. Let l be s(c). Solve l = -m - p + 5, -4*m - 1 = -5*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190325*p**3 + 92*p - 4660 wrt p.\nAnswer: 1141950*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/273)\/((304\/(-24))\/(-19)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18100\/22625)\/(1\/(-8))?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**6\/120 + g**5\/10 + g**4\/8 + 7*g**3\/6 + 4*g**2. What is the tens digit of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 785161188.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdgoand. Give prob of sequence oan.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 7. Let z(x) = -2*x**3 - 63*x**2 - 31*x - 5. Let t be z(-31). Sort k, t, 5 in decreasing order.\nAnswer: 5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 0.28, -4\/5, 0.07, -0.0025, -1.9?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 26. Solve -z + 4 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(1\/4)\/(12\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -4, -1\/9, 201\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/2*46\/115. Solve 6*n = s*p + 3*n, 5*p - 2*n = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/(1\/(-3)). Let y(b) be the first derivative of 13*b**2 - 4*b - 3. What is the tens digit of y(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 + 0*r**2 - 2*r**2)*(-2 + 3 + 2)*(-636 - 497 - 850).\nAnswer: -11898*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4150)\/600)\/83*12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5997274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20025 is divided by 2811.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 1:38 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-30) + ((-114)\/(-36))\/19.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Let y(w) = 3*w - 5*w + v*w. Let k(d) = d**2 + d. Calculate 4*k(a) - 2*y(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 > 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -8. Suppose 0 = -0*a - a + t. Let x = -2 + 18. Solve a*r = r - x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232010314101 - -2?\nAnswer: 232010314103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 663012.81 milliseconds?\nAnswer: 0.007673759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + ((sqrt(1900) + 0)*5 - sqrt(1900))**2 + -2*(1 + sqrt(1900))**2)*-4 + -1)*-4.\nAnswer: -640*sqrt(19) + 425572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 3, -917, -2 in descending order.\nAnswer: 3, -3\/4, -2, -917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffdd when four letters picked without replacement from {d: 5, f: 2, r: 6}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7868092 divided by -2\nAnswer: 3934046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by -16\nAnswer: 39\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12013 - 12013. Which is the nearest to 0? (a) -61 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, and 2 f when four letters picked without replacement from {q: 2, f: 5, h: 3, b: 7}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*38\/(-76)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 3*b + 13 + 1\/3*b**3 + 0*b**2. Differentiate u(m) with respect to m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170274000 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*q**5*r**2 + 32*q**5*r + 7233*q**2*r**2 wrt q.\nAnswer: 1980*q**2*r**2 + 1920*q**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -644*o**6 + 6*o**2 + 25*o wrt o?\nAnswer: -77280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - d - 7. Let o be 5\/(20\/(-4)) + 18. Let z = 22 - o. Let u(p) = -1. Let n(m) = 2*m**3 + 2*m**2 - 1. Let r be n(-1). What is r*a(f) + z*u(f)?\nAnswer: -f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000070268 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 18. Let a(x) = -x**2 + 7*x + 5. Let o be a(k). What is the second derivative of z**o - 3*z**5 - z**5 + z wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*h - 159 = -0*q, -3*q + h - 171 = 0. Let v = -36 - q. Suppose 12 = 24*k - v*k. Solve -6*o + 15 = -k*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + -37. Let d = -27 - w. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37119*h**2 + 228 wrt h?\nAnswer: -74238*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - 526\/8. Let u be (-4)\/10 - w\/15. Suppose u*f + 0*f - 40 = 0. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 406*d**4 - 702*d**3 - 2*d**2 + 496056*d - 3 wrt d.\nAnswer: 4872*d**2 - 4212*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Let g(m) = 20*m - 3610. Calculate f(g(i)).\nAnswer: -40*i + 7220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/1800 + 7*v**5\/300 + 49*v**4\/120 + 19*v**3\/3 - 68*v**2. Let c(g) be the first derivative of q(g). What is u in c(u) = 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 37204136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.97 - -0.67. What is the nearest to -2 in -9, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7459\/6 - -1240. Find the common denominator of u and (-3)\/3 + 43\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**3\/l)*l*l\/(l\/(l\/l**(8\/3))))\/(l\/(((l*l*l**(-3))\/l)\/l)*l**(2\/33)))**(17\/2) assuming l is positive.\nAnswer: l**(-629\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(405) + -1 - sqrt(405) - sqrt(405)) + 5)**2.\nAnswer: -216*sqrt(5) + 3661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-852)\/(-1065))\/((-8)\/10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u**2 + 374*u + 374. Calculate the lowest common multiple of h(-1) and -5*16*3\/(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*t + 74 = 0, -36 = 95*k - 86*k - 3*t + 87 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:35 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2682*s. Let h(d) = 2588*d**2. Determine l(h(j)).\nAnswer: 6941016*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 297 - 287 = -4*y, -2*o = 4*y - 284. Calculate the remainder when 1499 is divided by o.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1\/2*p**2 + 1\/2*p**3 - 2*p = 0. What is p?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344343673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24, 122, 292, 534, 848, 1234, 1692?\n\"Answer: 36*f**2 - 10*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 586312 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28788405 - -20330405. Round y to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 54.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1527 - 1527 + 5*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.1. Let x = 0 - w. Let f = -7427 + 37133\/5. Which is the smallest value? (a) f (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1886 - 1886 + 21*j**3.\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.418 to one decimal place.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 + -13. Let r be (30\/9 - 4)*a. Let j = -55 - r. Solve 3*d - j*y - 12 = 0, -4*y + 0*y - 22 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-4))\/(-1*(-2)\/(-4)). Solve p*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.893531 rounded to two decimal places?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544986?\nAnswer: 2, 3, 13, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 4. Let l(g) = 3*g + 16. Determine z(l(h)).\nAnswer: 6*h + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/42 + (185\/(-30))\/37\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2090, 2024, 1910, 1748, 1538, 1280?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Suppose m = p - 2. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -2. Let o be g - ((-20)\/(-5) - -1). Suppose o = -3*q + 58. Solve -2*b = -5*b + 3*v + 21, 2*v + q = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1750.34924 + -378.\nAnswer: 1372.34924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 219103 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: In base 3, what is 0 - -111221122?\nAnswer: 111221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/56534 and -37\/7374.\nAnswer: 169602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93534065 is divided by 559.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 266256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218217 + 580178. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840*x = -391*x - 57857 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 342.1405nm?\nAnswer: 0.00003421405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.63 - 0.07. What is the smallest value in 5, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -969, -4 in descending order.\nAnswer: -1, -4, -969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 26. What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.689009 millennia in decades?\nAnswer: 968.9009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*z + 20 + 99 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 5. Let g be j(5). Solve 0*z + 2*z = g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 691 * 18.5\nAnswer: 12783.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25217*m - 87402.\nAnswer: -25217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1506 - -660.1506. Let l = -660.00000321 + x. Round l to seven decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/(sqrt(500)*3))\/(sqrt(567)\/sqrt(9) - sqrt(224)\/sqrt(2)).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) -84 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 12055000?\nAnswer: 12054998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 - 5*o**2 + 0*o**2)*(-201 - 368 - 161 + 206) in the form x*o**2 + i + p*o and give x.\nAnswer: 2620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from dzxfdxfdzdddzfx?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 361*f**7\/7 - 460*f**3\/3 + 104. What is the third derivative of o(u) wrt u?\nAnswer: 43320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3 + sqrt(2057)*-1 - sqrt(2057)) + -5 + 3*sqrt(2057))**2.\nAnswer: 22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + 6*sqrt(2299)*-3 + (sqrt(2299) - (-1 + sqrt(2299)*-3))**2 + 4.\nAnswer: -110*sqrt(19) + 36791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/104 - 2\/8) + (-8)\/32. Which is the third smallest value? (a) 9 (b) 1\/12 (c) 4 (d) v (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12066 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, a: 3, e: 1, s: 2, h: 1, q: 1}. What is prob of sequence nqa?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1452131442 + 5?\nAnswer: 1452131451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 0 = 28*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150394.\nAnswer: 2, 29, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = -2. Suppose 0*d + 3*v = 5*d - 23, -d + a*v + 8 = 0. What is the common denominator of (-100)\/(-6)*1\/d and -127\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-4\/3)\/h)\/h)**(2\/45)\/(h*h\/(h**(-2\/3)*h))**(-41) assuming h is positive.\nAnswer: h**(9211\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 5\/2, 0, 2\/11.\nAnswer: 0, 2\/11, 5\/2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from tuuii.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-4) - (-1 - -6). Suppose 8*c - 10 = 6. What is the nearest to 0.2 in 1\/5, n, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -16. Calculate the remainder when 26 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1231 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103590610*v**3 - 2211751*v**2 wrt v.\nAnswer: -621543660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36267*q**3 - 3352*q**2 - 5*q?\nAnswer: -217602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605262?\nAnswer: 2, 3, 7, 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 + 5*i**2 - 12*i**2 in the form j + l*i + z*i**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.007, -1\/17, -1.75, -118, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 9:26 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.12 + -1.62. What is the second biggest value in d, -2, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 62316*w. Let o(g) = -g**2. What is h(o(l))?\nAnswer: -62316*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/699783 and -19\/1099659?\nAnswer: 7697613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9311*l**4 + l**2 + 9276*l**4 + 3*l**3 - 9*l**3 as d*l + p*l**2 + a + r*l**4 + m*l**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6736*y - 3368*y - 36*y**2 - 3367*y to the form q*y**2 + p*y + m and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 105540.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-6) - (-163)\/(-6). Let w = i + 49. What is the least common multiple of w and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -6. Let h(u) = 2*u**2 - 8*u - 3. List the prime factors of h(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 8:55 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-39)\/(-26)*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*90\/(-840)*(-112)\/462.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*m - 112 = -29*m - 38*m. Solve -m*y = -21*y + 12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14959 is divided by 245?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12536209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371 and 280.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2735 + -1930. What are the prime factors of i?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*n + 4*n. Let c(b) = -3*b + 2*b**2 + 4*b - n*b**2. Let u(w) = -4*w**2 + 5*w. Let s(l) = 5*c(l) - u(l). Let a(t) = -2*t**2. Give s(a(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 + 5*l + 6. Let p be h(-5). Let i = p - -86. Let q = -131 + i. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 3*v**2 + v - 9. Let w be t(-4). Suppose x = -4*u - 0 + 20, 0 = -w*x. Solve y - 12 = u*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1263907 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3768 - 13979. Let m = -7050 - f. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11770 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 114\/(-4) - (-33)\/22. What is the common denominator of 109\/12 and (-25*(-1)\/159)\/((-6)\/w)?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 + 300. Let k(b) = -4*b + 7*b - 11*b + p*b - 3. What is k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 62, 72, 86?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -40*x**2. Let j(i) be the first derivative of 0*i + 1\/2*i**2 - 79. Calculate j(s(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Suppose -37 - 11 = -4*k. Suppose 3 = 5*t - k. Solve t*i - 4 - m = 2*h, 2*h + 6 = 2*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 141?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5.7 (b) 0.4 (c) -2 (d) -208 (e) 1 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2.06, 4, -0.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1060*u + 378*u + 347*u + 343*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.00089 - -0.06551. Which is greater: -2\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttrhtttttr. Give prob of sequence thtt.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*b - b - 11*b**3 + 3*b**2 - 11*b + 38 with respect to b.\nAnswer: -33*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 23229 and 673669\/29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -9*n + 264. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 11*r**2 - 6*r - 10. What are the prime factors of h(10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/7*(11 + 6\/44 + (-75187)\/5137).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304716617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1766 + 5.1766. Let l = 0 - -1. Let r = l + -2. Is r at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a centimeter in millimeters?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -45.019782 and 1089.\nAnswer: 1043.980218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -0 - 8, -8 = 2*d - 4*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 34 - 78. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9c (base 14) to base 5\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 84, 3, -1 in decreasing order.\nAnswer: 84, 3, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5338 and 8321?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -y - 3*f, -2*f + 11 = 4*y - 81. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 + 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*4 + 2)**2.\nAnswer: 112*sqrt(19) + 14900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/84*(-27)\/((-594)\/308).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -3*b**6\/20 - 19*b**3\/6 + 7*b**2 + b. Let p(v) be the first derivative of x(v). What is the derivative of p(t) wrt t?\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 2324*i**2 + 70620*i + 191052.\nAnswer: 4*(i + 3)*(i + 29)*(i + 549)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -23*x - 141. Let f be o(-7). Let s(n) = -n**3 + 20*n**2 + 9. Let d be s(f). Calculate the greatest common divisor of d and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 186*p - 198*p + 6884 - 6946. Give t(15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -5, -30, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 224067.\nAnswer: 896268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/16303 and -9\/274?\nAnswer: 32606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-36)*-33*(-38)\/1463?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q - q**5 - 3*q - 3*q**5 + 4*q**5 - 2*q**5 + (2*q**2 + 9*q - 9*q)*(-3*q**3 + 2*q**3 + 0*q**3).\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1719922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 794516, 17, -5 in ascending order.\nAnswer: -5, 0, 17, 794516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and -72.90081.\nAnswer: -73.50081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*f + 758*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3956, 15833, 35630, 63347, 98984, 142541, 194018?\nAnswer: 253415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g + 2. Let l be p(3). Let t = 10 - l. Solve -3*f - 9*f + 3*f**t + 14 + 2 - 4 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) + 0 + -5))**2 + 0 + (-3*sqrt(156)\/sqrt(4))\/((sqrt(12)*-1)\/sqrt(4)).\nAnswer: 3*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 4*(-1)\/(-2). Suppose -5 = -t - s. Suppose m + 0*a - 18 = 2*a, 32 = t*m - 3*a. Solve 2*w - 5 = 5*y, -y = 4*y - w + m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3*1\/(-2). Let y = 0.371 - 0.218. Let o = -3.153 + y. Which is the nearest to -0.1? (a) v (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-416)*-26)\/(2\/144).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1111\/8 + 139. Let y = 3 + -6. Let j = 2.8 + y. Which is greater: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 23 = -17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 18*m = -42. Suppose -6112 + 1663 = -m*t - 3*o, 3*o = 4*t - 5918. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from nnntttnknntnntttttnn?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y = -84. Let g = y - -119. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -20*x**6\/3 + 213*x**2\/2 + 41*x - 27. Let p(d) be the first derivative of a(d). Differentiate p(t) wrt t.\nAnswer: -800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.2 + 0.2. Let i be (2\/6)\/((-12)\/(-45)*13695\/(-1826)). Which is the biggest value? (a) -0.41 (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**31)**11)**(-30) assuming j is positive.\nAnswer: j**9900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155603*v**2 + 1158*v + 136?\nAnswer: 311206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 50755 (b) 2 (c) 4 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*q - 2917 + 314 = -37*q + 2191 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 + 2.5. Let q be 2\/(-8) - 42\/(-8). Let n be 1\/q*5\/(-6). Which is the second biggest value? (a) w (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 3880*d**2 - 591456*d - 1421937792.\nAnswer: -2*(d - 1212)**2*(d + 484)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15750 (base 9) to base 12\nAnswer: 6316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10707815*0.5.\nAnswer: 5353907.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*p + p = 0, 0 = 3*o + 2*p - 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 154 + 112. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 26 = -2*f, -f + 2*n = 2*f + 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0887 - -47.2113. Round n to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -1) + (-28)\/16. Let d = 0.53 + -4.73. Let w = 4 + d. Sort w, j, 5 in ascending order.\nAnswer: w, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.4, 255, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 62*o - 126. Determine u(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 6*v**2 - 7*v + 6. Let n be (0 - (0 - 4)) + -11. Let i be z(n). Let y be (1\/(10\/i))\/(-3). What is the nearest to y in -4, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 11:38 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.27 + 69.73. Let x = -10.829 + -0.271. Let f = -11.4 - x. Sort f, -0.2, u in decreasing order.\nAnswer: u, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -21. Let r be w - (-2 - (-2079)\/15). Let h = r - -140. Sort 5, h, -1\/5.\nAnswer: -1\/5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/2 + 41 + -19)*((-148)\/75 - -2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 99331.28.\nAnswer: -99333.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 4*s**2 + 2*s - 15. Determine x(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6*x. Suppose 3*v - 2*v - 2 = x. Suppose 64 = 2*k + 2*u, 2*u + v*u = -3*k + 97. Solve 2*g - k = -5*f + 4*g, 0 = -3*f - 5*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 643438222, 1286876444, 1930314664, 2573752882, 3217191098?\nAnswer: 3860629312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -103097, -50, -4, 1 in descending order.\nAnswer: 3, 1, -4, -50, -103097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-49) + -4)\/(469\/335 - (-1662)\/(-1155))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 2 = 19*c - 2*k - k + 4*k, -8*k - 27 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**2 + 5*i**2 + 19*i**2 + 35*i**2 in the form s + k*i**2 + r*i and give k.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/5455002 and 89\/10626.\nAnswer: 60005022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1564648225 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -899\/2 (b) -81 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**2 - 36*l + 410. Determine u(-23).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5 + 3 - 8*l + 3*l**2 - l**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/a**(-2))*a**(-4)*(a\/a**(-3))\/(a**7*a*a)*((a\/a**(-3))\/(a**9\/a))**(-48) assuming a is positive.\nAnswer: a**181","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*q = 4*q + 2*q + 1, 0 = -q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2105805 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21120010 + -101?\nAnswer: -21120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.01 + -0.01. Let t = -4.11 - -0.11. Let i = 6 + t. Which is the biggest value? (a) i (b) n (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23576085 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/21)*a**0*((a\/a**2)\/a)\/a*a**6)**(-2\/55) assuming a is positive.\nAnswer: a**(-172\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in 5, 4, -1\/7, -16, 4\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -53*i**2 + 1181*i - 5781. Calculate c(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -14*q + 71 + 6*q - 41 + 46. Calculate the remainder when d(-16) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -408*w + 411*w - 182, -323 = -31*x - 6*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.42 + -0.22. Let m = 4 - u. Let r = -17.23 - -17.13. Which is the closest to r? (a) -4\/5 (b) m (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)*r**20)\/(((((r\/(r**(-14)\/r))\/r)\/r)\/r)\/(((r\/(r*r**15))\/r)\/r)))**(-12\/5) assuming r is positive.\nAnswer: r**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2 - 26*t**2 + 44 - 16*t**2 + 6*t**2 with respect to t.\nAnswer: -70*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z**3 + 6*z**2 - 6*z - 358. Let o(d) = -2*d**3 - d**2 + d - 1. Determine -n(p) - 6*o(p).\nAnswer: -p**3 + 364","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a*d + 2*a*p**3 + 77*a*p**2 + 2*a - 3*d**3*p**3 - 6*d*p**3 wrt d?\nAnswer: 3*a - 9*d**2*p**3 - 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*s + 462*s = 929*s - 108 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 232, 355, 478, 601?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(sqrt(300)*-3)**2*-1 - (-5*((sqrt(300) + -5*sqrt(300))*-4 + -1))**2.\nAnswer: -1914625 + 8000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 167*b + 27116. What is z(101)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 1 - 2*s + 0*s**2 + 0*s**4 + 0*s**3 + 3\/5*s**5. Differentiate y(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29476 is divided by 29119.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -35 - 40 - n + 115 - 40. Let u(o) = 10*o**2 - 25. Calculate a(u(s)).\nAnswer: -10*s**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3548.00012539 + 3548. Round f to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.12 + 0.12. Let t = l + 7.5. Let y be 1\/2 - 11\/30. Which is the closest to -0.2? (a) 0.5 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0097 and -0.4.\nAnswer: -0.00388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/10 (b) -12\/5 (c) 2 (d) 8\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -0.15, 2, -1\/2 in decreasing order.\nAnswer: 23, 2, -0.15, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4))**(-39)*(w*w*w**(1\/2)*w)\/(w\/w**(-5\/7)) assuming w is positive.\nAnswer: w**(2209\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.176918 rounded to 3 dps?\nAnswer: -0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -363?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014432278 rounded to 5 dps?\nAnswer: -0.01443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, h: 2}. What is prob of sequence hjjj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n + 3. Let o(y) = -6*y + 4*y - 187 - 2*y + 185. Give -5*h(t) - 8*o(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkojkkookjkokkkookok. What is prob of sequence koo?\nAnswer: 77\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67406046*h**2 + 115569175 wrt h?\nAnswer: 134812092*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 167, 372, 659, 1028?\nAnswer: 1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -308106, -308089, -308060, -308019, -307966, -307901, -307824?\n\"Answer: 6*q**2 - q - 308111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 9700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 548539821 and 7893.\nAnswer: 7893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -8.5. Let f = 0.13 - 0.03. Which is the nearest to f? (a) s (b) -2\/7 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2 + 2354*k - 2119 wrt k.\nAnswer: 2*k + 2354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/4 (b) -2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0455 times -0.2?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n - 2. Let u(j) = -j**2 + 12*j - 3. Let y be u(11). Let w = -5 + y. List the prime factors of d(w).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 13*m - 20. Let y be z(9). Let i be (1\/4)\/((-70)\/y). Let w = -3 + 1. Sort w, i, -3.\nAnswer: -3, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybb when three letters picked without replacement from {y: 4, b: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*h - 18, 4*h = d - 2*d + 12. Suppose d*j - 19 = 29. Let a be 41\/5 + j\/(-60). Solve 0 = 4*p - z + a, 5*p + 5*z - 3*z + 23 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481 + -1490 - (-6 - -84 - (-1 + -2))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429291160 and 2440?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 7*u**2 + 19\/8*u**4 + 52\/3*u**3 + 0*u + 0. Differentiate d(t) wrt t.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*12528\nAnswer: -12528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 10:54 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26096 and 600096.\nAnswer: 139822368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:31 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3250+1350894.7285\nAnswer: 1347644.7285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 9 + 73*c**3 + c - 12*c**4 + 11*c**4 + 11 in the form p*c + f*c**2 + a*c**4 + r*c**3 + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*u - 17 = -81. Sort -0.5, -0.01, u, 6.\nAnswer: -0.5, -0.01, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*20\/(-5)*4*(-24)\/256.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49476 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 19804*q - 19804*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 3*m**2 - 5*m + 4. Let p = 7 + -4. Let v be j(p). Let q(o) = -o**3 - 11*o**2 + o + 15. What is the units digit of q(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90189998?\nAnswer: 2, 17, 19, 149, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Sum -124963 and 1.79959.\nAnswer: -124961.20041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -9. Let o be -20*2 + 0 + 4. Let r be (-4)\/(-3) + 57\/o. What is the nearest to 1 in -1, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((520\/30)\/13)\/(44\/264)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: b\"What is the oth term of 862, 1716, 2570, 3424, 4278, 5132?\n\"Answer: 854*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkb when three letters picked without replacement from mkddmbdbckmbtkb.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(51)\/(1*sqrt(3)) + -2)**2 - ((sqrt(136) + (sqrt(136) - 2*sqrt(136))*-1)\/(sqrt(8) - (sqrt(16) - sqrt(64)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: -42 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/(-12))\/((-1)\/(-3)). Let g be (-4)\/(-6) - u\/3. Suppose 25 = r + 2*r + g*i, 2*i = r + 5. Let b(z) = -z + 3. Give b(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -966.6 + 966.71563. What is x rounded to 3 dps?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57173, -114344, -171515?\n\"Answer: -57171*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231749.\nAnswer: 7, 33107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 38*l - 7. Let f(i) = 115*i - 20. Let o(b) = 4*f(b) - 11*k(b). Is o(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261064895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 78425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -3212\nAnswer: -93148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4707 divided by -444\nAnswer: -1569\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 1071, 1612?\nAnswer: 2153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(11) + -1 - (-4*sqrt(11)*2)**2*-6.\nAnswer: sqrt(11) + 4221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 112, 255, 410, 583, 780?\n\"Answer: q**3 + 136*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 14*i + 32.\nAnswer: -(i - 16)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k + 6. Let b(a) = a. Let i(g) = -b(g) - u(g). Let d be i(7). What is the highest common factor of d and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 22440*k**2 + 268848*k + 806112.\nAnswer: 4*(k + 6)**2*(k + 5598)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18950.8039555 + -18951.2. Let m = -67.6034455 + r. Let l = 68 + m. Round l to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**6\/40 - x**5\/60 - x**4\/24 - x**3\/6 - 6*x**2 + 554. Determine r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/4*(-2412)\/(-9045)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(96\/(-14))\/8 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 8) in base 7?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21258 + 2*a**3 + 2*a**4 - 21258 + 55*a + 0 + 0 + 2*a**4 + (-a**4 + a**4 - 2*a**4)*(-1 + 2 - 2).\nAnswer: 6*a**4 + 2*a**3 + 55*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158*h**5*o + h**3*o - h**2*o - 12*o wrt h.\nAnswer: -9480*h**2*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(60)*-3 - sqrt(60))\/(sqrt(12) - (sqrt(12) - (sqrt(36)\/sqrt(75) - sqrt(12)))) + (5 + sqrt(405) - (sqrt(10)*5)\/sqrt(2)))**2.\nAnswer: 90*sqrt(5) + 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by -213?\nAnswer: 27\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 34. Suppose 4 = -2*x + s*x. Let v(w) = -w**2. Determine v(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3\/(-4))*21\/14. Let u = -18 + 26. Let y = u + -11. What is the biggest value in o, 1, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 38. Let l be k(-10). Suppose 0 = -19*a + 49 + l. Solve -m = -a*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -3\/4, 2\/5, -23\/4, 14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = y - 9. Is y smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86533566 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16464017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 14. Let o(n) = -4*n**3 + n. Let r = 1 - -1. Let j(z) be the first derivative of -z**4\/4 - 4. Give r*o(t) + w*j(t).\nAnswer: t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.36295 and 0.3.\nAnswer: -4.06295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377899679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -15*f**2 - 20*f. Let b(u) = -18*u. Calculate b(s(r)).\nAnswer: 270*r**2 + 360*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16338061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/((-45)\/(-10))*-2. Solve 3*b + w = -3*m - 2, -5*m = -3*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*o = -281*o + 3390. What are the prime factors of o?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(1\/5)))\/q)\/q**(2\/9)*q**(-2\/33)\/(q**(-14)*q) assuming q is positive.\nAnswer: q**(5701\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 463201*w**2 + 4*w - 5. Let g be h(-5). Round g to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 4*a**2 + 13*a + 3. What is f(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 683940570*q**3 + 1530*q**2 + 7086*q - 3 wrt q.\nAnswer: 4103643420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2620\/(-145) + (-200)\/(-2900)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24407.61l in millilitres?\nAnswer: 24407610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40981815?\nAnswer: 3, 5, 7, 17, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3305047535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkkl. What is prob of picking 1 l, 1 k, and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 5*(sqrt(72) + (sqrt(72)*-4 - sqrt(72)) + -5))*-4 + -4)**2.\nAnswer: 96000*sqrt(2) + 470800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 4*p**2 + 6*p. Let t(o) = 7*o + 5. Let y be t(-4). Let d = y - -6. Let w(u) = -3*u**3 - 11*u**2 - 17*u. What is d*j(r) - 6*w(r)?\nAnswer: r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 take away 410349185?\nAnswer: -410349168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 1. Let z(l) = j*l**2 - l**2 - 5*l**2 + l**2. Let d(f) = -2*f**2. What is z(d(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4645 or 4644?\nAnswer: 4645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -115\/4*o**4 + 185 + 0*o**3 - 175*o + 0*o**2. What is the derivative of v(u) wrt u?\nAnswer: -345*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29a - a?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 293990\/7524 + 20\/(-110). Let t = -21\/38 - o. Let z = t - -39. Sort 0, -2\/21, z in increasing order.\nAnswer: z, -2\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 46*p**2 + p + 1. Let a(n) = n**3 + 5*n**2 - 6*n - 1. Let q be a(-6). Let m be k(q). Round m to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11469? (a) -2\/7 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 36 = -2*i. Let k be i\/(-16) - 3\/4. Solve 0 = 2*h + 4*f - 4, k*f + 5 = -5*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**3 - 4*j**2 + 121*j + 413. Let b(z) = 13*z**3 - 9*z**2 + 241*z + 826. Let t(r) = 4*b(r) - 9*f(r). What is the first derivative of t(i) wrt i?\nAnswer: -6*i**2 - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0129362954 - 5.\nAnswer: -6.0129362954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: 6 + 6 + -29 + 59 + -12\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let y(u) = 4*u**2 - u. Let h be y(1). Find the third derivative of -3*q**3 + q**3 + q**k + 4*q**h wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 4:00 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38093?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183106719.\nAnswer: 3, 2633, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21650.8 times -0.7?\nAnswer: -15155.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0481387992 rounded to five dps?\nAnswer: -0.04814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -55158 and -55167 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527936 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 12. Let p(v) = -v + 6. Suppose 9*t - 636 + 591 = 0. Calculate the remainder when p(h) is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10887 + 10887. What is the second biggest value in m, 2, -2\/2673?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 17*h**2 + 24*h - 65. Let v be i(-15). Suppose 0 = -v*r + 47683 + 34042. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-24)*(-56)\/350*-15.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86958 and 879.\nAnswer: 25478694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a53 (base 12) to base 15.\nAnswer: 717c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -61*d**5 - d**4\/2 + 1335*d**2 - 2244. Find the second derivative of v(y) wrt y.\nAnswer: -3660*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275662 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*l + 0 + 8 = 0, 3*l = 0. Suppose -4*t = o - 46. Suppose -4*z + 92 = 4*n, 0*z - t = -z + 2*n. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 92 - 120. Suppose -5*n + 17 = -w. What is the remainder when n is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 557\/3 (c) 42 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58653, 117273, 175895, 234519, 293145, 351773?\n\"Answer: w**2 + 58617*w + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 513 and 16011?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.9 + 5. Let o = -0.1 + n. Let q = 3 - 5. What is the second biggest value in q, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52923*3.3.\nAnswer: -174645.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -20 (c) 1\/7 (d) -1\/5 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 20*n + n**2 + 3*n**4 - 13*n - 3*n**3 + 1 to the form k*n**4 + f*n**3 + w*n**2 + a*n + h and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -0.4\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752702954.\nAnswer: 2, 5801, 64877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2)\/(7 + (-5 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3 + 2 - 2*m + 3. Let f(i) = i**2 - 4*i - 15. Let h be f(7). Calculate a(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -699.9 or 1\/7?\nAnswer: -699.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/12 - 24*r**2. Determine x so that o(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:46 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0 + 6. Let t = 21 - h. Suppose 3*o = 5*p - 62, 0*o - o = -2*p + t. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 4:52 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from eeewewjpjjwe.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 3\/((-9)\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10*x**2 + x + 13. What is i(6)?\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*l - 59*l + 24. Suppose l = -q + p + 5, -3*q + 5 = -p. Let g = 0.2 - 0.1. Is q > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4270\/1372033 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1042*g**4 - 2 + 471*g**4 - 5 + 292*g + 5 wrt g.\nAnswer: -6852*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**6\/720 - r**5\/12 - r**4\/4 - 5*r. Let j(f) be the third derivative of g(f). Determine j(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 11*l = 15*l + 80, d + 2*l = 24. What is the greatest common factor of 400 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 30*q**2 - 68*q - 12. Calculate the remainder when n(8) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {a: 4, y: 2, i: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 441 = 279. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, -5159, 2 in decreasing order.\nAnswer: 2, -198, -5159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-10) + ((-12)\/(-5))\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 35 = -4*u, 43 = 16*d - 15*d - 5*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1554 divided by -4\nAnswer: -777\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z - 2. Suppose 0 = -2*q - h, -2*h - h - 11 = -5*q. Let f be w(q). Solve f*r - 12 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1172*k**4 + 7*k**3 - 36182*k.\nAnswer: -14064*k**2 + 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a - 4. Let b be o(2). Solve -b = 4*m - x + 5*x, 0 = -3*m + 5*x - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**4*y + 34207*h**3*y - 2*h**2*y + h**2 + 2*h + 12 wrt h.\nAnswer: 24*h*y + 205242*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 82022.\nAnswer: -410110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 9. Let v be z(-11). Suppose -3*q + 0*h - 3 = -3*h, 29 = -5*q - h. Which is the nearest to v? (a) -1 (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 r when four letters picked without replacement from rrrrararrar?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 16601647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 3984056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 2119.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -306*o**2 + 4 + 15*o**4 + o**3 + 615*o**2 - 10 - 307*o**2 to the form k*o**4 + s*o**2 + g + p*o + a*o**3 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 2*x**3 + 3*x**3)*(-25*x - 252293 + 252293).\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 35. What is the highest common divisor of 72 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 163579\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-3)\/60)\/((-522)\/(-145))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:01 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246426110 divided by -207737685?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465164 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224220 and 12?\nAnswer: 224220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 + 285*q**2 - 3544*q - 323. What is l(-154)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -25, -5 in decreasing order.\nAnswer: -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604*f**2 - 23230415531 + 23230415531.\nAnswer: -604*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2495 and -2002.\nAnswer: -2001.7505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -81365, 1, 108 in descending order.\nAnswer: 108, 4, 1, -81365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 + 9*b**4 - b**2 + 7*b**4 - 17*b**4 - b**3 - 5*b to the form o*b**2 + s + l*b**3 + n*b**4 + f*b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 - -37. Let m = i - -70.9785. Round m to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000040347 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 166404151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (48 - -57) + -39?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v + v)*(-6*v**2 + 0*v**2 + 4*v**2)*(-3*v - 2*v + 15*v + (2 + 0 - 4)*(-2 + 2 - v) - 2 - 9*v + 2 + 2*v - 3*v + 3*v).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from sataacatgwss?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4953938 is divided by 825654?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 112193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 194*x - 197*x + i + 1, -8*x - 28 = 5*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462249862 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 1, 5, 54 in decreasing order.\nAnswer: 54, 5, 1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -66 + 33 + 1 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26433 divided by -90.\nAnswer: 2937\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 8*a + a**4 + 6*a - 61*a**3 + 55*a**3 + 2*a**2 to the form k*a**4 + w + d*a**3 + r*a**2 + t*a and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 528 + -530. What is the third biggest value in 0, -5, 3.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 12. Let h be j(-10). Suppose 2*x + 2*x = 40. Let l = x + h. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689.04389 less than -9.9?\nAnswer: -4698.94389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0702 - 0.0202. Let w = 3.95 + y. Which is the closest to 1.3? (a) -0.1 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95789774*p - 123055011 wrt p?\nAnswer: 95789774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 31 = 5. Is (p\/(-4))\/(-2*1\/87852) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -465 + 470. Let m(j) = 3*j + 14 + b - 20. Give m(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-220)\/(-44) + ((-8)\/(-2))\/(-2). Solve z = n*b - 0*z + 10, -30 = 3*b + 3*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t - 18*t = 27*t - 23*b - 41, b - 6*b - 7 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 9*q + 8. Let n be d(9). Let x = -14 + 19. Let g(z) = z**2 - 10*z + 10*z - 7*z - x. Determine g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 3*f - f)*((4 + 2 - 4)*(2 - f - 2) - 4*f + 2*f - 4*f - 10*f - 105 + 105) as i*f + d + q*f**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024477018 rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/4, 9\/10, 0.137, 2\/19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7055 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4 = -k, 282*k - 287*k - 20 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3256 + 27527. What is the greatest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + -2*sqrt(475)*-1 + (5*1*sqrt(475) - (-2*(-2 + sqrt(475)) + sqrt(475) - sqrt(475))))**2.\nAnswer: -38476 - 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*x**2 - 60*x**2 + 119*x**2 - 67*x**2 - 64*x**2 - 66*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h + 39. Let b be l(15). Is b != -98\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 7:37 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*t - o - 0*o, -5*t + 70 = 3*o. Suppose 2*a - 3*a = -6. Suppose -2*v = -a + 4. Solve z - 2*h - v = 0, -3*z = -0*z + 2*h - t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 2*g. Let o(d) = -3*d**2 - 1. Let x be o(-1). Let h be l(x). Find the third derivative of 0*p**4 - h*p**2 - 8*p**6 + 0*p**4 + 38*p**2 wrt p.\nAnswer: -960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 - 24.82. Let b(z) = -82*z + 2. Let m be b(0). Sort m, f, 4 in descending order.\nAnswer: 4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 + 3.86. Which is the third smallest value? (a) -3 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70217 + 167116423\/2380. Calculate the common denominator of r and 77\/45.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18 - -2*2\/(-4). Suppose -3*y = -41 + n. Suppose 7*a - y*a = -499000. What is a rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 4*i**2 + 2*i - 6. Let j be h(-5). Suppose 4*w = -f + 778 + 58, -w + 4*f = -j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*p*z**3 + 4*p*z**2 + 14*p*z - 21*p + 1570628*z**3 with respect to p.\nAnswer: 7*z**3 + 4*z**2 + 14*z - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10794?\nAnswer: 2, 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2927.013335 + -376.\nAnswer: -3303.013335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1296645 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15288410 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**4*w + 2*k**3*w*z - 3059*k*z - 26*w - 45*z wrt k?\nAnswer: 4*k**3*w + 6*k**2*w*z - 3059*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3209*l - 341*l = -160608 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1.319.\nAnswer: -0.2638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 - h. Let n = -11 + 10. Let p be f(n). Suppose 2*u - 14 = 4*w - 0*w, p*w = -4. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)*x**(-3))\/(x\/(x\/(x*x\/(x\/((((x\/(x*x\/(x**(-4)*x))*x)\/x)\/x)\/x))*x)))**(-32) assuming x is positive.\nAnswer: x**(-919\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in -0.1, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 k when three letters picked without replacement from kekeewwkwkkwk?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 - (5 + -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -10\/11, 7615878 in ascending order.\nAnswer: -10\/11, 2, 7615878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 699 + -760 + (4 - -17 - 1)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3046, 12037, 27014, 47977, 74926, 107861, 146782?\nAnswer: 191689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2184 divide 37015394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*k**3 - 1689*k**2 - 3360*k - 372.\nAnswer: -3*(k + 2)*(k + 31)*(17*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**5*d - 2633251*b**2*d + 915*b*d + 3385*b wrt b.\nAnswer: 20*b**3*d - 5266502*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2*x**2 - 4*x - 2. Give q(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d + 33. Let w be h(-3). Suppose 6\/5*x**3 + 6\/5*x**4 + 2\/5*x**5 + 2\/5*x**2 + 0 + w*x = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 r when three letters picked without replacement from {r: 4, i: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -2 + 91 + 10 + -14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Let h = 0 + 2. Let n be (-2 - (-6)\/4)\/h. Which is the closest to 0? (a) n (b) t (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2037 * 37\nAnswer: -75369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 315463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 + 2*a**2 + 2*a**2)*(-7 - 3 - 9) to y*a + p*a**2 + q and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.81 - 8.8. Let u = o - 0.01. Let q = 4.0001 + u. What is q rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12814, 12818, 12822, 12826?\n\"Answer: 4*z + 12810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31595 and 1775.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w**2 + 13*w + 38. Let v(d) = 6*d**2 - 6*d - 19. Give 4*r(f) + 9*v(f).\nAnswer: 2*f**2 - 2*f - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**4 + 3864989*m**2 + 2731591 with respect to m.\nAnswer: 8*m**3 + 7729978*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*o + 7*o - 1, -o + 9 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + 0.35. Let k = -4 - -11. Let r = k - 4. What is the smallest value in r, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656926?\nAnswer: 2, 23, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + 69. Let v = 125.5 - y. Which is the third biggest value? (a) v (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 minutes before 5:47 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-342)\/(-209))\/((90\/(-12))\/(-5))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -30. Which is the nearest to 1? (a) 0.5 (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57121 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*j + 714*j = 408*j + 229*j + 16284 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3969) + sqrt(3969) + (sqrt(3969) - sqrt(3969)*-1) + sqrt(3969) + sqrt(3969))\/(1*sqrt(700)).\nAnswer: -54*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117309000 rounded to the nearest one million?\nAnswer: 3117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 45, 78, 145, 258?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -1, 1\/65, 5, 1, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 18 + -5 + 0\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 17307?\nAnswer: -17307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-6)*1*(-117)\/(-65). Factor -10*x**3 + 12*x**2 + 44*x - 5*x**4 + 24 + h*x**4 - 10*x**3 + 8*x**3 - 2*x**4.\nAnswer: -4*(x - 2)*(x + 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcc when three letters picked without replacement from {t: 4, c: 4, k: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*(-3*1)\/(-9) + (-119 - -116). Let w(g) be the third derivative of 151*g**5\/60 + g**4\/12 - g**2. What is the units digit of w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21047834 or 21047837?\nAnswer: 21047834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -279 and 76272.104.\nAnswer: 75993.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-84))\/((-1)\/3)*231\/(-22). Let k(w) = 13*w + 2. Let d(n) = -1. What is v*d(s) + k(s)?\nAnswer: 13*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1952808*g + 67538*g**2 + 1952808*g)*(2*g**2 - 4*g**2 + 4*g**2) as u*g**3 + s + c*g + t*g**4 + w*g**2 and give t.\nAnswer: 135076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -54.19353 and -9.38.\nAnswer: -63.57353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Let f(x) = 5*x**3 - x**2 - x + 1. Let m be f(1). Suppose 0*k = m*k - 16. Sort b, 0, k in ascending order.\nAnswer: b, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(19))**2 + -3.\nAnswer: 4*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8789 and 2181740?\nAnswer: 37089580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 + -0.1. Let o be 44\/30 + 4\/(-5)*1. What is the second biggest value in o, 2, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, -2, 2\/23, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**5\/9 - 392*u**4\/9 + 4316*u**3\/9 - 16456*u**2\/9 + 2768*u - 1376 = 0.\nAnswer: 1, 2, 3, 6, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 6*r + 6. Suppose 0 = -7*p - 4*p - 66. Let k be l(p). Solve -3*i - k = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from vypppycbcppcyywcpvv?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*a - 192*a + 80 = 0. Solve 11*k - 1 = a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-30)*-1)\/((-42)\/35)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 759.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*r - 4. Suppose k - 100 = -4*a, r*k - 4*a = 76 + 404. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:56 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/30 - 8*h**3\/15 - 16*h**2\/5 - 2*h. Factor y(d).\nAnswer: -2*(d + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7926675?\nAnswer: 3, 5, 17, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 10:57 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2500*d + 56197 - 6197 = 0 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 smaller than -34680165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 6*x + 10, 1727*t - 15 = -3*x + 1730*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 197*u**2 - 2046*u + 166. Calculate j(186).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544716642.\nAnswer: 2, 3, 1193, 76099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -214. Suppose k = 4*f + 59. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 152363.8929 + 515\nAnswer: 152878.8929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 3*z**5\/2 + 85*z**4\/12 + 25*z**3\/3 + 3*z - 240. Factor k(g).\nAnswer: 5*g*(g + 2)*(6*g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 8. Calculate the lowest common multiple of 16 and l(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715) - (sqrt(1715) + sqrt(1715) + sqrt(1715)*2))\/(-5*sqrt(500) - sqrt(5)).\nAnswer: 7*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2)\/(8\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/28 and -133\/16332?\nAnswer: 114324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1521183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -155719226 divided by -23803\nAnswer: 6542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106640990 by 10.\nAnswer: -10664099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbybbbbybbyzgybog. What is prob of picking 1 g and 3 y?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 91*n - 3727. Give u(30).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((56\/12)\/7)\/(2\/50529) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 122 + 154?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23572.\nAnswer: 2, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 15*r + 115 - 231 + 116.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.29 - -555.71. Let s = c + -566. What is the third smallest value in 3\/7, 0.5, 4, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 5*a - 3*w, 4*w + 18 = -7*a + 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 17. What is the nearest to 0.1 in 5, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 3. Let j(h) = -12*h - 42. Let u(v) = 2*v**3 - 7*v**2 - v - 10. Let a be u(4). Let p(s) = a*j(s) + 28*t(s). Let i(o) = -o**2. Determine p(i(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47736 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 109 = 3*b, -3*b = a + a - 103. Calculate the greatest common divisor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*b + 65, -3*x + 2*x - 4*b = -26. Suppose -x*z - 78 = -8. List the prime factors of 114 - (-20)\/(9 + z).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -199773.6.\nAnswer: -199768.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83374 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1461*x - 2378*x - 44593 - 5940 = 19159 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -609 + 538.8. Let q = -69 - b. Round q to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -94347 - -48?\nAnswer: -94299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3\/2)*r\/(r**(-12\/11)\/r))\/(r*r**(-11)*r*r*r**(3\/4)) assuming r is positive.\nAnswer: r**(433\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {w: 4, u: 1, h: 3, o: 2, e: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from murmcurupxrr. What is prob of picking 1 m and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 = 0, 2*n = -4*m + 9*m + 88. Suppose n*k = 32*k + 514. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 2*n**2 + n**2. Let v(r) = -5*r - 6. Let s be 8\/(6\/(-3)) - (-4 + -2). Let f(w) = -16*w - 21. Let d(z) = s*f(z) - 7*v(z). Determine j(d(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 33*m. Let x(s) be the third derivative of s**5\/20 - 4*s**2 - 83. Calculate j(x(n)).\nAnswer: 99*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 484*n*y**4 + n*y**3 + 54374*n*y - 8*y**4 wrt y?\nAnswer: 5808*n*y**2 + 6*n*y - 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t. Let a = 251 - 249. Suppose t = a*m - 1 - 11. What is the greatest common divisor of m and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1009766907 divided by -3749\nAnswer: 269343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6122305?\nAnswer: 5, 7, 24989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 685366.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5*x - 35, -4*x = -2*x + 3*x. Let v be 140\/(-65) - 2\/(-13). Put -3, k, v, 5 in ascending order.\nAnswer: k, -3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6168 = 4*m - 20018, 4*m - 26198 = -5*n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -135445820, -270891642, -406337464, -541783286, -677229108?\n\"Answer: -135445822*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2528? (a) -2 (b) 1\/6 (c) -44.1 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2 + n**2 + 3 + 5 + 4*n. Suppose 0 = -9*v + 5*v + 64. Suppose -y - v = 3*y. Determine s(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-330)\/9*27\/3. Round h to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1744.972 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5 - 10*s**4 + 177*s**3 - 446*s**2 + 280*s = 0. What is s?\nAnswer: -20, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 12*u + 19. Let f be i(-12). Let v = f + 25. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 4*a - 5 - 19, -8*a + 4*a = 8*u + 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 6640*c + 6635.\nAnswer: 5*(c - 1327)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.367 + -46955105754.\nAnswer: -46955105754.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 36 = -36. Suppose r = 3*l + l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:04 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -v - 5*b + 1125, v - 3*b - 1113 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108a98 (base 11) to base 16\nAnswer: 2a3d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 19 = 81*k - 85*k, -2*k - 5 = -v. Is -5\/83 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/5)\/j)\/(j**(-2\/11)\/j))\/(j*j*j*j\/(j**(-3)\/j*j)*j*j**(-1\/4))*(j**(-8)\/j**6)**(-42) assuming j is positive.\nAnswer: j**(127827\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 89*j**2 - 254*j + 353. Calculate m(-86).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -114b + 9a?\nAnswer: -10a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - -7) + -17 + 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 9*h + 90. Let c be y(15). Is -1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 2. Let n = 0.042 + 9.958. Let m = 9.8 - n. Which is the third biggest value? (a) g (b) m (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*1*(17\/4 - 360\/(-1440))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 55, 84, 113?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 1411*u - 5629. Calculate z(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/135*(-14 - -4). What is the greatest common factor of 31 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48387 divided by -16129.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14715, 23953, 33191, 42429?\n\"Answer: 9238*t + 5477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, l: 5, i: 5, f: 1, t: 7}. Give prob of picking 2 t, 1 f, and 1 q.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -34*a - 18. Let o be n(-2). Solve o*r - 8 = 46*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 12:34 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770*f - 37*f**2 + 9*f**2 + 770*f.\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022034 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p - 4. Calculate f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/22 and -39\/374?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*i = 10, -5*p + 4 = 3*i - 7. Put p, -12, -38 in descending order.\nAnswer: p, -12, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5046126 to the nearest integer?\nAnswer: 2246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 261 = -0*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.45618 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 0, -1723, 1, 39, -4 in descending order.\nAnswer: 39, 1, 0, -4, -63, -1723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5\/7 + 91521*m**4\/7 + 1099629*m**3\/7 - 4120611*m**2 + 16663374*m = 0. Calculate m.\nAnswer: -26, 0, 7, 30519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14932*x**4 + 2*x**2 + 80716 wrt x?\nAnswer: -59728*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 14*q = 12. Suppose -3*v + q = -4. What is the remainder when 16 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1101227681\/7775 - -141637. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25663*a + 4*j + 90 = 25665*a, 0 = j + 1 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-16)\/(-10))\/((-3153)\/10510). Solve r - 11 = -4*f, v*r - 10 + 3 = -3*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 356 and 157778488?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12177, 12185, 12193, 12201, 12209?\n\"Answer: 8*q + 12169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 - 10*q**2 + 10*q**2 - 19655*q + 19423*q - 1 to i*q + n*q**3 + x + c*q**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1677680*m**2 + 1791575*m wrt m.\nAnswer: 3355360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25721, 25747, 25791, 25853, 25933, 26031?\n\"Answer: 9*u**2 - u + 25713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 6*i**2 - 9*i - 15. Calculate n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (9\/54 - 2629\/6) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12448 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 33*p + 217. Give h(16).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80484798)\/1257864 - (-1)\/(-68)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83260736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/134 or 1?\nAnswer: -3\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * 3.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 20550*b - 143900. Give j(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -3*b + 16 - 3, 4*n = -5*b + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjdhhhjhj. What is prob of sequence hjd?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 0 - (-32 + (1 - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -55, 2 in decreasing order.\nAnswer: 7, 4, 2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*210\/(-585)*6\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 - 80 - 10*r**3 - 28*r**3 - r + 48 + 2*r**2 to the form f*r + h + t*r**2 + d*r**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, -1, 5, -23, 10\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175851063*j**5 + 83528953*j**2?\nAnswer: 10551063780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 52*o**2 + 3804*o + 599. Determine j(-73).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 24*d = 32. Let k(a) = -6*a**2 - 4*a - 3. Calculate k(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365060 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*a = -70, 5*a + 4 + 61 = 5*i. Suppose -4*f = -2*v - 3*f, -2*v = -5*f + i. What is the derivative of 2*p**4 - 3 + v*p**4 - 21 + 2*p**4 wrt p?\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 2, c: 2}. Give prob of sequence ccx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + p + 3*p)*(0*p**2 + 3*p**2 - 6*p**2) - 600*p**3 - 624*p**3 + 1166*p**3 + (-2*p + p + 3*p)*(-5*p**2 + 3*p**2 + 0*p**2).\nAnswer: -65*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) 1\/10879 (b) 12 (c) 1\/10 (d) -5 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644226 is divided by 5033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one halves of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34 and -6.89256143.\nAnswer: 27.10743857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9622053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -20*u + 595. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 + -77. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 0*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20341 + -4444?\nAnswer: 10342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(288) + 5)**2*-2 + -4.\nAnswer: -708 - 384*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 30738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 8*m - 9. Let j be c(6). Let o(p) = -p**2 + 8*p - 3. What are the prime factors of o(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 28*q**2 - q - 6. Let n(r) = 27*r**2 - r - 5. What is -6*n(h) + 5*y(h)?\nAnswer: -22*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 6*w - 1. Let y(g) = -3*g**2 - 5*g + 1. Give 2*a(m) + 3*y(m).\nAnswer: -3*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1065.2 to the nearest 10.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*l + 238, 9*l - 122 = 7*l - 2*p. Suppose 1561 = 8*k + 361. What is the greatest common factor of l and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722 a factor of 230655900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 1061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 6976480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 4*p + 2*p + 1 + (-1 + 1 - 4)*(p - 2 + 2) as x + l*p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, v: 2, x: 7}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4120075 and 142105?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 11, 5, -4, 10, 2 in descending order.\nAnswer: 72, 11, 10, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1195121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6119*k - 151*k**2 - 3057*k - 3062*k - 64*k**3 + 6*k**3.\nAnswer: -58*k**3 - 151*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddff when four letters picked without replacement from {f: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 3*q - 9. Let j be -2*(1 - (-2)\/(-4)). Let l(b) = 0*b + 5*b - 7*b + 3 + b. Let r(p) = -p + 1. Calculate j*l(x) + q*r(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151138 is divided by 151132.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 11 = -6*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*h = 1, 3*h + 36 - 12 = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m + 2 = 0. Calculate the smallest common multiple of 18 and 18*(0 - m\/2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/132 and 167\/7476.\nAnswer: 82236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*m**2 + 393*m**2 - 338*m**2.\nAnswer: -339*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(443751\/1130))\/((-2)\/28).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**2 - 395*q + 50. Let r(j) = -2*j**2 - 125*j + 17. Determine -6*k(i) + 19*r(i).\nAnswer: -2*i**2 - 5*i + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1342, -0.6, 0.13, -0.1, -0.09?\nAnswer: -1342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + (-29 - -49) - -28 - 49.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.289 - -21.\nAnswer: 14.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/8)\/((-1603)\/(-916))*(-14)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 252 - 42. Let d = u - -54. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117632 times 5?\nAnswer: -0.58816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 1, k: 1}. Give prob of sequence aff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411785 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*r - 4, 0 = -f - f - 2*r + 2. Let t be f\/((-6)\/8) - 2. Solve -6 + 4 = t*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65917\/12 + 5530. Let j = h - 77\/3. What is the common denominator of j and -14\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 1.76.\nAnswer: -3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 + 10*d**2 - 16*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3, a: 8}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -93.2+245617\nAnswer: 245523.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*s - 19, -v + 18 = 2*v + 4*s. Let l = 15 - v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8601*r**2 + 2*r + 1. Let y be b(-1). What is y rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000100001001100101 - 111?\nAnswer: -10100000100001001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/246372 and 97\/30?\nAnswer: 1231860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 0*c + c**3 + 10*c**3 + 2*c - c. Let v be z(1). Let g = v - 3. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:02 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)\/h**(-2\/3)*(h\/(h**(-20)\/h*h))\/(h\/(h\/(h*h*h**3*h*h))) assuming h is positive.\nAnswer: h**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 15*l**2 - 80*l - 79. Does 4 divide o(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -4\/45, -136, 4\/3, -4, -141?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -h + 3*d - 5, -h - 3*d = -13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*((-7)\/(-2) - 3). Suppose -4*t = -0*t + 4*p - 16, -3 = -p. Solve f = -n - t - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/(1\/(-9)*-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -517540011 divided by -1227?\nAnswer: 421793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 2.11. Let i = 1.9099965 - l. What is i rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -a - 35. Let u be 1\/3*a\/(-55). Let -2\/5*p**3 + 4\/5*p + 0 + u*p**2 = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 52 = 5*s. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1959*v - 7435. What is f(-4)?\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180267 is divided by 536?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2991 from 0.0072177.\nAnswer: -2990.9927823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*t + 7*t. Let o = 67 - -73. Let b be o\/(-21)*(-9)\/(-6). Sort 5, b, t in decreasing order.\nAnswer: 5, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 126 = x. Let q(m) = 2*m**2 - 41*m - 210. Let i be q(31). What is the greatest common divisor of x and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4879070790?\nAnswer: 2, 3, 5, 11, 1723, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(2\/1)*(-60)\/150)\/(278\/44480).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1)*(0 - 2*d - 5 + 3)*(-22*d - 7 + 41*d - 11*d) to the form x + j*d + p*d**2 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 11434*m + 182634. Calculate b(-16).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 33. Let m = i - -35. Suppose 1 = -5*u + m*u. What is the nearest to -0.1 in -0.4, u, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 6*c + 3. Let g(l) = l**2 + 4*l + 2. Let n(m) = -8*g(m) + 5*z(m). Let w be ((-20)\/(-60))\/((-1)\/(-9)). What is n(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 1 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:40 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/10)\/((-24)\/60). Suppose o - 6 = -2*o. Let g = x - o. Let r(l) = -l**3 - 4*l**2 - 1. What is r(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/4)\/((-3)\/360). Suppose 2*b + 4*q - 74 = -3*b, b + 3*q = 6. Suppose g - 6*g + f = 5*h, 2*h = -g + b. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (8 + -58 - -16) - 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -231*o**3 - 599*o**2 + 780*o + 74. Let r(g) = -2085*g**3 - 5390*g**2 + 7030*g + 665. Let q(j) = -55*m(j) + 6*r(j). Determine y so that q(y) = 0.\nAnswer: -4, -4\/39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7618, 84, -4, 4 in increasing order.\nAnswer: -4, 4, 84, 7618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -0.4, 0.2, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 2*l**5 + 2*l**5 + (l**4 + l**4 - 4*l**4)*((-1 + 2 + 0)*(0*l - 2*l + l) - l - l + 0*l) + 30*l**5 + 80*l**5 - 30*l**5.\nAnswer: 90*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 - 296. Let i = c - -435.37. Round i to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(1 + (-5)\/4). Suppose 5*j = m + 7. Suppose -2*v = 3*a - 1, 2*v = j*a + 6*v - 5. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-80)*-10)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -320702, -641334, -961916, -1282448, -1602930, -1923362, -2243744?\n\"Answer: 25*h**2 - 320707*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(21\/(-924)*-22)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 7*h - 2. Let c be n(6). Suppose -306*y + 318*y = 300. Suppose -13 = c*m - y. Solve m = 2*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010100 (base 2) in base 7?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 402872*t + 10144115524.\nAnswer: 4*(t - 50359)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 15*n + 13*n. Suppose 7*s - 131 + 110 = n. Solve 3*c + 15 = s*r, -4*r + 3*r - 25 = 5*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 2*p + 21. Let o be 18 - (287 + -17)\/15. What is f(o)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a**2 - 24*a. Let n(t) = 7*t**2 - 16*t. Let p(b) = -5*j(b) + 7*n(b). Let q be p(8). Solve -4*k - k + 5 = q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 503*j**3 - 4*j + 62. Let u(k) = -2011*k**3 + 16*k - 244. Let h(z) = -9*s(z) - 2*u(z). Find the second derivative of h(r) wrt r.\nAnswer: -3030*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -131*r**6\/30 + 11*r**5\/20 - r**4\/4 + 1841*r**3\/2 - 13*r + 50. Find the second derivative of o(v) wrt v.\nAnswer: -1572*v**2 + 66*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 9*v**2 + 9*v - 4. Let i be w(8). Let q be (18\/i)\/(6\/216). Let y = -25 + q. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -14*g**3 + 136*g**2 + 528*g + 12. Calculate n(-4).\nAnswer: 972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*i - 23. Let c = 19 - i. Let a(n) = n**3 - 5*n**2 - n - 5. Let f be a(c). What is the greatest common divisor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j - 792 = 0. Suppose 4*w - 112 - j = 0. Suppose b + w = 2*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**3 - n. Let m be t(-1). Suppose -53 = -m*s + 24. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 6 + 17*n - 12*n)*(13 - 23 - 24).\nAnswer: -68*n - 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 87968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516579 divided by -3?\nAnswer: -1516579\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*z**4 - 2*f*z**3 - 550*f + 168*z wrt z.\nAnswer: -8*f*z**3 - 6*f*z**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmbm when four letters picked without replacement from {m: 3, b: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 88571023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 7*t + 12. Let g be h(-8). Suppose 51 = g*y + 15. What is the remainder when 14 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 + (-2 - -3) - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/2 (b) -0.4 (c) -1\/65 (d) -0.5 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 6) in base 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12977, 25931, 38863, 51773, 64661, 77527, 90371?\n\"Answer: -11*x**2 + 12987*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -80715 (base 10) to base 2\nAnswer: -10011101101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1575349?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 4*y + 4. Let r(t) = -2*t + 13. Let a be r(4). Let p be u(a). Suppose p*n = 102 + 78. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(1815)*-2)\/((2*sqrt(20))\/sqrt(4) + sqrt(5) + sqrt(5)) - 4*sqrt(21)\/(1*sqrt(21)\/sqrt(3)))*-6.\nAnswer: 111*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17709904 is divided by 197?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119 and -1012?\nAnswer: 120428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/9)\/(4\/12). Let t be (-10)\/5*(-2)\/k. Let c be t\/9 + 544\/144. Solve 0*o = -c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -477, 2\/7, 118, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.025 - 4.025. Which is the fourth smallest value? (a) u (b) -2\/9 (c) 2\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udeauuuuuuuaddd. What is prob of sequence dde?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*m - 2172 = 1428. Calculate the greatest common factor of m and 1620.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 9108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-18)*d\/d**(-5\/8)*d*(d\/((d*d**11\/d)\/d*d))**(2\/35))**12 assuming d is positive.\nAnswer: d**(-2679\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -37*v - 1. Let s(j) = -j + 6*j - 4*j + v*j + 3*j. Let a(f) = -f**2. Give s(a(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-70 - (-6407)\/86)\/(-99))\/(-1 - 10\/(-8))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - v - 238 = 0, -v = 2*c - 0*v - 152. What is the remainder when c is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5\/(t*t\/(t\/(t*(t**(-1)\/t)\/t))*t)*t**(2\/21)\/(t**(1\/6)*t) assuming t is positive.\nAnswer: t**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 1356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.4 - 0.4. Which is the closest to -1\/4? (a) -1 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - i**2)*(-i - i + 5*i)*(0 - 4 + 3 - i)*(-11*i - 27*i + 16*i).\nAnswer: -66*i**5 - 66*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -24862.2837 and 469348.\nAnswer: 444485.7163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -23*w + 2. Suppose -4*g - 5*f = 1 - 4, 4*f + 3 = -5*g. Let v(n) = -23*n + 2. Let t(i) = g*v(i) + 2*j(i). What is the units digit of t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, -31, -2, 61, 170?\n\"Answer: 2*d**3 - d**2 - 4*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-9)\/(-3) - 588\/(-99)) + -2. Which is the biggest value? (a) -1\/15 (b) l (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by -4 + -1 + (-1 - -15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/6 + 3\/2. Let z = -16.8 - -17.3. Which is the closest to z? (a) 0.1 (b) g (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11634 and -3.\nAnswer: 34902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3558 + 3552 = 0. Let c(j) = -5*j - 7. Let h(k) = -4*k - 6. Determine f*c(z) + 4*h(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22 and 408?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 4*p + 7, 2*p - 2 + 1 = 3*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 327053, 654137, 981245, 1308389, 1635581, 1962833, 2290157, 2617565?\n\"Answer: 2*g**3 + 327070*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/6*(-3)\/2. Suppose -2*z + 10 = -7*w + 9*w, -2*w = 4*z - 16. What is the third derivative of -5*t**2 - 28*t**6 - w*t**k + 14*t**6 wrt t?\nAnswer: -1680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 712*x**6\/15 + 3*x**5\/20 + 3359*x**4\/12 + 98*x. Find the third derivative of u(q) wrt q.\nAnswer: 34176*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -119*c**3 - 32*c**2 - 26*c - 175. Is v(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*v = 3283*v + 1155*v - 378726 for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 + 0 + 0 + b**3 + b. Suppose 3*o - 5*z = 31, -5*o + z = 3*z. What is the units digit of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 4 = -19*i. Suppose 5*m = -3*y - 0*m + 21, -4*y + i*m + 28 = 0. Suppose -4*r - 466 = -t, -4*t + 1 = -y. What is r rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23370317 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 48 = -5*h. Suppose -2*o + 6*o - 4*u = 16, u + h = 5*o. What is the greatest common divisor of o and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7143263, 7143271, 7143285, 7143305, 7143331?\n\"Answer: 3*y**2 - y + 7143261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**7\/3780 - j**6\/540 - j**5\/180 - j**4\/108 + j**3\/3 + 1. Let v(k) be the third derivative of p(k). Factor v(t).\nAnswer: -2*(t + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**2 - 9*z**3 - 6 + z**2 + 3*z + 2*z**2.\nAnswer: -3*(z - 1)**2*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 1\/7 (c) 2\/7 (d) -3 (e) -0.91 (f) -0.42866\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 32*l - 37. Let p be d(-28). Suppose -18*i + 3*i + p = 0. Suppose 0 = -i*g - 5*r + 3346 - 881, 2000 = 4*g - 3*r. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20206 = -45*c - 1621. List the prime factors of c.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4884)\/88 - -93)*8\/(-6)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.03716ml to litres.\nAnswer: 0.01003716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by 164.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 1662 = -1410. What is the remainder when a is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 - t**2 - 2*t**2)*(4*t**2 + 2*t**2 - 7*t**2) + (0 + 2 - 3)*(-2*t**2 + 2*t**2 + 2*t**4) to s*t**2 + w*t**4 + p + a*t + x*t**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, -1\/4, 254, -31\/6?\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10195.\nAnswer: 5, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3366510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 116354045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83934 + -170?\nAnswer: -83aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**2 - 2*d**2 + 3*d**2 + 3*d**2 + 4*d**3 wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 551644106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42732619, 42732611, 42732603, 42732595?\nAnswer: 42732587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4868724ml to litres.\nAnswer: 0.0004868724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62738 - -8392. What is j rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.2, 0, 10 in increasing order.\nAnswer: -0.2, 0, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75575 (base 9) in base 10?\nAnswer: 50045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4438 and -1.\nAnswer: -4438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 3134775?\nAnswer: 17\/3134775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 5:47 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let d(c) = -1. Suppose 0 = 1188*a - 1172*a - 16. Let l be 4\/22 - 168\/(-44). Give a*d(r) + l*i(r).\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/21 - (-15)\/(1155\/8756). What is the highest common divisor of 38 and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-28))\/((-368)\/(-64)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**4 - 5*l**3\/3 - l + 4948. Let i(w) = 9 - 3 + w**2 - 6. Calculate 5*i(t) + o(t).\nAnswer: -4*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*h**2*q - 1128*h*q - 1234*q - 11 with respect to h.\nAnswer: -46*h*q - 1128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + (-2 + 3 + 0)*(-3 - 3 + 4) + 36 + 13 - 18 - 124 + 25 + 40)*(o + 0*o + o).\nAnswer: -58*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*j - 50 = 0, -2*x = -7*j + 4*j - 46. Let p be ((-31)\/(-31))\/(1 - x\/22). Solve 0 = -4*z - p - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103827857?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-15)\/(w*w**(-5\/8))*(w**(-6)*w)**7 assuming w is positive.\nAnswer: w**(-403\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2 - 1. Let y(h) = -1 - 1 + 3 - 2*h**2 + 12*h**o - 5*h**3. Give y(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08 and -304743?\nAnswer: 304743.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0 (b) 3 (c) 0.065 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02, -4, -10\/7, -2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - l - 2. What is the least common multiple of z(2) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14a708 + 5?\nAnswer: 14a711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 8. Let p be k(8). Suppose -8*o + 3*o + 20 = 0. Suppose o*t - 12 = -p*t. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/8 and (-24)\/(-40) + 951\/90?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.03, 5 in decreasing order.\nAnswer: 5, 0.03, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 16 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnx when three letters picked without replacement from {n: 6, x: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 6:33 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 3*a**2 - 5*a**2 + 0*a**2 + 1 to g*a + y*a**2 + t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*m**3 - 16*m**3 - 3*m**2 - 2*m + 5*m**2 to x*m + f*m**2 + l*m**3 + g and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101277 is divided by 348.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 30*b - 1. Let g(p) = -p**2 - p + 6. Let m be g(0). Is s(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14206189.\nAnswer: 167, 257, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 2. Determine k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -k + 250, 5*l - 3*k + 250 = -6*k. Let i = l + 59. What is the highest common factor of i and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 1\/123, 0, -4\/3 in increasing order.\nAnswer: -4\/3, 0, 1\/123, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*w - 7 + 32, r = -3*w + 21. What is the remainder when 304 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118956?\nAnswer: 2, 3, 23, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**(2\/7)*l)\/l*l))\/l)\/(l**(-4)\/l)*(l**1*l)**47*(l**0)**6*(l**0\/l)\/(l**(2\/5)\/l) assuming l is positive.\nAnswer: l**(3371\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7846 + -494.\nAnswer: 7352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*i*j*s**2 + 2*i*j*x - i*s**2*x + 3*i*s*x - 4*j*s**2*x + 8*j*s**2 - 2*j*s*x - 1033*j*s wrt s?\nAnswer: 138*i*j - 2*i*x - 8*j*x + 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24713 plus -484013107?\nAnswer: -483988394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - (-4 + 7)) + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*o + 71*o - 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2. Let c(t) be the first derivative of -2*t**3\/3 - 8. What is k(c(i))?\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 270*k**2 + k. Is t(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2833.813 rounded to the nearest ten?\nAnswer: -2830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) + (-16)\/(-6). Let w = -3697 + 3723. What is the greatest common factor of l and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = f + 2, -4*y + 2*y = 0. Let j be f\/(-2) + 0 + 0. Let m(x) = -2*x**2 - 12*x**3 + 0*x**2 + 4*x**3 + x. Determine m(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -513619, -1027241, -1540885, -2054563, -2568287, -3082069, -3595921, -4109855?\n\"Answer: -2*u**3 + u**2 - 513611*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 63. Solve 1 + 11 = -2*m + 2*n, -2*m - 16 = -s*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07606351 rounded to 4 dps?\nAnswer: -0.0761","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 2882113441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 93960082 + 25034812 = 0. Suppose -11*l - p = -802635. What is l rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*d - f - 4 = 0, 0 = -2*d + 3*f + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1338274 or -1338273?\nAnswer: -1338273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -214*0.4\nAnswer: -85.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23335132677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:44 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -177*z**4\/4 + 3*z**3 + 19*z**2\/2 - 2617. What is the third derivative of g(v) wrt v?\nAnswer: -1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/66444 and 43\/1218.\nAnswer: 1926876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**3\/2 - 15*f**2\/2 + 9*f. Calculate the remainder when 3 is divided by v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 - 998 = -12*n. Let u(i) = 9*i - 2. Let k be u(-2). Let r = -12 - k. What is the greatest common divisor of n and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 6*y**2 - 17*y - 2. Let r(d) = -4*d**3 - 13*d**2 + 35*d + 5. What is 5*b(w) + 2*r(w)?\nAnswer: 2*w**3 + 4*w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312.8635 centimeters to millimeters.\nAnswer: 3128.635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50977\/(-2683)*(-68)\/38?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imraaiiramiammiiir. What is prob of sequence ra?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 232683 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*u**3 - 11*u**4 - 11*u**3 - 3*u**3 + 0*u + 7*u as i + y*u**4 + f*u + o*u**2 + c*u**3 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 4 - 3)*(2*b - b - 2*b) + 3*b - 100 + 100)*(-44 - 40 - 565 - 356) in the form d*b + n and give d.\nAnswer: -1005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 73*p - 520. Let c be t(8). Solve c = -9*j + 28*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -31*l**2. Let b(a) = 42*a. Give b(s(h)).\nAnswer: -1302*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 58\/9, 3\/4, -2\/17, 3, -4 in decreasing order.\nAnswer: 58\/9, 3, 3\/4, -2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 7*r - 18. Let l(z) = 3*z**2 - 4*z - 10. Let j be l(-5). Suppose -j = 11*v + 14. Let x be n(v). Let t(h) = h**2 + 3. Determine t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -2193.661\nAnswer: 175.49288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 243\/2 less than or equal to 123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31 (b) -1 (c) -2\/11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 13. Let f = 1494.52 - 1490.519985. Let l = t - f. What is l rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -25*g**2 + 656*g + 1227. Give s(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-15) + -18*10\/(-75). Suppose 0 = m*y - 3*o + 2, 0*o + 4*o - 41 = -5*y. Let b be (-1)\/(0 + (0 - 1)). Put -1, b, y in descending order.\nAnswer: y, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61\/12 - -19\/4. Let d = 7\/6 - r. Determine y so that -d + 3\/2*y**2 + 0*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-14))\/(3*(-2)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/14 - 6\/21. Let x = 0.3 - 0.5. What is the nearest to t in 2, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -21*w - 2354. Let m(y) = -158*y - 16477. What is -2*m(j) + 15*x(j)?\nAnswer: j - 2356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 30 = -g. Let n(h) be the third derivative of 0*h + 1\/120*h**6 - 1\/15*h**5 + 2\/3*h**g + 0*h**4 + 0 + 3*h**2. Determine n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/7, 7, 2, 2\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 185 = -15. Suppose -n = -3*c - 2*c. Suppose 5*u - 2*k - 2*k - 1076 = 0, 0 = -3*u - c*k + 653. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 312\/32 + (-9)\/(-36). Solve 27*n - s*n - 85 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -5. Let i(y) = -y**3 - 6*y**2 + 8*y + 10. Let j be i(a). Solve -j*l + 8 = -2*z - l, l = 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2045051 (base 8) in base 11?\nAnswer: -341195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggrr when four letters picked without replacement from {r: 7, g: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-36))\/((-15)\/(-90)*1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/113 - 150\/2147. Suppose -3*d = 2*f, -2*f = f - d. Which is greater: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -29007594.\nAnswer: -29007593.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-58)\/(-232))\/((-1)\/(-4)). What is the closest to -0.1 in 0.1, 5, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -42. Sort -2, z, 4, 187 in descending order.\nAnswer: 187, 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -7*y**5\/5 + 2*y**3\/3 - 95*y**2\/2 - 382*y - 2. What is the derivative of r(o) wrt o?\nAnswer: -84*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 times 0.05\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1681211, -1, 2.\nAnswer: -1, 2, 4, 1681211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/22 - 20\/110. Solve -6*v + 4*v - 5*q = 30, l = 2*q + 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 + -1 + 13492 + -13643?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -11 (b) 5 (c) 0.1 (d) 1\/11 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -10\/74837 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3648)\/40)\/12*20\/(-200)*50\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -109*p + 65. Let h(y) = -108*y + 81. Let n(x) = 5*d(x) - 4*h(x). Let v(u) = -2*u. Determine v(n(z)).\nAnswer: 226*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-10))\/((-111)\/2035). Solve 2*s = -13 + d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 6) + (-10 - -11)*-15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*n - 93*n + 128*n to p + d*n and give d.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -16*b**2 - 4*b + 1. Let f(q) be the third derivative of -q**5\/20 - q**4\/24 - 1338*q**2. Give 11*f(a) - 2*y(a).\nAnswer: -a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -4*o**6\/15 + 127*o**5\/10 - 13*o**4\/12 - 41*o**2\/2 + 3806*o. What is the third derivative of q(l) wrt l?\nAnswer: -192*l + 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 7 - (-7 + 5). Suppose r*n + 5*f - 315 = 0, 5*f = 3*n - 91 - 74. Calculate the highest common divisor of n and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - (-7 - -21 - 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/60 and 127\/1764.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*m - 2*m - 16, -h + 4*m + 12 = 0. Solve 0 = 4*x - 4*z + 20, h*x - 5*z + 17 = -3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.062, 0.9, 3, -1\/5, 30?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 3\/4 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + u - 24 = -3*q, -2*u = -5*q + 17. Let w be (-20)\/56 + q\/10. Let j be (-1 + 2)\/(1\/3). Which is the third biggest value? (a) j (b) -2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fufu when four letters picked without replacement from {f: 14, u: 5}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17262866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6 + 14. Let n(u) = -4*u - 3. Let w be n(-2). Suppose -11 = -w*d + 9. Calculate the remainder when p is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 308 - 465. Let h = f - -197. Calculate the lowest common multiple of 12 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(-y - 3*y + 0*y) + (5*y - y - y)*(6 + 1 - 6).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5743\/2 + -2858. Let f(h) be the first derivative of 3\/5*h**5 + 0*h + 15*h**3 + 13 - 21\/4*h**4 - w*h**2. Factor f(k).\nAnswer: 3*k*(k - 3)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -35931814, -3\/4.\nAnswer: -35931814, -3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18832000 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493 + 479 + 518*v**2 - 972.\nAnswer: 518*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-18)\/(-8)*(-1728)\/(-162) and 196?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 22. Let f be m(4). Let s be f\/3 - 1 - -1. What is the third derivative of -58*i**s + 73*i**2 - 34*i**3 - 58*i**2 wrt i?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.089 or -2\/75075?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 6718766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11954 + 11962. Solve v*g = u + 4*g + 14, -u + 22 = 5*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3855 = 260. Let x = -5743\/7 + z. Calculate the common denominator of x and -49\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k**2 - 2*k**2 - 3*k**2)*(0 + 1 + 3) - k**2 - k**2 + 3*k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k - 8. Let d be (-18)\/14 - k\/7. Is 8 a factor of (-4)\/d*(0 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q + 2*v + 6, 0 = -q + 3*v + 7. Let s be 6\/((-8)\/q - -4). Suppose -s*r = -653 - 2674. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180.89 + 15.41. Let m = d + -85.4. What is m rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 17383*b - 17383*b + 23 + 81 + 2*b**2 + 0*b**2.\nAnswer: 6*b**2 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -10*x + 13. Let b be h(1). Suppose -13*q + b*a = -8*q - 19, -2*q + 5*a = 0. Solve -p = l, p - 3*p = q*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0681 + -555.9319. Let p = 553 + f. Let b = -0.3 - -0.5. Put 1\/9, b, p in decreasing order.\nAnswer: b, 1\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 5 - 5\/2*v**2 + 0*v. Let i(z) = -2*z**2. Give p(i(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from {h: 2, q: 3, w: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 211350.87 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-1 - (-4)\/(-4)). Let x(a) = a**3 - a**2 - 50. Let d be x(0). Let l = b - d. What are the prime factors of l?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3460 divided by -44.\nAnswer: -865\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575960229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 + 116. Suppose 7*f = n + 2*f - 10, g = -f. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 463 + -426 - (-19 + (-2 - -4) - (-1 + -5)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1859, 3812, 5767, 7724, 9683?\n\"Answer: a**2 + 1950*a - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(2 - -1) + 1. Suppose -f + 3*l + 6451 = 736, -2*l + 11390 = h*f. What is f rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 848, 850, 852, 854, 856, 858?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562980.7 millilitres to litres.\nAnswer: 562.9807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = -82*s + s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z - f, 0 = -3*z - 2*f - 2*f - 6. Solve 0 = -2*g - 4*s, -s + z = 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 39546.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 653.0923 + -0.4923. Let a = 712 - i. What is a rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 2*s = 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 - 662*v - 50257. What is c(-213)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3190*r + 207350 = -210372 + 140192 for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.928 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22215102 - -11?\nAnswer: -22215051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/43821 and -113\/136332.\nAnswer: 1226988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 16617519.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-15) - 12149997\/(-15). Round f to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-305)\/(57645\/2142)*45\/(-6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -361.9 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11361 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16535 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 - 506*x**3 + 263*x**3 + 245*x**3 + 2*x**2. Let a(y) = 3*y**3 + 5*y**2. Calculate 5*a(l) - 4*m(l).\nAnswer: 7*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -5, -3\/8, 2 in descending order.\nAnswer: 20, 2, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 9*u**3 + 12*u.\nAnswer: 3*u*(u - 2)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 + 2*x**4 + 42*x**3 - 2*x**2 - 40*x = 0. Calculate x.\nAnswer: -4, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 39?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + -4)\/(-4 + 2). What is the closest to w in 4, 1\/4, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 - 97. Let q(i) = a*i**2 - i**2 + 1196*i - 1196*i. Let o(z) = -z**2 - 42. Determine o(q(h)).\nAnswer: -h**4 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/((-14)\/8) + 11\/1. What is the units digit of a\/40*-4*(-37 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + 4) - -3 - (3 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gglllllllllg. What is prob of sequence lggl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2 = 5*d, 533*h = -4*d + 529*h - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6878, 6871, 6860, 6845, 6826, 6803?\n\"Answer: -2*f**2 - f + 6881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -33. What is the greatest common divisor of 60 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.08, -5, -9.32?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -132502, -264992, -397482?\n\"Answer: -132490*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l**4 - 301976*l**3 + 64588743*l**2 + 97392672*l + 36585945 = 0. What is l?\nAnswer: -19085, -3\/4, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30505 + 0?\nAnswer: 30505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.63 and 127279.\nAnswer: 127278.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -1, -42, -3\/4, 0?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149681 - 149428. Suppose -4*s + 306 + 34 = 0. Calculate the remainder when i is divided by s.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -847467940 in ascending order.\nAnswer: -847467940, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 184 - 37. What is the highest common divisor of k and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5498 and 458593185.6.\nAnswer: 458587687.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.042127\nAnswer: -0.0126381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 + -12)*(3 - 3 - 1). Let g = -16 - -52\/3. What is the fourth smallest value in 1\/3, g, -0.2, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(600)\/(sqrt(12)*1).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11337004 (base 8) to base 13.\nAnswer: 687ac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + s**3 + 4*s**2 - 65*s + 5 + 57*s to o*s + w*s**3 + q*s**2 + b and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1606 and 228998.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 545132, 545127, 545120, 545111?\nAnswer: 545100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.01, 5, 0.4, 65, 336?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -99. Let k = -100 - x. What is the nearest to -0.2 in 1\/3, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2) - (7 + -46). Suppose c - 5*a + 27 = 0, 5*c = c - 5*a - 33. Let j = k - c. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/6 + 2*w\/3 - 77\/6 = 0.\nAnswer: -11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**14*m*m**6\/m*m*m)**(-3\/8)\/((m*m*m**(-2\/7)*m)**(-1\/5)*m**6*m\/m**6) assuming m is positive.\nAnswer: m**(397\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/32)\/((-3)\/42)*(-52)\/(-182)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-334)\/(-32))\/167*36*1.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 371, -37, -173, -1 in descending order.\nAnswer: 371, -1, -37, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.49 - 35. Let x = 0.39 - r. Which is the closest to x? (a) 0.1 (b) 2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 14 (b) -0.01 (c) 2\/7 (d) 1139 (e) -51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -0.06, 2\/55, -3, 2, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 t when four letters picked without replacement from {m: 4, t: 3, x: 1, i: 1, c: 9}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 6*s**2 - 7*s + 7. Let k be h(5). Let n be (-2)\/6 - 61\/k. Suppose 3*p - p = x, x = -2*p + n. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r. Suppose -3*a = -r*a + 3*k - 27, 0 = -4*k + 20. Suppose -82824*i + 82843*i = 0. Solve i*u = a*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 - -35778?\nAnswer: 35725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 2. Let v be s(6). What is the second derivative of -f + 58*f**3 - 58*f**3 - v*f + f**4 wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12755, -25514, -38273, -51032, -63791?\n\"Answer: -12759*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.12, -2\/109, -5?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 88 + 172 = 0. Suppose -v - 16 = -c. Suppose 3*j - v = 4*t, 5*j - 74 = 2*t - 3*t. Solve 0 = d - 4*d + j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031 a factor of 67714721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719052421 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813 - 813 + 293*g**2.\nAnswer: 293*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -10*y**2 - 1. Let p be m(-1). Let q = p + 16. Let a = 1 + q. Solve 5*c - 26 + a = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 4.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1) + (-8914)\/(-2). Suppose 31*y = 25*y + 18. Suppose -2*q + 1790 = y*d, -3*d = 4*q + q - v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410239074 to the nearest integer?\nAnswer: 20254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -86*h - 4. Let i(z) = -86*z - 3. Let p(c) = 4*i(c) - 3*k(c). Let y(t) be the second derivative of t**4\/12 - 2*t - 2046. Calculate y(p(q)).\nAnswer: 7396*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146062448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q - 75 + 75 to the form b*q + v and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.17 (b) -0.1 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -50*z - 1746. What is r(-35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*216\/5616*-2*3\/3?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000371911 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -244360.\nAnswer: -733080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = -8. Let n(o) = o**3 - 3*o**2 - 4*o + 2. Let v be n(c). Solve -v*l = -4*i - 14, -4*i + 3*l + 1 = -9*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045249 rounded to four dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4147445.\nAnswer: 5, 167, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.9. Let x be 0 - (48\/(-152))\/3. What is the closest to t in 3\/2, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5 - 30 = 0, 3*r - 7*t - 32 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 13*y**2 - 30*y + 4. What is o(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694841 (base 11) to base 9.\nAnswer: 2062864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2822 from 0.005457.\nAnswer: -2821.994543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o + 152*o - 382*o + 108*o + 945 = 0 for o.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -671012*r**2 - 372931*r wrt r?\nAnswer: -1342024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5151 times 4?\nAnswer: 20604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/(-10)*(1 - -49). Suppose 9*f = -f + l. What is the greatest common factor of f and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 5*a**2 - 25*a + 37. Is r(8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 7, 0.5, 4, -3, 3 in increasing order.\nAnswer: -3, 1\/8, 0.5, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 644089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3757781752?\nAnswer: 2, 469722719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1252998296, -2505996592, -3758994888, -5011993184?\nAnswer: -6264991480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dupukddfpupddkk. What is prob of picking 2 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/(-10)*(0 - 15\/2) and (-28)\/6*(-42)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -27. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -8. Let v(d) = 3*d**2 - 1. Let c be v(z). Let l = -3 - -6. Solve -5*n + 18 = h, l*n - 2*h = c*n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153939*f**3 - 361*f**2 + 930634*f + 37 wrt f.\nAnswer: -923634*f - 722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-257640)\/2204 + 153 - (0 + 36)\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 18 = -w - 4*w, 0 = -3*f - w + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s**3 - 3*s + 8*s**4 + 5*s**5 - 8*s**4 + 8*s**3 + 4 wrt s?\nAnswer: 100*s**3 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 10*b**2 + 6*b - 18. Let p be t(-9). Suppose k + 2*k = p. Solve -12 = k*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**4\/6 - z**2. Suppose -33 - 21 = -2*i. Let f(d) = i*d + d**2 + 0*d**2 - 27*d. Calculate f(t(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 230300134 (base 6) in base 15?\nAnswer: 586151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 418 - 399 - 3*o. Give m(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2\/4)*-4. Suppose 0 = -62*t + 58*t + 828. Suppose t = w*s + 39. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3416 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34, 56, 76, 94?\n\"Answer: -l**2 + 25*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*v = 2*a + 32, 0 = -4*a + 2*v - 24. Let o(y) = 6*y**2 - 7*y + 4. Let u(j) = 5*j**2 - 6*j + 3. Let n(x) = 6*o(x) - 7*u(x). Give n(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 12. Suppose -i = u*i - 140. Let j = i + 3. Round j to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-30) - (-180)\/25) + 552. Let n = 667 - z. Calculate the remainder when n is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**4\/7 + 2*w**3 + 60*w**2\/7 + 72*w\/7 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from qqqyaymyqyyqyu.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 995278.7ml in litres?\nAnswer: 995.2787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-1\/13)))*o)\/o)\/(o\/o**(-2\/33)) assuming o is positive.\nAnswer: o**(-59\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/(33\/24)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 959 - 957. Solve 0 + 0*b**4 + 0*b**c - 2\/17*b**5 - 2\/17*b + 4\/17*b**3 = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -64*f**2 - 19\/6*f**3 + 1\/60*f**5 + 1\/24*f**4 - 1\/120*f**6 + 0 - f. What is v(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -88*o**2 + 11*o + 2. Let a(q) = -72*q. Determine a(s(t)).\nAnswer: 6336*t**2 - 792*t - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -831 - -1342. What are the prime factors of h?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p + 277 = 0. Suppose -m + 222 = 4*q + m, 5*q - p = -3*m. Let j = 35 - 27. What is the highest common divisor of j and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 0*i**2 + 0*i**3 + 12*i - 3 + 5\/4*i**4. What is the first derivative of y(u) wrt u?\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 4*u + 1. Suppose -5*g + 9 = -2*g. Let w be c(g). Is 0 + 1 - w\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1652*t + 1624*t + 56. Solve -3*n + 20 = -5*s + 1, -t*n = s - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17949\/5 + 3590. Suppose 4*j - 6 = j. Sort 4, -3\/4, j, u in ascending order.\nAnswer: -3\/4, u, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 300371878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b (base 14) in base 6?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c**3\/3 - 5*c**2\/3 + 50*c\/3 + 35\/3 = 0.\nAnswer: -1, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 769*b**3*p + 90*b**3 - 15*b**2*p + b**2 - 3*b*p + 2*p + 653561 wrt b?\nAnswer: 4614*b*p + 540*b - 30*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3134876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 - -3.89. Let a = -0.49 + v. Let l = -0.2 - -0.1. Put l, a, -4\/5 in descending order.\nAnswer: a, l, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*x - 2*c + 86, -4*c + 120 = 4*x. Suppose -7*z + x + 11 = 0. Let a(b) = -b**3 + 5*b**2 + 7*b - 2. Give a(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02477658373 to six decimal places.\nAnswer: -0.024777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3698 (base 13) to base 14.\nAnswer: -2b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 - -577. Which is smaller: p or 962?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:04 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3582109472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*((sqrt(99) - 3*(1 + sqrt(99))) + 4 - (-1 + (sqrt(99) + 2 + sqrt(99))*-2)))**2.\nAnswer: -15552 - 2592*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 6 + 15 - 18*p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17862 + 18180. Calculate the remainder when 348 is divided by v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 + 2.81. Let k = f - 0.11. Which is the closest to 0.1? (a) 5 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7644017*x. Let h(t) = -2*t**2. Give h(q(n)).\nAnswer: -116861991792578*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 2*m**2 - 4*m. Let o = -19 - -16. Determine d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j = 91 - 229 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 + -28)*(1 + 0). Let c(s) = -3*s - 65. Let y be c(w). Let p = -8 + 6. Sort y, 2, p in descending order.\nAnswer: 2, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52584149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 + w. Let h(q) = 0 + 0 - q**2. Suppose y - 214 = -199. Let j(f) = y*h(f) + 3*c(f). What is the second derivative of j(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2424*v + 10*v**3 + 811*v - 1385*v**2 + 808*v + 1385*v**2 + 805*v.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*x**2 - 100*x**2 + 183*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 52 + 25)*(d**2 + 7*d**2 + 7*d**2)*(-1 + 3 - 8).\nAnswer: -5400*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.95 - -6. Let n = 1.05 - p. Let f = n + -5. Put 5\/6, f, 2 in decreasing order.\nAnswer: 2, 5\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (-12 + 0)*(-19)\/76. Let w(g) = 4*g**3 - 1. Let q(y) = 4*y**3 - 2. Calculate u*w(s) + 2*q(s).\nAnswer: -4*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 29. Let p be t(-6). Let v be (p - -3)\/4*(-3)\/(-1). Is v\/(-40) - (-12512)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284872309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -40. Let i = 22 - k. Let d = 33 + -37. What is the second biggest value in d, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.2146786 to 1 dp.\nAnswer: -96.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 82532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qohh when four letters picked without replacement from {o: 3, h: 3, q: 5}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 141 = -4*x, 1933*b - 5*x - 95 = 1928*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 346026017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825725673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1060390 by -38.\nAnswer: 27905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005797 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 0.04, 0.3, -0.764?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022053116 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 3)*(3552 - 377*q**4 - 3552 + (2*q**3 - 2*q**3 - 2*q**3)*(-2*q + 6*q - 3*q)) to n*q**2 + o*q**3 + h + c*q + y*q**4 and give y.\nAnswer: 1137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/9 + 2119*q**3\/3 + 82810*q**2\/9 = 0.\nAnswer: -13, 0, 6370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -0.9 (c) 0.0840749\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roorooo. What is prob of sequence oroo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + (-17 - -10) + 16 + -35 + -26\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 - -0.10937957521?\nAnswer: 0.01937957521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*d - 1)*(1 - 1 + 2*d - 4*d + 0*d + 9*d + (2*d - 5*d + d)*(-4 + 5 + 0)) to the form v*d + b + t*d**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*n - 46 = 0, f + 3*n = 4*n + 9. Suppose 0*o + 5*a = 4*o - 33, -25 = 5*a. Calculate the smallest common multiple of (3\/o)\/(1\/2) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/25464?\nAnswer: -7\/25464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 3*q - 25, -6*b + q = 2*q + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 11*t**2 - 12*t + 2. Let u be p(2). Solve 36*a = 38*a + 5*h + u, -3*a - 2 = 4*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(0*a - 4*a + 3*a)*(-124*a + 124*a + 97*a**2) + a**3 - 3*a**3 + 4*a**3.\nAnswer: -95*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317785025.\nAnswer: 5, 12711401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s - 10. Suppose 0 = 4*l + s*z + 17 + 11, 5*z + 21 = -3*l. Let r(h) = -h + 3. Is r(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 58*c**2 + 90*c - 1818. Give x(59).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2128 + 1168 = 0. Let j = -65829\/20 + a. Calculate the common denominator of j and 49\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20311251, 40622495, 60933735, 81244971, 101556203?\nAnswer: 121867431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 5*k + 2 - 2 to the form a + q*k and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -1713\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 4\/3*w**3 - w**5 + 4 + 0*w**4 + 0*w**2 + 0*w. What is the third derivative of n(v) wrt v?\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 6 = 0, 4*q + 12 = -p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2.4. Suppose -2013*y + 2012*y + 1 = 0. Which is the third biggest value? (a) 0.02 (b) y (c) 4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + -0.42. Let q = 7 + -2. Let z = q - 5.4. Sort z, -3\/2, g in increasing order.\nAnswer: -3\/2, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -2)\/(9 - 10). Suppose -3*v - 15 = -d*y - 3*y, -2*y - 4*v + 34 = 0. What is the greatest common factor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 276. Let w = v + -90. Suppose -23*i + 19*i + 13*y = 2, 5*y = -3*i + 28. What is the highest common factor of w and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 26306, -6.\nAnswer: -6, 1\/6, 26306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 57*m = 335670. What are the prime factors of m?\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/1*(3 + -2). List the prime factors of ((-2)\/(-4))\/(j\/(-110)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/4*77\/385*2\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.10673 - -3.89327. What is the smallest value in 23, 7.9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.5, 3590 in descending order.\nAnswer: 3590, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125406*w**3 - 294652*w**2 wrt w?\nAnswer: -752436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1719 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/39888 and -20\/3.\nAnswer: 39888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4697515 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 5) in base 4?\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i = 13 + 41. What is the nearest to 1\/3 in -3\/5, i, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 z when three letters picked without replacement from zhhhzhhhzzh.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.118 + -39\nAnswer: -38.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-11)))**(14\/5) assuming l is positive.\nAnswer: l**(154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45020.67268393 - 44803.672685. Let x = m + -217. What is x rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-2) - 2)\/3. Let q = 5352\/595 - 4292018\/415905. Let o = 2\/233 - q. Which is the closest to z? (a) o (b) 2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 9, 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -195*a**3 - 228*a**3 + 672*a**3 - 208*a**3 - 145 wrt a?\nAnswer: 123*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f - 0. Let q = -1652159 - -819471839\/496. Let s = 33\/16 - q. Is f greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 18999.\nAnswer: 56997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4 - -1)*12. Suppose 2*s - 10 = u. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {h: 11, o: 2}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -215 + (22\/(-18) - 8\/(-36)). Let w be ((-1)\/3)\/((-6)\/(t\/(-20))). Which is the third smallest value? (a) -0.1 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29796*d*v - 462*d + 2*v + 4549588 wrt d.\nAnswer: -29796*v - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 38*q + 23. Let b(h) = -1. Let l(f) = 6*b(f) + w(f). Is l(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6078983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/12)\/((-12)\/(-9)). Let p = -18\/41 + 244\/369. Let r = -2.0108 - -0.0108. What is the biggest value in s, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*q, 0 = 4*q - 3*q + 3*k. Let g(r) = 4 - r**2 - r + 7*r + q*r. Is 5 a factor of g(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0 - (-18624)\/1455?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 21. Let f = 14 + d. Suppose f = 9*w + 30 - 291. Calculate the highest common divisor of 232 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**2. Let a = 13 + -12. Suppose -3 = -g - a. Let t(d) = 5*d**g - d**2 - 2*d**2. Determine t(o(j)).\nAnswer: 98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**5 + 2*q**5 - 3*q**5)*(-1 + 1 - 1) - 4*q**5 - 4*q**5 + 4*q**5.\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7 = 5. Solve 0 = 4*x - x + 4*a, b*a + 7 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2 and -19\/879?\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/84*(-69405)\/165250?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -49*n + 2. Determine l(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.7 and -2102.\nAnswer: -2114.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8621\/50170 - -1\/1730. Let s = -175\/174 + i. Calculate the common denominator of 43\/6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*l = -25*l + 37*l + 23280. Calculate the remainder when 1062 is divided by l.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -1 (b) -1\/5 (c) 5 (d) 0 (e) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 + 66. Let k = g - -59. Suppose -k*d = -5*s - 359, 3*s - 433 = -5*d + 4*s. List the prime factors of d.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2678*s + 1 + 2678*s + 3 + s**2. Suppose -13*w = -16 - 36. Suppose 25 = 5*j, -y - y - w*j = -20. Determine o(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + 8a1?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 6*i**3 - 33*i**2 + 33*i**2 to k*i**3 + x*i**2 + j + n*i and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11 = -4*u - 0*w, -6 = -u - 3*w. Suppose -102699 = -2*n - n + u*j, 136922 = 4*n + j. Is n 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 1738805 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/10, 129, -0.5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35829 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/54 - 491\/(-2493) and (177\/8)\/(31\/(1116\/(-81))).\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -40*y + 623. Give l(15).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 6*n - 1. Let l be 2 - 4 - (-2 - -6). Give h(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 63, 131, 215, 309, 407?\n\"Answer: -w**3 + 17*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 7*q - 7. Let n be w(3). Suppose 7090 = n*x - 4910. What is x rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 - 28.2. Let u = k + 21. Which is the closest to 0? (a) 4 (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -2*x**7\/7 + x**5\/10 - 37*x**4\/4 - x + 82. Find the third derivative of f(d) wrt d.\nAnswer: -720*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.03. Let g = -1.27123 - -1.30123075. Let c = g - q. Round c to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (10 - 13) - (-1 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 15. Let c(y) = -4*y**2 + 3. Let h(z) = -5*z**2 + 2. Let d(m) = l*h(m) - 3*c(m). What is the derivative of d(a) wrt a?\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169050162 rounded to the nearest one hundred thousand?\nAnswer: -169100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 10*x**2 + 1. Let j be m(-5). Put 5, 4, j in increasing order.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**4\/8 + 21*f**2. Let o(t) = 3*t**2 + 4*t + 4. Let z(b) = 4*b**2 + 5*b + 5. Let v(c) = 5*o(c) - 4*z(c). What is v(l(g))?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9851 is divided by 179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-26)\/((-1040)\/30))\/(-1 - (-38)\/32). Let l(c) = -c**2. Let g be l(-1). Sort g, 9, -2, i in descending order.\nAnswer: 9, i, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -717010 (base 8) in base 15?\nAnswer: -4a394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1. Let w(x) be the third derivative of x**4\/24 - 7*x**3\/6 - 2*x**2 + 185. Determine -3*l(m) - w(m).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**3 + q - 1. Let i be o(1). Solve 2 = 3*n + i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**3 - 13 + 0*d**2 - 15 + 0*d**3 - 2*d**2.\nAnswer: 7*d**3 - 2*d**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 190487734 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*c + 462. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:55 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1392742 and 69.\nAnswer: 4178226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -24244603 (base 7) to base 5\nAnswer: -1023200234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, l: 11}. What is prob of sequence lnl?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*h**2*y**2 - 200*h**2*y - h*y + 12*h - 72*y**2 + 3*y wrt h.\nAnswer: -194*y**2 - 400*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 21*k**2 - 15*k - 12. Let h be v(20). Suppose 2*g + h = -t + 1133, -5*g - 2072 = -2*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -547, 184, 142 in descending order.\nAnswer: 184, 142, -5, -547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {i: 5, v: 1, t: 8, o: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/24 - 103*b**2\/2 + 105*b. Let m(s) be the first derivative of p(s). Let d(u) = -5*u**2 - 3. Determine m(d(z)).\nAnswer: -5*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 699, 706, 713, 720?\n\"Answer: 7*x + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 8*l**2 - 8*l + 13. Let q be d(-7). Let n be (3\/(-20)*-4)\/(2\/q). Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 11, z: 1, s: 6}.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11258*v + 1663*v + 461174 - 591296 = 522338 for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 42, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000659125 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*p + 10 + 36*p - 5)*(1 - p - 1).\nAnswer: -p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 = -32*g - 105 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*z**2 - 193*z**2 + 87*z**2 to the form c*z**2 + b + h*z and give c.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1501, 6128, 13877, 24748, 38741, 55856, 76093?\nAnswer: 99452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**3\/3 + 13*h**2\/2 - 4*h + 13. Let u be a(8). Suppose 5*q - 24 = u. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198172 and 1046656?\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*a**2 - 2 + 2 - 226*a**2 + 82*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-8)\/6*(-12)\/(-8). Let p(g) = 6*g**2 - 7*g + 6. Let o(h) = 7*h - h + h**2 - 6*h**2 - 5. What is w*o(c) + 4*p(c)?\nAnswer: -c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2444, 10453, 23798, 42479, 66496, 95849?\n\"Answer: 2668*n**2 + 5*n - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -19\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*s = -107*s + 68*s - 7137 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1369 * -35.\nAnswer: 4.7915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -824 + 1596. Suppose q = -0*f + 4*f. Suppose -812*p + 810*p = -78. What is the remainder when f is divided by p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**2 + 4*g - 9*g + 5*g**2)*(-2*g**3 - 4*g + 4*g).\nAnswer: 2*g**5 + 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 2*r - 2*r)*(-2*r**2 - r**3 + 2*r**2) + 3*r**4 - r**4 - 3*r**4 as b + z*r**3 + s*r + g*r**4 + p*r**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 247 - (3 + (-10)\/2). Suppose n + z - 88 = 0, 0*n = 3*n - 2*z - i. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3962 (c) -5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, -2848, -0.1, 18, 1, 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 824 = 3*y - b, -4*b - 160 - 100 = -y. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-5)*(0 + -1 + 0). Solve 6*k**2 + 2*k**2 - 7*k + 2*k - 3*k**f - 10 = 0 for k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*2*2)\/(1*sqrt(448)))\/((3*-2*sqrt(242) + sqrt(242))*3).\nAnswer: -sqrt(5)\/330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**3 + 15*f**2 - 31*f + 11. Let g(a) = -a**3 - 3*a**2 + 6*a - 2. Suppose 0 = -5*o + 8*o + 66. Let r(b) = o*g(b) - 4*s(b). What is j in r(j) = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 10 = -2*z, -2257*s - 15 = -2262*s - 2*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 - -1122321?\nAnswer: 1122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-2 - 0) - 0. Suppose x*q = 7*q - 135. Let b = -19 + q. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195126*s - 195109*s + 390228*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171*b**5 + 5*b**4 + 149*b + 1.\nAnswer: 3420*b**3 + 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 2. Let w be k(-6). Let s be 3\/11*w\/6. Let j = 31\/55 - s. Is j smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49024 (base 14) in base 13?\nAnswer: -63276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -739730.9 to the nearest 100.\nAnswer: -739700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 31 - 334*t + 748*t - 28*t**2 - 353*t - t**3. What is p(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230 divided by -2\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 393478371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**2 - 22 - 15*x**2 - 9 + 23*x**2 as d + o*x**2 + f*x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/2))**37)**(-2\/19))**(-2\/71) assuming q is positive.\nAnswer: q**(74\/1349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 3*k**3 - 2*k - k**3 + 3*k**3 + 6*k**2. Let d = -44 - -51. Determine v(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 87. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t + 84 = 0. Suppose 0 = -11*z + 19 + 14. Is t\/21 - (-2041)\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175654, -351245, -526822, -702379, -877910, -1053409, -1228870?\nAnswer: -1404287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Let p be (n + -15)*(-45)\/27. Suppose t + 12 - p = 0. Solve t*u - 10*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + (sqrt(300) - (-3 + 0 + sqrt(300))) - sqrt(33)\/(sqrt(11) - sqrt(44)*-5))*4)**2.\nAnswer: 10464*sqrt(3)\/11 + 587712\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338 and 988?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*k + 146, 3*m + 0*m = 2*k + 179. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67031 take away 338?\nAnswer: 66693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/24 + u**3\/3 - 2*u**2. Let x(o) = -o**3 + 18*o**2 + 20*o - 3. Let s be x(19). Suppose -2*y = -6*y - s. Give n(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12888*r + 12914*r = -1898 for r.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 535, 278, -769, -2600, -5209, -8590, -12737?\nAnswer: -17644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, -8, 1, -0.068 in descending order.\nAnswer: 1, -0.068, -0.2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*l - 6, f + l + 8 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - 2*a**3 + 3633*a**4 - a**2 - 3632*a**4 + 11*a in the form i + y*a + g*a**4 + c*a**2 + h*a**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1844*u = -946*u + 647*u - 96435 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-72)\/(-20) - 2\/(-5). Suppose 0 = -3*n, -3*z + m*n - 9 = n. Let w(y) be the third derivative of -y**5\/60 - y**4\/6 - y**3\/3 - 2*y**2. Determine w(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.57 times 1\nAnswer: -10.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7176 + 7175.9. Let r(c) = -c**2 + 15*c + 17. Let v be r(-14). Is k bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*q**2 - 10*q**4 - 4*q**3 + 96*q + 32 - 4*q**3 - 16*q**3 = 0. What is q?\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 4*h + d - 208, -111 = -h - 3*d. Suppose -h = -2*g + 5*b, b + 108 = 2*g + 2*b. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1171763 is divided by 233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -3*r + 24. Is (6\/4)\/(r\/(-88)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65469560 by 238940.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -389 in -1\/6, -7\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*3*-35 + -3. Suppose 3*y - 420 - c = 0. Suppose 4*b = y + 156. What is the highest common factor of b and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18514469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 824169247 to the power of 1\/2, to the nearest integer?\nAnswer: 28708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102270 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -16*v + 108. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 4, p: 1, b: 1, q: 1}. Give prob of picking 1 b and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from vvhhhhvvhh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*2\/4*4. Suppose m*a - 5 - 3 = 0. Solve a*c + 3 = -1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ottuzltuolttuuolllu. What is prob of sequence otuu?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*t - 2*j, 5*j + 8 = j. Suppose 4*p = -t + 32. Suppose -p*n + 3*n + 776 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, 1870, 5223, 9974, 16129?\nAnswer: 23694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -10150.\nAnswer: -41\/10150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2*f - 3*f)*(-14*f**2 - 4 + 28*f**2 - 16*f**2).\nAnswer: 14*f**3 + 28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.1863 hours in milliseconds?\nAnswer: 720670680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8966 - 9140. Let y = -2\/39 + 88\/195. Is y smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000878859 to 6 decimal places.\nAnswer: 0.000879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/6 - 558\/(-27)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 9:51 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230003 - 0?\nAnswer: 230003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 49 + 2*(2 + -3). Let w(j) = -j**2 - 14*j + 13. Let p be w(-6). Let o = i + p. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 - 230\/(-40). Suppose 2*f + f = y. Let m be (44 - (1 + f))*1. Solve 5*w - m = 4*r - 0*r, -5*r - 3*w - 5 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17359 + -86841\/5. Let k = 8\/46519395 + 421744818262\/97737248895. Let b = k - -44\/191. Find the common denominator of f and b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (182\/(-2646))\/(2\/174). Let t = o + 50\/9. Which is the third biggest value? (a) 0.8 (b) 1 (c) 0 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 1327400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**8\/504 - 2*p**7\/315 + p**6\/60 + 2*p**5\/45 - p**4\/9 - 6*p**2. Factor y(l).\nAnswer: -2*l*(l - 1)**2*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 193 + -8?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-60))\/(5*(-7)\/315)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21022201222101 (base 3) to base 16\nAnswer: -3b6392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 11. Suppose 0 = 2*x - 3*x + 8. Let t be v(x). Suppose -2*z - 2 = -0*z. Which is the closest to z? (a) t (b) 2\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15396*n + 20 = -4*y + 15392*n, 4*n = 2*y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.052 (c) -0.5 (d) 4\/5 (e) -1 (f) 0.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 74\/5 of a millennium?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otdt when four letters picked without replacement from {w: 3, k: 4, t: 3, d: 5, o: 4}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6849992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3363?\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.1 (c) 6 (d) 0.03 (e) -1\/6 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4742576 divided by 1185644.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 9. Let n be o(-9). Let s(w) = -71*w + 2. Let u be s(-2). What is the highest common divisor of u and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -25, 3*d = -4*l - 4 - 3. Solve -3*n = -l*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 316 - 285. Solve -8*q - x + 7 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from kwekbwfkffafkke.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*h**2*t*z + 31*h**2*z - 20*h*t**2 + 2*t**2*z - 3*t**2 - 4*z + 1 wrt h?\nAnswer: 12*h*t*z + 62*h*z - 20*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + 38.74. Let f = 89 + -54. Let r = j - f. What is r rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4125, 6616, 7473, 6696, 4285, 240?\nAnswer: -5439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 11.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 55*z**2 - 5*z - 25. Let k(p) = -27*p**2 + 2*p + 13. Let c(n) = 5*k(n) + 2*r(n). Differentiate c(g) with respect to g.\nAnswer: -50*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 995, 966, 937, 908?\n\"Answer: -29*h + 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 146. Suppose -2*w + 5*v + 428 = -g, v = 4*w - 1011. Is w\/10 + (-2)\/10 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1244 (base 5) to base 9.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(1960\/(-32)))\/(2\/(-5))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {j: 3, a: 4, n: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8038, -2142, -12322, -22502?\nAnswer: -32682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 60435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -60*t - 3*x + 62 + 43, -6*t + 5*x + 27 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 8*b = -7*b - 61155. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfjhthhftjtththfh. Give prob of picking 2 j and 1 h.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1468 + 82173?\nAnswer: 80604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -176.7*-2445\nAnswer: 432031.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 290\/75 - 2*(-2)\/30. Let d(r) = -8*r + 2*r + 29 + r**2 - 2*r**2 + 0*r**2. Let a be d(-9). Solve a*s + 6 = x*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 334, -1064, -5 in ascending order.\nAnswer: -1064, -5, 1, 4, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = 0. Suppose -2*k - 2*y - 24 = 0, 0 = -4*y + 2*y. Let v be ((-20)\/k + -2)*3. Is v at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 13*b**9\/504 + b**5\/30 - 3*b**2. Find the third derivative of c(u) wrt u.\nAnswer: 1560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/2 - 14853*y**4 + 118804*y**3 - 356392*y**2 + 475176*y - 237584 = 0. What is y?\nAnswer: 2, 29698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31.9 and -1178367?\nAnswer: 1178398.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 - 16*t + 4. Let b be q(7). Let s(c) = -40*c**3 + 2*c**2 + 2*c + 1. Let j be s(-1). Suppose 0 = 2*n - j - b. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -792.569936 - -1.505036. Let s = o - -791. Round s to three dps.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2.9 (b) -57 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1026 is divided by 238?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhhhmmmdhdkddddamh. Give prob of picking 1 k and 1 a.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 + -139.1. Let q = 209 + -211. What is the smallest value in 5, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 103465, 206924, 310383, 413842, 517301?\n\"Answer: 103459*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 10\/((-4)\/(-4)*2). Let r = 15 - 9. Suppose 4*i = l*i, 3*b + i - r = 0. Solve 0*c + 10 = -b*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 774692 and 29084?\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 87398*v**3 + 2 + 2 + 87522*v**3 - 3.\nAnswer: 124*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4529074998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g - 1. What is i(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -193, -396, -633, -916, -1257, -1668, -2161?\nAnswer: -2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - j = -6 - 3, -4*j = 3*x + 48. Let i be (5\/(-3))\/(4\/x). Let c be -8*((-5)\/2)\/i. Solve -f + 0 = -c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -55 + 13?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((3 - 0) + 14 + -28 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a factor of 136897916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1043*o - 119. Does 171 divide z(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11025 + -3009. What is the thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*a + 136*a - 459*a + 72*a + 128*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -1. Suppose 3*u - u - 5*k - 474 = 0, -o*u + 5*k = -958. Suppose 0*j = 2*j - u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 15*z - 2. Let s be h(14). Suppose -10*q = -6*q - s. Let y be q*(-10)\/(-15)*(-3)\/(-2). Solve -g = 4*r - 3*g, 2*g = -y*r - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801936.3 nanometers in meters?\nAnswer: 0.0008019363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/18)\/(s\/s**(11\/5))*s**(-13\/6)\/((s\/(s*s**(-21)))\/s*s) assuming s is positive.\nAnswer: s**(-991\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -4 + -2 + -5 + (-3*sqrt(153) + -5)*3)**2 + 1.\nAnswer: 1248*sqrt(17) + 10469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 4*h - 0, 0 = 5*d + 3*h - 29. Suppose -d*f + 4*o = -28, f + o = 5*f - 34. 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 the next term in 53689045, 53689049, 53689053, 53689057?\nAnswer: 53689061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4 + 16. Let q be ((-6)\/c)\/(19\/38). Suppose n + 4 = 5*n, 3*b - 666 = q*n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 4 + 19 - 8 - 9 + (5 + 0 - 3)*(0 + 2 - 1))*(p - p - 3*p)*(2 - 2 - 1)*(-2*p**2 - 2 + 2) as c + z*p**2 + r*p + k*p**3 and give k.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(175))*-6 - sqrt(175)) + 2*(2*sqrt(70))\/sqrt(10).\nAnswer: -31*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 8*b + 3*b. Suppose -4*h + 10 = 3*v, b*h - 4*v = 43*h - 8. Solve -3*k = -k - 5*n - 19, 5*k + h*n = -35 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*p = -1277 - 222 + 43 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1556997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2. Let b(w) = 2*w**2 - 99*w. Determine b(k(c)).\nAnswer: 2*c**4 + 99*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**9*t**33*(t**(-2\/9))**(-1\/16) assuming t is positive.\nAnswer: t**(3025\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 5, 6, -7, -40, -99, -190?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 + 622*w + 6536. Give a(-10).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 11076.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 10. Suppose 4 - 4 = x*i. Determine k so that i*k - 3\/4*k**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 4:52 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by 5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-10)\/(-105))\/((-66)\/(-77)))\/(-1). What is the closest to 1\/2 in -22, -3, 2\/7, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - -1 - (1750 - 1739 - (12 + -1))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 2*a + 1. Let o(y) = -2*y**2 - 3*y. Let n = 90 + -87. Let x(m) = n*f(m) + 2*o(m). What is x(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4417246389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104256\/(-3420) + 29 - 9\/(-5).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 53288 = 2*u, -c + 322*u = 326*u - 53300. What are the prime factors of c?\nAnswer: 2, 19, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3811, -30443, -102699, -243391, -475331, -821331, -1304203, -1946759?\n\"Answer: -3802*w**3 - 18*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = z - 5 + 1, 0 = 5*z - 2*v - 8. Suppose -z*b + 3*b = 32. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311104738 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784*k - 8033 = 6239 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58*546\/90480)\/((-14)\/(-5))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 29412 = -0*v. Let s be v\/84 - 4\/(-14). Suppose -4*h + 2*h - 4*r = -56, 0 = -4*h - 3*r + s. Calculate the highest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65 + 4 - (0 + 1 - 0).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 8*m**2 - 10*m - 6. Let b = 826 - 832. Calculate n(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16265*1\nAnswer: -16265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b + 13. Let x(y) = -y. Give -j(i) - x(i).\nAnswer: i**2 + 2*i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 13*s**3 + 13*s - 4. Let m be 12 + (1 - (3 + -2)). Let p be (-2 - (0 - 1)) + m. Let d(h) = 7*h**3 + 7*h - 2. Give p*d(t) - 6*k(t).\nAnswer: -t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 5. Let y(d) = d - 2. Calculate -2*x(i) + 5*y(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/5609 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (((2 - 7) + 0 - (-6 + 56)) + 0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -45, 1, 3883 in ascending order.\nAnswer: -77, -45, 1, 3883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 34 - 5 = 5*x, -3*l + 27 = 333*x - 339*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -264 (b) 0.1 (c) 0 (d) -0.31 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxxcrm. Give prob of picking 1 x and 1 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27835802 * -1.6.\nAnswer: -44537283.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1574 - -1578. Solve -i*w + 4 = -0*w + n, -5*w + 3*n + 22 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.24 and 60.9.\nAnswer: 57.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(((f**2\/f)\/f)\/f*f)\/f)**48)**(1\/13) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 2310249539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2504169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 + 4*c - 2. Let g(i) = -i - 12 + 3*i - 4*i. Let y be g(-8). Let s(a) = 3*a**2 + 2*a - 1. Determine y*x(h) - 9*s(h).\nAnswer: h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**4 - 2*p**4 - p**4)*(-p - 4*p + 3*p) + 0*p**5 + 4*p**5 - 2*p**5 + (3 + p**4 - 3)*(-p + 0*p + 4*p) + (p**3 + 2*p**3 - 5*p**3)*(0*p + 6*p**2 + 0*p).\nAnswer: -17*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + (sqrt(1700) - (4 + -2 + sqrt(1700))))**2 + -1.\nAnswer: -40*sqrt(17) + 1703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745\/(-2980) + (((-1)\/(-2))\/(-1))\/(34\/(-2873)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56924\/11704*(19\/9 + -2) and -107\/1584.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*-3*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75114749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28873935?\nAnswer: 3, 5, 213881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1463 + 331756.693?\nAnswer: 330293.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1575 - 1573. Solve -5*d - i*k = -0*k + 26, -29 = 5*d + 3*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3, -3*t = v + 11 - 1. Sort 5, v, -3, 1 in decreasing order.\nAnswer: 5, 1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 16003944?\nAnswer: 48011832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120360 and 1519545.\nAnswer: 12156360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from qwnwcc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwtnvnvynymnnnmnm. What is prob of sequence ntyn?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1396, 2783, 4170, 5557, 6944, 8331?\nAnswer: 9718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -146361 (base 9) in base 7?\nAnswer: -523201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100686 * 774.6\nAnswer: 77991375.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f*j**3 - 633*f*j**2 + 2*f*j - 417*f - 5 wrt j?\nAnswer: -30*f*j - 1266*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/1)\/4 + (16 - (-494)\/(-46)). What is the smallest value in -4, 2, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.1 + 17.8. Let y = -14 + o. What is the nearest to 0 in -0.05, -1, y?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and -2507.\nAnswer: -2507.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i - 6. What is the units digit of v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 57. What is o(-18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39 (b) 0.017 (c) 81\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154604.998 - -154147. Let b = m - -458. What is b rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0) + 3*1. Suppose -o - 4 = 0, 4*v - 2*o - 23 + p = 0. Determine m, given that -1\/2*m**2 + 7\/4*m**4 + 5\/4*m**v + 0 + 0*m = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 + -43. Let k = j - -271. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -349251 or -349330?\nAnswer: -349330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -0.822883155224.\nAnswer: -0.922883155224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15982?\nAnswer: 2, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -724 - -876. Suppose -3*y + 37 + 15 = 2*v, -2*y - v + 33 = 0. What is the remainder when g is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -409 - -405. Suppose -o + 2*z = -5, -4*z = 2*o - 7*o + 1. Let g be (4\/51)\/((-2)\/o). Which is the third smallest value? (a) g (b) x (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - 12)\/43 - (-2 - -3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 509 = 25. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265397 equal to -265397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, t: 9}. Give prob of sequence tqtt.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 + -120.\nAnswer: -119.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*v - 1, -3*v - 109*n = -112*n - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*sqrt(1216)*-2*-4)**2 + 5)*-6.\nAnswer: -466956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 50782548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 211, 327, 299, 61, -453?\n\"Answer: -11*u**3 - 6*u**2 + 211*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17\/(-6))\/((-540)\/648))\/(1\/(-5)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.509331 micrograms to milligrams.\nAnswer: 0.001509331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 3. Suppose -4 = -i - i. Let k(o) = -i*o - o + 9 - 3. Let z(u) = -5*b(u) + 3*k(u). Give z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*(0 - 2). Suppose -3 - 19 = -i + 3*t, 5*t = z*i - 70. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-4)\/(-26) + (-10)\/65?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 21*c**2 + 6*c + 6. Let j(t) = t + 1. Let m(d) = 6*j(d) - 2*w(d). Let o(y) = y**2 + y - 1. Let z(g) = -m(g) - 15*o(g). Is z(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*f - 4*c, 20 = 2*f + 21*c + 45 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(72) - (sqrt(72) + 2 + -5)) + -1 + -1 + 2*sqrt(72) + sqrt(72))**2.\nAnswer: -612*sqrt(2) + 937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*p**4 - 1910*p**3 - 486*p**2 + 1910*p + 478 = 0. What is p?\nAnswer: -1, -1\/4, 1, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-418)\/1425 - 4 - 117\/(-27)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 - 1.3. Sort 0.2, l, 5.\nAnswer: 0.2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 1892379559408 - 1892379559408.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2858*s**2 - 955*s**2 - 916*s**2 - 945*s**2.\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 170029100 a multiple of 2180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llyoyyooo. What is prob of sequence ylyl?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-17 - 3) - 40 - -27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15825*j**4 + 4*j**3 + 5*j**2 + 1108196*j.\nAnswer: 189900*j**2 + 24*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*i + 13, -5*i = -3*o - 22 - 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*z**3 + 126*z**3 + 150*z**3.\nAnswer: 353*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2448)*-2 + (sqrt(2448) + -1)**2 + -4.\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2975383334?\nAnswer: 2, 7, 11, 59, 327469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 12 = -25*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -30) + (-11 - (-10 + 5)) + 4 + -4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -520259, -1041622, -1562983, -2084342, -2605699, -3127054?\nAnswer: -3648407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 + 121*u**2 - 9*u + 26. Let p(s) = 30*s**2 - 2*s + 6. Give -9*p(d) + 2*t(d).\nAnswer: 4*d**3 - 28*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3 - 1 - 1)*(-7 + 5 - 9).\nAnswer: 11*u - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411907.\nAnswer: 23, 17909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41673 divided by -4.\nAnswer: 41673\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s + 13. Determine a(6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3159)\/(-234) + (-6)\/4. Calculate the remainder when 659 is divided by -6*117\/(-54) + o\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3582 - 3524. Solve -35*q - g = -6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 377 and 299?\nAnswer: 8671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -18 (c) 1\/3 (d) 0.5 (e) 72 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -338, -668, -1018, -1394, -1802, -2248?\n\"Answer: -o**3 - o**2 - 306*o + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13811 times 473?\nAnswer: -65.32603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + (-26)\/((-988)\/(-551)))\/((-2)\/(-12)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2 + 6*y - 7 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 - 3*x**2 - 15*x + 17. Determine i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(5 + 4 - 18)*(-2*t**4 + 2*t**4 + t**4) to the form j*t**4 + s + y*t**3 + w*t + b*t**2 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyx when three letters picked without replacement from xmjyxmyjy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 12 + 10 + 11)*(5*a**2 - 21*a**5 - 76*a**4 - 4*a**2 + 78*a**4).\nAnswer: -777*a**5 + 74*a**4 + 37*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uev when three letters picked without replacement from ufuefuueuvffufuff.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82\/(-2)*(-43 - -42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 - 4*d**2 - 4. Let s be (0 - -8 - -1)*-1. Let n(m) = -9 + 6*m**3 - 4 - 9*m**2 + 4. Give s*q(x) + 4*n(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/4*104\/((-18720)\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 - 5*k**4 - 15*k**3 + 5*k**2 + 10*k.\nAnswer: 5*k*(k - 2)*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.5 - -6. Let w be -1 - (-7 + 3) - 2. Which is the closest to w? (a) -4 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2740378 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3253*i**2 - 48*i**3 + 3253*i**2.\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5767 plus -109.9?\nAnswer: -5876.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(90)\/sqrt(2))**2 + (1*(0 + sqrt(5)) + sqrt(5) + 1*sqrt(20))**2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -95*k + 476. Let r be v(5). Suppose -2*o = -4*z + 146, -5*o = -z - z + 325. What are the prime factors of r*18*o\/(-18)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Suppose 5*m + x = 11. Suppose 3 = m*b - 15. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.98 - -1.8567. Round d to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 27 = -78. Suppose 816 = 21*r - o*r. Calculate the highest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**8\/36960 - a**7\/1540 + a**6\/264 - 7*a**5\/660 + 11*a**4\/4 + a + 7. Let p(s) be the third derivative of k(s). Factor p(y).\nAnswer: 2*(y - 7)*(y - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.834 and 0.0742.\nAnswer: -0.6554828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 10*k + 6, -t + k = -150. Which is smaller: t or 436\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*c - 136*c = 12*c + 901*c + 4298 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3545 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -29, -4, 65, 30 in descending order.\nAnswer: 65, 30, 5, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24082 and -17.5?\nAnswer: -421435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/8, -1, 0.03, 2\/749?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2657751 and 32.\nAnswer: 2657783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + -11)*(-14)\/(-4). Let h be (-210)\/n + 4\/(-14). What is the greatest common factor of h and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s - 11. Let x be u(-7). Let f = -45 + x. Solve -4*q = -f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**6\/120 - g**5\/60 - g**4\/24 - 6*g**2. Calculate f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*q**2 + 1226*q**2 + 7081*q**2 + 3725*q**2.\nAnswer: 12509*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3 + 3*d + 21*d**2 - 9*d**2 - 10*d**2. Let s(w) = -w**3 - 11*w**2 - 9*w + 5. Let b be s(-10). What is the units digit of k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:21 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0*l + 4*p + 146, -3*l = 2*p - 163. Solve s - l = -64 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 11:52 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 12*q**3 + 6*q**2 - 6*q + 2. Let c(y) = 13*y**3 + 5*y**2 - 5*y + 2. Give 6*c(u) - 5*h(u).\nAnswer: 18*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m**3 - 5*m**2 + 4*m + 5. Let z be ((-2)\/(-3))\/((-30)\/180). Let w(l) = 9*l**3 + 6*l**2 - 5*l - 6. What is z*w(b) - 5*j(b)?\nAnswer: 4*b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 33058.73 years?\nAnswer: 33.05873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-867)\/102*(-4)\/(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 2*v + 3. Let y be w(-2). Suppose -t + 5*a = 2*a - 112, -312 = -3*t - y*a. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o**4 + 1256*o**3 - 33280*o**2 + 21632*o = 0. What is o?\nAnswer: 0, 2\/3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2. Let a(p) be the first derivative of -23*p**5\/120 + 2*p**3 + 14. Let z(u) be the third derivative of a(u). Calculate z(w(t)).\nAnswer: -46*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.691 - -7.591. Which is the biggest value? (a) -3 (b) -9 (c) z (d) -0.3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 210086, 210522, 210956, 211388, 211818, 212246?\n\"Answer: -g**2 + 439*g + 209648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173721*l**5 + 218845*l**2 wrt l?\nAnswer: 10423260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/5)*h**16 assuming h is positive.\nAnswer: h**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -394*b + 1358*b + 63624 for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i + 0*i**4 + 0*i**3 - 91\/60*i**5 - 62*i**2 - 23\/70*i**7 + 0*i**6 + 0. What is the third derivative of l(v) wrt v?\nAnswer: -1656*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 153*n + 1379. Let v be m(-9). Let x(w) be the first derivative of 0*w**v + 8*w - 18 + 8\/3*w**3. What is the first derivative of x(r) wrt r?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 4*j**2 + 14*j + 15. Let y be g(-6). Solve 4*i + y - 11 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -260. Suppose 19*a + n = 20*a. Is a 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 540 and 67905?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96638827 to the nearest integer?\nAnswer: 9831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 842345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(1250))**2.\nAnswer: -250*sqrt(2) + 6255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1300) - sqrt(52) - sqrt(3328)*-1)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3248713 and 538.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 21668421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 9:02 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 53*p**2 - 1. Let t(j) = -100893*j. Give d(t(f)).\nAnswer: 539508064797*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**4 + f**3 - f**2 - f - 1. Let x(p) = -p**4 + 5*p**3 - 16*p**2 - 5*p - 5. Let u(r) = 5*j(r) - x(r). What is the third derivative of u(c) wrt c?\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Suppose -2*v + w*v = 50. What is the greatest common factor of v and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 5. Let c be p(9). Let s be 68\/448 - c\/14. Is s < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1375 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 28 + (-2 - (-4 - 27))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12243001031 (base 5) to base 3.\nAnswer: -1000212120010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11507096.\nAnswer: 2, 17, 211, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13038 (base 12) in base 16?\nAnswer: 656c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -5. Let k = -36.5 + 41.6. Let l = k + f. What is the closest to -1\/2 in l, 2\/5, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9487121 is divided by 1581185.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(40\/(-1) - (10 - 7)). Suppose -3*o + m = 2*o - 2*g, -3*o - g + 129 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -1.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6 + (-5)\/(-15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 0. Let p = 6 + j. What is the units digit of (1 + p)*(-2 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10100?\nAnswer: 10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 12. Let s = j - -17. Solve -s*x = 10 - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 0.3 (c) 5209 (d) -1 (e) 11 (f) 3\/2 (g) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5377 by -3.\nAnswer: -5377\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73377333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 47*r**2 - 2*r - 11. Let k(n) = -24*n**2 + n + 6. Determine -6*h(i) - 11*k(i).\nAnswer: -18*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 1595*j - 70 + 298 - 92 - 68.\nAnswer: -1595*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1156.953 * -0.4\nAnswer: 462.7812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9048881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 429*p**3 + 3871*p**3.\nAnswer: 3442*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225\/7 - -2648\/63. Let y = s + -29\/3. Is y bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*l + 7 + 36 = 0, -5*u - 135 = -l. Let z be u\/16 + 1\/(-4) + -3. Let p(j) be the first derivative of -j**3\/3 - 2*j**2 - j + 2. Determine p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173275888 a multiple of 5672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.5 + 121.4. Let f = -116 + g. Let y = -6 + 8. Sort -1.1, y, f in decreasing order.\nAnswer: y, f, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - b - 14 = 158, -5*u - 5*b + 300 = 0. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4914)\/15)\/13*-5 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 8 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16047 divided by -14999\nAnswer: 16047\/14999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1218 and 74?\nAnswer: 45066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c + 3. Suppose -c*b = -0*b - 15. Let g(v) = v - 2. Let t be g(1). Put -4, t, b in ascending order.\nAnswer: -4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8321128 centuries to millennia.\nAnswer: 0.08321128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158*w - 13*w**3 - 158*w)*(-3*w**2 - 3*w + 3*w + (-3*w - 3*w + 4*w)*(-3*w - 4*w + 4*w)).\nAnswer: -39*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/21*(-9)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.244 (b) 0.5 (c) -8\/3 (d) -7.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 118\/(-5) - (-2)\/20*6. Sort 0.1, p, 2, -2, 3\/7.\nAnswer: p, -2, 0.1, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -3*m**5\/100 + 9*m**4\/20 - 4*m**3\/5 - 20*m. Solve n(p) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 474 = 490 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from pqoeoeosoreqep?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2169 + 13*v**2 - 2247 + 4410.\nAnswer: 13*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40673, 162322, 365075, 648938, 1013917, 1460018?\n\"Answer: p**3 + 40546*p**2 + 4*p + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:50 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + 17 - 12*u + 5*u - 11 as i*u + v and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 323 = -657. Let g = 618 - k. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3 = h - 13, 4*h = -3*r + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1 - -4) + 1 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1218 - -6093\/5. What is the nearest to -0.2 in 2\/17, a, 3, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, n: 1, l: 5, f: 1, w: 1, p: 3}. Give prob of sequence ls.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -169 and -0.1.\nAnswer: 16.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3192 = 3*t + 4953, 4*m - 2*t - 10868 = 0. Suppose -w - 740 + m = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 142\/3*w**3 + 32256*w - 2208*w**2 + 73728 - 1\/3*w**4 = 0.\nAnswer: -2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40*-2*(-3)\/12. Let y = 25 - q. Factor -3*o**4 + 5*o**y - 7*o**5 + o**5 - 2*o**5.\nAnswer: -3*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 8329*f**2 - 4224*f**2 - 4151*f**2 - f. Let h(y) = -2*y**2 + 0*y + 0*y. Determine h(t(x)).\nAnswer: -4232*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 56.48876 millennia?\nAnswer: 564.8876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 4. Let r be s(3). Suppose -2*n + c = -32, -n + 3*n - r*c - 34 = 0. Calculate the remainder when 3 + -4 - 2\/(-4)*118 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -778*x + 307317. What is f(395)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/(-168))\/(4\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + 1 + -2 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 15) + (6 + -16 - -51)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11856?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000731 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 15 = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -388\nAnswer: -116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30515 and 20543.\nAnswer: -9972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b - 24*b - 108 = -47*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 41*h - 14*h - 700 = 0. What is the remainder when 860 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 184*b + 184*b - 3 + 3*b**2 + 3*b**3 in the form g*b + r*b**2 + i*b**4 + z*b**3 + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1783422 - 5?\nAnswer: 1783417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25476 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*m + 200*m = 89*m + 188232. Does 46 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.2 + -6. Let i be (2\/(-4))\/((-90)\/36). Which is the closest to f? (a) i (b) 3 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, 80, -6, 1666.\nAnswer: -6, -2, -0.2, 80, 1666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3276312471 a multiple of 1265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/13, 1\/4, 35?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t + 90. Calculate f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*a = -41, 2 = -2*a + 12. Let x be (18 - w) + 3*1. Let p be (x - 2)*13\/26. Let b(n) = 8*n**2 - n - 1. Calculate b(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = -0. Suppose -2*l = -3*q + 11, 5*l - 2*q + v*q + 53 = 0. Let u be (-24)\/l - 16\/40. Solve -j = -2*a + 2, 0*a = -2*j - u*a + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 380?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 272050\/30 + 6 - (-2 + (-4)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3711 + -3705. Let s(t) be the second derivative of t + 0 + 1\/5*t**r + 1\/2*t**4 - 11\/10*t**5 - 6*t**2 + 11\/3*t**3. Solve s(a) = 0 for a.\nAnswer: -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 8*g + 9. Let a be t(-7). Let b(m) = 16*m - 27. Let y be b(6). Suppose 0 = -3*i - o + y, 3*o = i + a*o - 23. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6364584, 6364577, 6364570, 6364563, 6364556, 6364549?\n\"Answer: -7*t + 6364591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/4 - 3\/3. Let n(x) = -x**2 - 9*x + 26. Let q be n(p). Suppose 0 = -q*k - 2*h + 152, 0*h = -3*h. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.13 (b) -0.3 (c) -0.05 (d) -0.2 (e) -5 (f) -4 (g) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 7*o + 1 - 8*o - 1 + 0*o**2 + 68*o**3 in the form v*o**3 + j*o**2 + u + n*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - 23\/4. Let g = 123 + -72. Let p be 3\/2 - g\/y. Solve 2*h = 4*u + p, 0 = 3*h + 3*u - 5*u - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8832 = 59*p - 6708 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Let d = 210 + -211. Sort d, k, -5 in increasing order.\nAnswer: -5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 20 - 36 + 10 - 148703*c**3.\nAnswer: -148703*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -20*l. Let f(d) be the second derivative of -d**3 - 3*d**2\/2 + 136*d + 8. Calculate c(f(p)).\nAnswer: 120*p + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4306 in 0.4, -3\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -3*a**2 + 1. Let u(c) = 5*c - 92095422 + 92095422. Determine u(h(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 12, g: 2, i: 2, v: 2, a: 1}. Give prob of sequence iagq.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4 - 3508*w**3 - 10472*w**2 + 14032*w + 41952 = 0. What is w?\nAnswer: -874, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = f - 4, -5*l + f = -f + 23. Let q = -487\/68 - 37\/34. Let z = q + 8. Which is the second smallest value? (a) z (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v + 57. Let t be i(-6). List the prime factors of (-3 - -5)*161 + t.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, -1, 6, 8375 in increasing order.\nAnswer: -22, -2, -1, 6, 8375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 126845.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 13604.\nAnswer: 13\/13604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-2) + 0)\/1. Let r = 3.2 + -0.2. What is the nearest to 1\/3 in r, a, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**5 - 44*s**4 - 298*s**3 - 736*s**2 - 480*s = 0.\nAnswer: -12, -5, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -2*c - 117*d + 118*d, 0 = -4*c + 9*c + 3*d - 45 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78216 and 36.\nAnswer: 234648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + ((-36)\/(-1))\/3. Suppose 2*g = -4*c + i, 0*g - g - 3*c = -3. Suppose 93 = g*x - 6*x. Calculate the remainder when x is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9704 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259 or -4396\/17?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -48. Solve 0 = 5*j + c - 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/495 and -119\/12?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-1125)\/(-100))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 14 + 3 = 0. Let o(v) = -7*v + 167. Let h be o(22). What is the third derivative of 17*q**6 + 18*q**2 - n*q**2 + h*q**2 wrt q?\nAnswer: 2040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h + 832 = 0. Let f = -79 + h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58635 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 476 + 496 + t)*(-t**3 + 0 + 0).\nAnswer: 2*t**4 - 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-3)*(-23)\/((-3220)\/(-360)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2920, -3012, -3140, -3322, -3576, -3920, -4372?\nAnswer: -4950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16370?\nAnswer: 2, 5, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -y + 4*a + 152, -2*a - 10 = 0. Suppose y*n + 1842 = 135*n. List the prime factors of n.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 8*z - 45. Let u be n(-15). Let q = u - 51. Suppose 2*p - 3*p = -4*h - 14, 0 = -3*h - q. Solve 0 = 3*m - 13 - p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/(-15) + (-5)\/25*3. Suppose 0 = 2*n + 2*d + h + 3, 0 = -d - 5. Solve -7*p - s + 4 = -2*p, -n*s = -p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 7 - 1) + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8. Let r be (-1)\/(-7 - -6) - -4. Put 1, h, -5, r in decreasing order.\nAnswer: r, h, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7648972934.\nAnswer: 2, 821, 4658327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -3996.5345?\nAnswer: -3996.5345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-50)\/((v*v\/(v**(-2\/15)\/v*v))\/v**(2\/5)) assuming v is positive.\nAnswer: v**(1474\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(2 - (-49)\/(-28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 2, 5*p - 137*o + 75*o + 66*o = -56 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s = -5899 + 5569 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3609 rounded to 1 dp?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + x**2 - x. Determine s(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/11 - 703506*g**2\/11 + 1407006*g\/11 - 703502\/11.\nAnswer: 2*(g - 351751)*(g - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 - 75 - (-2 - -4). Let x = c + 343. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6596363 or 6596342?\nAnswer: 6596363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*h**3 + 18*h**3 + 50*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**6\/16 - 3*b**5\/10 - 39*b**4\/32 + b**3\/2 + 9*b**2\/4 - 4281. Solve v(n) = 0 for n.\nAnswer: -2, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16599978 divided by 102469.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -547 - -21?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -6)\/(1\/(-1)). Let k be -1*(0 + b) + 10. Let j = -7 + k. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 3*l + 17. Calculate the remainder when 43 is divided by g(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**6\/6 - 112*f**5\/5 - 2*f**2 - 7*f + 381. Find the second derivative of y(q) wrt q.\nAnswer: -20*q**3 - 1344*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 227128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51.38417ms?\nAnswer: 0.05138417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68*6\/(-90)*5\/21. Let l = 3548\/4123 + -2\/589. Let v = l + m. What is the third biggest value in v, -4, -1.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 932, 848, 696, 476, 188, -168?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/10 - (-24)\/16)\/(54\/20). What is the biggest value in -1\/477, -2, 3\/4, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/3759154?\nAnswer: -1\/3759154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + 22. Suppose -4*f - 148 = 64. Let y = f - -64. What is the greatest common factor of y and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 13 - 2*w + w - 4 + 16. Let j be u(19). Suppose -j*p + 4*p + 16 = 0. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 - f**2 + 4. Let c(k) = 5*k**3 - k**2 + 3. Let l(h) = 4*c(h) - 3*s(h). What is the third derivative of l(o) wrt o?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 209 - (164\/205)\/(2\/5). Calculate the highest common factor of s and 28356.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.438 + 3.038. Let p = -11.99 + 12. Which is the third smallest value? (a) -2\/11 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (40\/2)\/2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58\/87)\/(4\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0898678kg to milligrams.\nAnswer: 89867.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3969)*-2)\/(-3*(sqrt(7) - sqrt(252))) - ((1*sqrt(294))\/sqrt(7))\/(sqrt(42)\/sqrt(7)*-6 + sqrt(6)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 3595309488?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 725476.3 years in decades?\nAnswer: 72547.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7997.\nAnswer: 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1584, 1730, 1960, 2262, 2624?\nAnswer: 3034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + ((sqrt(700)*-1 + -1 - (sqrt(700) - ((5 + (sqrt(700) - 1*sqrt(700)))**2 - sqrt(700)))) + 2)*4).\nAnswer: -480*sqrt(7) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 93*g + 258. Let f be a(-95). Solve 180 + 228 = f*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.053 - -591989221.\nAnswer: 591989221.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 39677372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.4 + -7.04. Let u = r + 1.64. Which is greater: -55 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 7\/3*t**3 - 1\/2*t**2 - 5 - t. Is x(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(25\/150). Sort 5, x, 2 in descending order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(108) + sqrt(108) + 1 + sqrt(108) - (-1 + sqrt(12) + sqrt(3)) - (sqrt(72)\/(sqrt(12)\/sqrt(4)))\/(-3*2*sqrt(8))))**2.\nAnswer: 182*sqrt(3) + 8713\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3640.2 to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011001001101 - 10010111100101?\nAnswer: 10100000001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 216022459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -470*p - 2. Let w be o(2). Let h = -527 - w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300 divided by -5.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007602536208 rounded to 4 decimal places?\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-four fifths of a century?\nAnswer: 15360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/11 - 880*f**2 + 2*f\/11 + 880 = 0. What is f?\nAnswer: -4840, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65471 = -4*g - q, 3*g - 5*q - 42414 = 6649. List the prime factors of g.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -4, 2 in ascending order.\nAnswer: -7, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*o - 40*o - o)*(-2*o + 208 - 208) as t*o + d*o**2 + n and give d.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 371*t**2 + 19*t - 122. List the prime factors of j(5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24\/13 - -9\/26. Which is the smallest value? (a) y (b) 3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-32))**(1\/24) assuming d is positive.\nAnswer: d**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2359 - 2358. What is the closest to 1 in -4, -9\/8, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3372503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 22*f - 107. Determine l(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 0. Let q = -40596 + 40591. Sort 0.1, r, q.\nAnswer: q, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 15014996*r**2 - 28181338184832*r - 281811880350720.\nAnswer: -2*(r + 10)*(r + 3753744)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.31 - 26. Let l = g + -0.61. Let i = 0.6 - 0.9. Which is the closest to l? (a) 1\/4 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*g + 2*c + 27, 80 = 4*g - 4*c. 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 j(k) = 3594*k - 131. Is j(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + -69 + 7 + -23 + -23 + 1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*s = 1290 + 18917. Calculate the remainder when s is divided by 50.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-4 + 4)) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 306 + 222. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-1814)\/4)\/(4\/(-12)))\/((-24)\/(-16)) is divided by 53.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -405232 + 130484587\/322. Calculate the common denominator of f and 6.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-1 - 4) - (-6 + 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2451.\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bb - -6728?\nAnswer: 6827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/11, -5, -2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05326 + 493.80326. What is h rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 566 + 124 + 26*q + 191 + 126.\nAnswer: 26*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - (-80)\/15. Solve 3*t + 2*g - 5 = 0, 0 = -3*t - 2*t + r*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddm when three letters picked without replacement from dddmdmmdddddmd?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jji when three letters picked without replacement from ijjjjjijijjiijjjiji.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 562 and 174782.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 - 335*a**2 - 6320*a - 26560 = 0.\nAnswer: -8, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*l - 22 = 0, 8 = y - 3*l + 2*l. Suppose 212 = y*m - 745. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91984079 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 456624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16784865.300032 - 16783296. Let g = -1572.3 + q. Let k = 3 + g. Round k to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26884 is divided by 4475.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103.58 * 3785.\nAnswer: -392050.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 + 86584*v\/3.\nAnswer: -2*v*(v - 43292)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 t when four letters picked without replacement from {t: 12, d: 7}?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0 - 3 = 0. Suppose -12 = -3*l - 4*r - r, 12 = -4*r. Calculate the smallest common multiple of 48\/l*3\/p and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = 0, -l = -d + 3*l - 1. Find m such that -d*m**4 + 5 + 44*m**2 + 11 - 53*m**4 + 72*m - 14*m**5 - 58*m**3 = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus -0.0526489?\nAnswer: 13.0526489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 314314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.76 - 0.06. Let i = s + -0.2. Sort 4, -1\/3, i in increasing order.\nAnswer: -1\/3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + ((-4)\/18 - 578\/153))*(-5)\/110.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-665)\/(-10))\/19 - (-1)\/(-2). Find the first derivative of 131 + 4*r**3 - 6*r**t + 8 - 30 - 5*r wrt r.\nAnswer: -6*r**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -965012, -1930093, -2895174, -3860255, -4825336, -5790417?\n\"Answer: -965081*c + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62545 + 498649\/8. Let f = b - -213. Is -2 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) -58956 (c) 3 (d) 0.4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/16 and 51\/431?\nAnswer: 6896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 2}. Give prob of sequence xj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n = q + 24*n + 15, -2*n = -2*q + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/14 - -2 - (-100)\/175.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrkm when four letters picked without replacement from rrrmmmk?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36196 - -159082. Let d = w + -122944.0007. Let g = d + 58. Round g to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5407021 is divided by 142290.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 4*i**3 + (-11 - 5 + 7)*(-1 + 0 + 3)*(2*i**3 - i**3 - 2*i**3) in the form j*i**3 + n*i**2 + d + c*i and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -680 divided by -68.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2306097159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-2 + (-188)\/(-90)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 3. Suppose 2*m - 69 = -f. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5083*x**2 - 85*x - 170. Let k(l) = 242*l**2 - 4*l - 8. Determine -4*i(v) + 85*k(v).\nAnswer: 238*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 108*k**2 - 218*k - 78. What is t(110)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a2 - -2?\nAnswer: -4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 19, 1953, 2 in descending order.\nAnswer: 1953, 19, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -1\/24*q**3 + 2*q + 1\/40*q**5 - q**2 + 5\/96*q**4 + 0. Find f such that j(f) = 0.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**2 + 42*y**2 + 63*y**2 - 2*y + 85.\nAnswer: 92*y**2 - 2*y + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/12419 + 39569\/111771. What is the common denominator of (0 + (-6)\/44)\/(13 + 1956\/(-144)) and s?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548337467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 140 or -176?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3)*m)**(14\/9)\/((m\/(m\/(m**(-1\/4)\/m*m*m)))\/m)**29 assuming m is positive.\nAnswer: m**(1063\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 483389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*b = 2765 + 65017. Calculate the greatest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1869894 and -109\/6812?\nAnswer: 3739788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20 - (1 + (0 - 1)). Suppose 5 = -3*n + g. Suppose 19 + 6 = n*v. Solve -v*w + 4*w = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010011000 + 11?\nAnswer: 10010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5634076 and 0.03.\nAnswer: -5634075.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*z - 0*z + 5, 5*y = z - 16. Suppose 4 = -4*i - 2*b, -5*i - z = -4*i - 4*b. What is the remainder when 2 is divided by (-6)\/(-4) - i\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0894365 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 244699 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3 - (-1)\/3. Let l(b) = b**2 + b - 8. Let a be l(h). Calculate the common denominator of -39\/8 and a\/(-60)*950\/(-24).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3417000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**17*c)\/(c**16\/c)*(c\/(c*c**(-6\/11)))\/c**(-1) assuming c is positive.\nAnswer: c**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*f = -61499, -4*f + 31 = 19. List the prime factors of i.\nAnswer: 19, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbt when four letters picked without replacement from bbtbtbbb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2, 0.0181, 2\/13, 2 in ascending order.\nAnswer: -2, 0.0181, 2\/13, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 19.9, -12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8352 + -4559. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/52)\/(((-32)\/(-1))\/(-128))?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 8*d**2 - 15*d - 138. Calculate the remainder when i(10) is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -5 - -12) + 4 + 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -25*h**4\/12 - 5*h. Let l(c) be the third derivative of 0*c + 0*c**4 + 0*c**3 + 0 + 11*c**2 + 1\/30*c**5. Give p(l(v)).\nAnswer: -100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 36*i**2 + 35*i - 26. Give p(35).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 39 - 139 - 11*w + 48 + 48. Let u(d) = -23*d - 9. Calculate 7*t(y) - 3*u(y).\nAnswer: -8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 take away -1.83?\nAnswer: 1.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-15)*(-4120)\/12. Let w = p + -155. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157497186 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-12) - (-88389)\/36. Suppose 0 = -3*t + 5*w + f, -586 = -t + 4*w + 237. What are the prime factors of t?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(15\/10)\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 5, j: 1}. Give prob of sequence lj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2947099194.\nAnswer: 2, 3, 13, 643, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 15*g**2 - 17*g + 19. Let n be c(-16). Let a = -42 + n. Let y = a + 5. Sort -1, -3, y in descending order.\nAnswer: -1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 975962554?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/5)\/(14\/10). Which is greater: p or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**16*o**(15\/4) assuming o is positive.\nAnswer: o**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 37, 110, 253, 490?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 150*f**4 + 9*f**3*z**2 - 479554*z**2 - 1 wrt f?\nAnswer: 600*f**3 + 27*f**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*j - 4, j + 2181 = 3*t + 2173. Let q be (20\/(-6))\/(2\/(-9)). Solve -r - q = -t*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-9))\/(2\/15). Let o = -4 - 1. Put r, -3, o in ascending order.\nAnswer: o, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-304)\/10 - (-12)\/(-20). Let a = -35 - t. Let y(r) = 4*r - 1 + 2 + 0 + r**2. Calculate y(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -317 + 326 - u + 2*u**3 + u**3 as z + v*u**2 + k*u + n*u**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*z - 22285 - 76*z + 22305.\nAnswer: -2*z + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2402 (base 5) to base 11.\nAnswer: -2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-2)\/x*x*x)\/x))\/x**(-2\/69) assuming x is positive.\nAnswer: x**(209\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -244, -3949, -3.\nAnswer: -3949, -244, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 + 114*c)*((-c**2 + 2*c**2 + c**2)*(c + 3 - 3) - c**3 + 2*c**3 - 2*c**3) - 2*c**4 - c**3 + c**3.\nAnswer: 112*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 1. Let v = 125 - 123. Let x be 8\/(-3)*v + (-4)\/(-12). Let g(j) = -2*j - 3. Give x*t(d) - g(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**3 + 11*m**2 - 33*m + 55310?\nAnswer: 3*m**2 + 22*m - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*l + 36, 4*m + 3*l - 34 = 8*l. Suppose -3*t = m + 9. Let w(i) = -5 + 5 + i**2 + 4 + 7*i. What is w(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-8) + 2 + (-49)\/1540*-11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*h**5 - 2203*h?\nAnswer: 320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-7 - -3) + (12 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-248)\/(-672)) + (-10)\/15?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181684*c = 181784*c - 13400 for c.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 21*w + 1968. Let p be h(37). Solve -4*g + z + 10 = g, p = 2*g - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73935 is divided by 14787.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - v - 371. Calculate the remainder when 261 is divided by v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 21 - 2 = 4*q, 3 = -n. Put -24, q, 0.1, 0 in ascending order.\nAnswer: -24, q, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 3*r + 0*r + (0 + 4 - 6)*(r - 5*r + 2*r) + r + 0 + 0)*(11318*r - 12060*r**2 - 11318*r) to y*r + d + l*r**2 + h*r**3 and give h.\nAnswer: -36180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 44 times 101495\nAnswer: 4465780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300 divided by 4.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + (17 - (0 - 14))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478672 divided by -42?\nAnswer: -59016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -192 - -956\/5. Let t = -613 - -612. Is t < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -0.4673.\nAnswer: -0.009346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i**3 - 4*i**3 - i**3)*(3 + 1 - 3) - 7680*i + 209*i**2 + 82*i**3 + 7685*i - 85*i**3.\nAnswer: i**3 + 209*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 35749?\nAnswer: 35749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/75*(0 + -1). Let s = -18\/175 + n. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 2*d**2 + d. Let h be o(0). Solve h = v - 6*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 3526?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 + 254. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.7 + 2031656.\nAnswer: 2031662.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w + 16*w - 2185 + 2185 + 19*w in the form d*w + b and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 11*l + 2*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -400114?\nAnswer: 160045.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -198055024.999913 + 198055154. Let x = k - 129. Round x to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2234 - -0.255366677.\nAnswer: -2233.744633323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*(2\/(-3) + 1). Let i = m + -6. Sort i, 12, 2, -5 in decreasing order.\nAnswer: 12, 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/2993 and 73\/2.\nAnswer: 5986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 38*w**2 + 2*w + 42. Let s be q(-19). Suppose 5 = -5*p, 0 = i + p - s*p - 21. Solve -i*u - 5 = -23*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times 500.5?\nAnswer: -65.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -52, -0.11, -4, -1\/5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 2:09 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1774853 is divided by 3165.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -116922013652 + 5.5\nAnswer: -116922013646.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110556500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625710529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3 - 4) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1888 - -0.1888. Which is the nearest to 2? (a) 2\/3 (b) t (c) 6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/529872 and -91\/29382.\nAnswer: 31262448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -3*x**6\/5 + x**5\/10 - 22*x**4\/3 + 38*x. What is the third derivative of v(d) wrt d?\nAnswer: -432*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8669, -4, 6, 4, 0 in ascending order.\nAnswer: -4, 0, 4, 6, 8669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*x + 15 = 0, y + y - 12 = -2*x. Let r(f) = 1 - 6*f - 9 + y*f. Give r(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124671333171 less than 0.081?\nAnswer: -1124671333170.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - -6. Let c = l + -22. Let w = 24 - c. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.346 + 0.4. Is 1 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:21 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-25)\/(-20)*(-3520)\/200\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 96 = -5*r. Suppose 24*b - 20*b - r = 0. Suppose 3*d = -0 + b. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/45 - 1\/90. Let h = 7.08 + -4.08. Which is the biggest value? (a) -2\/3 (b) -0.1 (c) h (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597967 to the power of 1\/2, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/2250 and 29\/72.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 862, 927, 992, 1057, 1122?\n\"Answer: 65*c + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879460218.\nAnswer: 2, 939730109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 0)*8\/12. Let p be (-6)\/k*20\/15. Calculate the common denominator of 152\/(-20) - (-2)\/p and 61\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(8\/(-6))*(-22)\/33?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 451 + -9469\/21. What is the closest to 0 in 2\/11, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = 2*w. Let r be -2*12\/(-16) + 3\/w. Suppose r = 4*n - 5*n + 4. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1707349*n - 1707353. What is w(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 6) + -4 - -6 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose -2 = -5*z + 8. Suppose z + 2 = -4*s. What is the closest to s in b, 3\/7, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 23 - 32*p + (-3*p + 2*p + 0*p)*(-1 + 0 - 1).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k + 4 = 24*k - 4*o, -4*o = -4. Let b = 30 - 27. Suppose 3*n = -2*h - 1, -3*n - b = 2*n + 2*h. Let d(v) = -3*v. Let x(m) = -1. Give k*x(q) + n*d(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-28) - ((-875)\/20)\/(-25). Which is the fifth biggest value? (a) n (b) 3 (c) 0.1 (d) -0.5 (e) 13\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 0 + sqrt(98) + sqrt(2))**2 + sqrt(2)*-2 + 1.\nAnswer: -2*sqrt(2) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 - 6*t. Calculate q(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 988 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 18*i**2 + 47*i - 283. Let j(h) = 28*h**2 + 70*h - 424. Let y(x) = -5*j(x) + 8*r(x). Is y(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8549738 by -2.\nAnswer: 4274869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3351, 3339, 3313, 3267, 3195, 3091?\n\"Answer: -v**3 - v**2 - 2*v + 3355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1373 + 691 - x + 686)*(-2*x**3 + 0*x**3 + x**3).\nAnswer: x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 5*k**3\/3 - 34*k**2 - 28*k + 198. What is g in r(g) = 0?\nAnswer: -2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914641447 a multiple of 1601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 36*c - 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -25 + 10 + 14 + 5*f**3 - 4*f**3. Let q = -117 - -114. Let p(u) = -4*u**3 + 4. Give q*w(j) - p(j).\nAnswer: j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/6 + 1044725*p\/6 + 2089426.\nAnswer: (p + 12)*(p + 1044713)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + q. Suppose q*p - 2*p + 45 = -3*t, 0 = -3*p - 4*t + 25. Suppose -5*i + p = -10. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from popbppppoboovoppvpo.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 6*a**2 + 22*a + 94. Determine z(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.02 - -0.02. Let a = -0.1046 - -5.1046. What is the second biggest value in 1\/6, a, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i**(-2))**(-9\/7)\/(i\/(i**(2\/15)*i)*i\/(i*i**(1\/7)))**(4\/13) assuming i is positive.\nAnswer: i**(116\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 6 - 4*o - 10*o**2 + o**3 - 2*o**3. Let v be l(-10). What is the first derivative of 6 + 2 + v*y - 16 wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 20, -38*c = -3*q - 43*c - 16. Suppose 0*u + 3*t = 3*u - 12, 0 = -2*u - 3*t + 13. Solve -3 = 4*g + 3*h - u, -q*g + 2*h = -10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -2\/21, -0.6, -3\/8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12145 - -1071?\nAnswer: -11054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 19 - 1 = -v, -13*v = -3*s + 115 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/9*g**4 + 1\/9*g**2 + 1\/3*g**3 - 2\/9*g + 0 - 1\/9*g**5 = 0 for g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j = 24. Let z = 0.3 - 5.3. Let s = z - -4. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223817429 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**5\/2 + 8*p**4 - 35*p**3\/2 - 26*p**2 = 0.\nAnswer: -1, 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4\/5)*r**(1\/4))\/(r*r\/r**(-1\/9))**13 assuming r is positive.\nAnswer: r**(-4859\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2272668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2. Let r(s) = 9*s**2 + 24*s. Let y(m) = -4*d(m) - r(m). Find the second derivative of y(h) wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 15, -4*o + 8*v + 28 = 4*v. Solve 3*s = -9, x = -3*x - o*s - 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -3*p**6\/10 - 3*p**2 - 3*p + 7. Let t(y) be the first derivative of i(y). What is the first derivative of t(k) wrt k?\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 4*t + 5. Let j(z) = -1. Let u(s) = 10*j(s) + 2*r(s). Factor u(c).\nAnswer: 2*c*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/19 (b) -2\/13 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -804*(-92)\/136 + 28\/238. Calculate the highest common divisor of r and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 0, -5*g + 0*r + 30 = -r. Suppose -14*w = 7*w - 84. Solve w = -m + g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 22 = -110*m - 55. Let s(n) = 16*n**3 + 2*n**2 + 4*n + 3. Calculate s(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/12)\/w**1*w**(-2\/9)*w*(w\/(w*w**20\/w))\/w assuming w is positive.\nAnswer: w**(-731\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.266 + 9.266. Which is the nearest to i? (a) 0.3 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a4 (base 11) to base 2.\nAnswer: -1001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/28 in 0, -2, 173?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2619, 10695, 24155, 42999, 67227?\n\"Answer: 2692*i**2 - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82756 + -55517. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*n - 65*n + 86*n + 46*n - 110*n + 56*n + 3*n - 4*n + 0*n + (3*n + 0*n - 5*n)*(-4 + 3 + 0) - 2 + 2 - 2*n + n + n - 4*n + n - 3*n + 4*n.\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(132)\/(sqrt(24)\/sqrt(2))*-5.\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 164. Suppose 3*a - 3*r = 24, 0 = -a - 0*r - r + 14. What is the remainder when g is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raprjpppeppe. Give prob of picking 1 j, 1 e, and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*s**2 - 65*s**2 + 187*s**2 - 59*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 1386, 2902, 5018, 7734?\nAnswer: 11050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -1\/2*z**2 + 1 + 3*z. Let d be b(4). Sort 1, d, 3 in decreasing order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 - 0.1. Let j = 257 - 257. What is the third biggest value in j, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, z: 1, f: 2, d: 6}. Give prob of picking 2 d and 1 o.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 - 9*t - 3. Give s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34222 - 65*b - 34222.\nAnswer: -65*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 148\/16 + (-9)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 106?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9584203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -301*t**2 + 2*t + 63. Let v(q) = -901*q**2 + 7*q + 185. Let n(c) = 8*h(c) - 3*v(c). What is the second derivative of n(b) wrt b?\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1367648 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193.3328 + 193. Let o = 0.33275977 + i. What is o rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 22 - 12)*(4*n**2 - 2*n**2 - n**2) - 2*n**2 + 3*n**2 + 0*n**2.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 19*s + 138. What is the least common multiple of 84 and d(6)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 11*i**2 + 17*i - 3. Let m be j(-13). Suppose 4*b = -4*y + 300, 2*b - 2*y - 3*y = 157. What is the greatest common divisor of m and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18386472 divided by 806?\nAnswer: 22812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2219196*o**2 + 493*o - 493*o.\nAnswer: -2219196*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30047.\nAnswer: 30047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 98. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d, 5*q = 4*q + 3*d. Suppose -77 + 41 = -q*s. Solve -s*m + 4 = 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/15)\/(2\/(-50)). Let g(o) = -6*o**3 - o. Calculate the smallest common multiple of 64\/f + (-2)\/5 and g(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - z = -1, 0*z + 4*z + 30 = 5*a. Let d be (1 + 19)*(-80)\/(-50). What is the tens digit of a\/(-3) - d\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 1623915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 8)*((-2 + 2 + 1)*(6*d - 3*d - 2*d) - 3*d + d + 0*d - 2*d - 1 + 1 + 4*d - d - 2*d) + (2*d + d - 4*d)*(0 + 14 + 0).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96212 is divided by 32048.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by (-135)\/3*((-4)\/3 + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 20 = 3*g. Suppose 2*w - 13 - 4 = g*y, 9 = w - 2*y. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19647367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 2:03 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520200 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12211332300112 + 2?\nAnswer: 12211332300120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(1\/(-34)))\/2. Suppose 0 = 7*s + u + 123. Let r(j) = 48*j**3 - 20*j. Let i(l) = 7*l**3 - 3*l. Calculate s*i(b) + 3*r(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 62, -0.58, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 4, w: 2, d: 1, e: 1, x: 2}. What is prob of picking 1 d and 1 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3900 divided by 260.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**3 + 15*n**3 + 3 - 3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 2*f + 2*f + 508*f + 18098 - 18098 + (-3 + 4 - 2)*(-1 + f + 1) in the form i*f + b and give i.\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1474*l + 8199 = 83*l - 39452 - 6844. Calculate the remainder when (-116)\/((0 - 1) + 0) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/20 and -17\/270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -48*c + 111. Suppose -c*n - 6 = -954. List the prime factors of n.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) - 880\/(-704). Suppose -4*m - 3*x = -m, 3*m + 4*x + 3 = 0. What is the second biggest value in m, l, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 4 + n**2 - 4*n + 3)*(4*n - n - 2*n) to the form z + x*n + o*n**2 + u*n**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5320*w**5 + 11*w - 4*w**3 + 36*w**3 - 5333*w**5 - 4 wrt w.\nAnswer: -260*w**3 + 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 93. Let i be j\/(-96) + (-2)\/(-8). Let s = -7.7 + 8.1. Sort i, s, -18.\nAnswer: -18, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142 - (-9 - -7) - (-38 + -11 - -61).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l + 44. Calculate u(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 5*t - 6, -3*s - 15 = -2*t - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*m + 106*m = -115*m + 836. Calculate the least common multiple of m and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 83 - 75)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2348 = -m, 0 = 2*d + 2*m + 2*m - 1562. Let x = d + -439. Suppose -5*i = s - 272, 5*i - s = x - 76. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2467, -2590, -2701, -2794, -2863, -2902, -2905, -2866?\nAnswer: -2779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o + 3. Let w = -18 - -30. Let q = w + o. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*h*w + 2*g**2*h + 9022*g**2*w + 22*g*h*w - 4*g*h - 2*g*w - 2*h + 36 wrt g.\nAnswer: -2*h*w + 4*h + 18044*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54125 or 54663?\nAnswer: 54663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1082 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54699.\nAnswer: 3, 18233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11.9, 667.\nAnswer: -11.9, -4, 667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 5*v. Let z(x) = 2*x**2 - 6*x. Let i(p) = -6*s(p) - 5*z(p). Let l(t) = 2*t**2. Calculate l(i(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15)*2*613. Let s = p - -494. Let v = 11632 - 116417\/10. Find the common denominator of v and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 2. Let v(y) = y - 3. Give 3*f(w) - 4*v(w).\nAnswer: -w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from ppaappppaxpppppaapx?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 21 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 0*a + 0*a + 2*a**2. Let c(g) = 10*g**2. Let j(y) = -5*y**2. Let v(q) = -2*c(q) - 5*j(q). What is v(w(d))?\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6155463ug in grams?\nAnswer: 0.0000006155463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -13. Let q(v) = 1 + v + 1 + 1. What are the prime factors of q(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 0*u - 7*u**2 - 4*u**2 + 3*u - 4*u. Let i = 13 + -12. Calculate d(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179\/12 + 931\/60. Let u be 1\/3 + (-3)\/(-72). What is the second smallest value in -5, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -5*m**3\/3 - 3*m - 11. Let s(n) = n**2 + 1. What is 9*s(p) + 2*t(p)?\nAnswer: -p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 4*l + 5*b, -5*l + 13 - 37 = 3*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156618 = -9*x - 7047. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/10 and 752\/(-504) + (-2)\/7.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n. Suppose n = -5*p + 40 - 0. Calculate the remainder when p is divided by -1*10\/(-4)*(-12)\/(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 + 26*z**2\/9 + 20*z\/9 - 16\/3.\nAnswer: 2*(z - 1)*(z + 2)*(z + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 789 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**3*o + 7415*h**2*o + 44783*o wrt h?\nAnswer: 3*h**2*o + 14830*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -7, -3\/8, 7 in ascending order.\nAnswer: -7, -3\/8, 7, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12939 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 4, 5, -342 in ascending order.\nAnswer: -342, 4, 5, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -704*c. Let j(o) = 9*o**2. Calculate z(j(s)).\nAnswer: -6336*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-84) - ((-60)\/152 - -1). Sort -1, a, 1, 2.2 in increasing order.\nAnswer: -1, a, 1, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 19\/3 + (-22)\/66. Suppose -j*l + 48 = 8*l. Solve i - 19 = 3*c, -4*c = -l*i + i + 32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 229*m - 9 - 15 - 206*m. Let u be l(11). Suppose -u = -5*q + 271. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 410 - 14352\/35. Sort -2, -3\/4, n.\nAnswer: -2, -3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + f. Let d(q) = -q**3 + 2*q**2 - q - 3. Let b(t) = -t - 10. Let s be b(-9). Let p(a) = s*y(a) + d(a). Is p(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9401 is divided by 2328.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 70224.07 to the nearest one hundred.\nAnswer: 70200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -242 - -200. Sort w, 2, 5 in decreasing order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33297 times 6073\nAnswer: 202212681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/286*(-208)\/(-108)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 14 - (-1643538)\/(-65702).\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*u**3 + 107*u**3 - 3*u**4 + 2*u**4 - 51*u**3 = 0. Calculate u.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840 (base 12) to base 10.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(91) - sqrt(91)*-2)\/sqrt(7) + -3 + 5))**2.\nAnswer: 108*sqrt(13) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f\/(f*f\/(f*f*f**(2\/57)\/f*f*f)*f)*f))*f))\/(f\/(f*f**34))*(f**(-47)*f)**(2\/171) assuming f is positive.\nAnswer: f**(5374\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 6:15 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + 1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*j + 14 = 0, -2*i + 3 = j + 2. Let g = 5 + -6. Which is the closest to i? (a) g (b) 2\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7495 = -127*z - 11559 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - a - 6. Let x be p(6). Let y(t) = -4*t**3 - 9*t**2 - 2*t + 2. Let w be y(-2). Suppose -x = -5*d + w*d. Solve -b = -3*b + d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93991 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 121.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10370*r**2. Let z(s) = -540*s**2 - s. Calculate z(m(a)).\nAnswer: -58069926000*a**4 + 10370*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 135*w = -133*w + 1, 15*w = -4*c + 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 - 102.4. Let x = -9.79 + -0.21. Let r = p - x. Is 0.1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498 - 465 = -3*d + f, 81 = -3*d + 3*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 not equal to -8\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30264697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 + 43*w**2 + 21*w + 20. Let t be r(-21). What are the prime factors of -4*((-7570)\/t - -6)?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12642130.0139265 - -12642125. Let u = k - -7.81392562. Let f = 2.8 - u. What is f rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/1 + -1 + -9769 + 9749?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 48 = 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 tens digit of 3095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 29*n**2 - 133*n + 24. What is c(33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/44 and -119\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-962)\/(-182) - (-4)\/(-14). What is the third derivative of 23*x**g + 2 - 80*x**2 + 185193*x - 185193*x wrt x?\nAnswer: 1380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*h = -170*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 708, 1285, 1882, 2505, 3160, 3853, 4590?\nAnswer: 5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10836?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 27110*m**3 - 164*m + 326. Is z(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - ((2 + 12 - (18 - 21)) + -8 + 3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 3. Let h be j(4). What is the biggest value in -0.1, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233888143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 5*o - 20. Suppose 13 = -q - o*z + z, 0 = 5*q + 2*z. Let y(h) = -h + 4*h - q*h. Let r(f) = -4*f**2. Calculate r(y(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*1*(4 + -3). Let b be -4*2\/v*99. What is b rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -1.05 (c) -26 (d) 5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 + -98. Suppose r + 4*r = 5. Let y = r + 2. Solve y*w + m = 7*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50, -88, -112, -116, -94, -40, 52?\n\"Answer: h**3 + h**2 - 48*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 33. What is the lowest common multiple of (-8 + (-5)\/(-5)*7)\/((-1)\/4) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*b*k*v**3 + 5*b*k - 10*b*v**3 + 3*k*v**3 - 316*k*v**2 - 2*k*v wrt v.\nAnswer: -114*b*k - 60*b + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1540*p + 1715*p + 3080 = 3395*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 10. Let s(i) = i - 25. Let c(w) = -5*n(w) - 2*s(w). Let y(z) = 2*z + 19*z + 7*z. Determine c(y(j)).\nAnswer: -56*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443248.\nAnswer: 2, 13, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72669138?\nAnswer: 2, 3, 41, 67, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11142)\/(-2476)*46\/(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24894445?\nAnswer: 5, 4978889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2815\/7071 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 62*u - 106. Let p be q(2). What is the closest to p in -1, 0.2, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.07433 days to seconds.\nAnswer: 2166422.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66366566 to the power of 1\/2, to the nearest integer?\nAnswer: 8147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-5))\/(-14))\/((-4)\/288*-6)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*s**2*z - j**2*s**2 + 2*j**2*z**2 - 156*j*s*z**2 - j + 2*s**2*z**2 + 3*s**2*z wrt z.\nAnswer: 4*j**2 - 312*j*s + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*p - 11*p + 28*p)*(-148*p + 148*p + 9*p**2 - 7*p**3) in the form v*p**3 + u*p + r + o*p**2 + c*p**4 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 392, 545, 786, 1115, 1532?\n\"Answer: 44*c**2 + 21*c + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18454977193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. Is f\/(-22) + (-6995)\/(-55) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*m = -1, -137*w = -141*w + 5*m - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*x + 34*x**2 - 54*x - 31*x**2 in the form l + t*x + g*x**2 and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 379 - 374. Suppose 84 = 6*h - 2*h. Let z = h - 43\/2. What is the second biggest value in v, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 16*q = -1896. What is the remainder when q is divided by 66\/6*1*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119.36 times 0.3\nAnswer: 35.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111\/15820 - 150694433\/3527860. Let d = 4472339\/1784 - a. Let u = 2562 - d. Calculate the common denominator of 39\/25 and u.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o - 19. What is the units digit of q(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5170, 4915, 15000?\n\"Answer: 10085*p - 15255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 9:17 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -178562 to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 8 = -3*d, d = -40*b + 45*b - 46 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38267677 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 423683 and 4497558.\nAnswer: 58468254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from uzzuuu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1600084 rounded to the nearest one thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3\/4 - 60695*n**2\/4 - 7181530*n - 867067420.\nAnswer: -5*(n + 244)**2*(n + 11651)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-77)\/22*(18\/7)\/(-3). Let k be (1\/2)\/(1\/(-8)). Put k, d, -2 in increasing order.\nAnswer: k, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 48*c**2 + 19*c + 53. Let a(k) = 25*k**2 + 12*k + 26. Calculate 5*a(b) - 3*f(b).\nAnswer: -19*b**2 + 3*b - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x**3 - 29*x**2 - 40*x + 110. What is n(-7)?\nAnswer: 3428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124\/465 + (-4)\/(-10) + 270165\/63.\nAnswer: 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-24)*(-594)\/252. Let g(h) be the second derivative of 0*h**3 - l*h**4 - 10*h - 19*h**2 + 0. Differentiate g(j) wrt j.\nAnswer: -66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 978, 2578, 4810, 7674, 11170, 15298, 20058?\nAnswer: 25450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 2 - (-32 + 28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 1156405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h + 4*h - 14*h + 7*h. Let x(m) = -9*m + 43. Calculate u(x(p)).\nAnswer: -18*p + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 2*h**2 - h + 542. Calculate the least common multiple of 14 and n(0).\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262 + 157. Is (-10406)\/(-10) - 42\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/(-80)*6 - -11?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**7\/70 - w**3\/6 + 2*w**2. What is the derivative of n(i) wrt i?\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1 - (-20)\/5. Suppose -c*s + 40 = 5*l, -2*l = -3*s + s. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4733 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = 12. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 589\/564 + -112\/141. Which is the closest to 48? (a) -3\/4 (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 676*h**2 - 1231*h + 616*h + 617*h as j*h**2 + v*h + k and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605.3939 millimeters to nanometers.\nAnswer: 605393900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 319, 4, 5, -21046 in increasing order.\nAnswer: -21046, 4, 5, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*d**3 + 1046*d**3 - 1437*d + 1437*d.\nAnswer: 1095*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 - 0 - (-328 - -364).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*f**4 - f**3 - 1093*f**2.\nAnswer: -792*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**2*v - 54*r*v + 4*v - 132 wrt r.\nAnswer: 6*r*v - 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 9:56 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 2. Let j(h) = h + 2. Give -2*j(a) - l(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12448*i + 24863*i - 12414*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5231 + -5?\nAnswer: 5225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + (5*(sqrt(11) - sqrt(44)\/sqrt(4)))**2)*1 + (2 + 3 + sqrt(275))*-1.\nAnswer: -5*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, w: 7, v: 8}. What is prob of sequence vwh?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -12. Which is smaller: 0.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55687 - 55686.923046. Round x to three decimal places.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -19*h**9\/504 - 7*h**5\/60 + 4*h**2. Find the third derivative of x(n) wrt n.\nAnswer: -2280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8 + 4*m**3 - 39288*m**2 + 39295*m**2 + 2*m - 5*m**3 + 3*m. Calculate r(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 68. Suppose 2*q - 2 = r, 4*p - 3*q = -11 - 40. Which is bigger: p or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2207*b**4 + 113695*b**3 - 49772711*b**2.\nAnswer: 52968*b + 682170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 2. Let i be y(-1). What is the third derivative of 4*f**2 - 89*f**4 + 173*f**4 + 6*f - 85*f**i + 6*f**3 + 2*f wrt f?\nAnswer: -24*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 257.9 - 258. Let n = -0.17 - 0.03. What is the second biggest value in n, 2, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z - 14*z + 75*z**2 - 7 - 7 + 29*z. What is the tens digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 - 3*z**5\/20 - 5*z**4\/12 + z**3\/6 + 5*z**2 + 2. Calculate o(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 61\/341?\nAnswer: 61\/341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, -9, 18, 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19758 + -19899 - (-18 + -1).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*r + 3*f + 13, -r - 5*f - 20 = 0. Suppose d - 4 = a, d + 8 = -r*a - 0*d. Let v = 26\/5 - 161\/30. What is the closest to -6 in a, v, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)\/(sqrt(250)*1) + -4*(sqrt(128)\/sqrt(4) - sqrt(4)\/sqrt(32)))**2.\nAnswer: 10082\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**4\/18 + 7*f**3\/3 - 20*f**2\/3 + f - 53. Factor d(r).\nAnswer: -2*(r - 20)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**5\/8 + 127*i**4\/4 + 1129*i**3\/2 - 3639*i**2 + 6736*i - 3952 = 0?\nAnswer: -52, -38, 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5050505 (base 6) to base 11\nAnswer: 154302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = 65866 - 4378. Suppose 4*d - s = -5*y, -2*y + 644 = d + y. What are the prime factors of d?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19307776 divided by 16\nAnswer: -1206736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 183+4781570491\nAnswer: 4781570674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 + 431351?\nAnswer: 431255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/107 (b) -1\/3 (c) 1218\/59 (d) -2\/11 (e) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 284, 285, 286?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2 (b) -0.4 (c) -4.763 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/120 + 3*b**5\/5 - b**4\/3 + 11*b**3\/6 + 12*b**2 - 12. Is g(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -32. Let t be 277\/y - (-39)\/(-26). Let f = -71 - t. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 67 = 2*y - 69, 5*y = 2*r + 354. Solve 61*t = y*t + 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11020 and 1791620?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51155531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*x + 6*x - 19*x + (x + x - 6*x)*(0 - 1 + 3))*(1 + 5 - 4)*(3*x - 12*x - x).\nAnswer: -280*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - c + 21 = 0, 5*c = 4*d + 40 - 55 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204546 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**7\/5040 - j**6\/360 + 9*j**5\/20 + 2*j**3\/3 + 56*j**2. Let l(t) be the third derivative of d(t). Give l(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w - 6 + 3*w - w. Let y be 330\/(-48) - 2\/16. Calculate l(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 - 5526 = -26*h. Let s = 17 + -12. Suppose -s*d = -2*q + h, -2*q - d + 190 = -3*d. What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 139231634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 + 25 = 5*f. What is the remainder when f is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 1468*k - 4. Let z(m) = m. Give z(p(b)).\nAnswer: 2*b**2 + 1468*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -t - 4. Let w be 2 - (9100000 - (-2)\/t). What is w rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-10)*(1 - 87). Let o = -53 - l. Let i be (-116)\/o + 2\/5. What is the greatest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 0*y**2 + 5*y**3 - 1085*y + 0*y**2 + 1085*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/((-15)\/20). Let r be 1 - 3\/((-12)\/104). Let m be (r\/(-36))\/((-21)\/8). Which is the second biggest value? (a) p (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let a = 11\/2 + -69\/14. What is the nearest to k in 4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from facumma. Give prob of sequence cu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(3\/2)*f)\/f)**(-5\/4)\/(f\/(f*f\/(f**6*f))*f**7) assuming f is positive.\nAnswer: f**(-139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 606246, 1212492, 1818738, 2424984, 3031230?\n\"Answer: 606246*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u = 35*u - 5890. What are the prime factors of u?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -1. Suppose i = w + 2*s - 7, 5*w - 51 = -4*s. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 6. Let u(j) = -3*j**3 - j**2 - 2*j - 1. Let g be u(a). Let c be 92\/8*(22 - (7 + -1)). What is the highest common divisor of c and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0742857 * 699\nAnswer: 51.9257043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 6 - 12. Suppose -2*c - 3*t = -4097, u*c - 5*t + 1036 = 7229. Let v = c + -1257. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*k - 2. Suppose 2*p - k*b = 5*p - 113, 4*b = -5*p + 183. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1556*d + 10690*d + 14873*d + 7699*d)*((d - 5*d + 2*d)*(1 - 1 - 2) - 3 + 3 + 2*d)*(-5 + 3 + 3).\nAnswer: 208908*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 1:12 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -13 - (3 + -9). Calculate the greatest common divisor of 30 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 935373161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*s + 3*s + 24*s + 22*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 7:47 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + 161. What are the prime factors of s(0)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkyspskkhrs. What is prob of picking 1 p, 1 y, and 1 h?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -13*h**4 + 5*h**3 - 9*h**2 - 9*h + 10. Let b(v) = v**4 + v**3 + v - 1. Let c(z) = -24*b(z) - 3*i(z). Determine l so that c(l) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 10. Suppose -q - 8 = -5*q. Let m(d) = -2*d**3 + 3*d**3 + 1 - d - q*d**2 - 3. Let s(x) = 3*x**3 - 7*x**2 - 3*x - 6. What is l*m(b) - 2*s(b)?\nAnswer: b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/4 (b) 4 (c) -286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, -0.06, -5.\nAnswer: -5, -3, -0.1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 13*a - 312. What is the highest common factor of 102 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18613009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 3, 183, -10, 1.\nAnswer: -10, 1, 3, 66, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 220 - 131. Suppose 3*h - 2*v + 5*v - 147 = 0, 0 = 2*h + 5*v - f. Let x = 73 - h. Calculate the remainder when 62 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 0 + 1\/6*s**3 + 1\/2*s**2 - 2*s. Let k(y) = -y + 1. Suppose -5 = -3*h - 2. What is h*k(d) - g(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36484419 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 1:52 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3941807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 9:05 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.5 + -27. Put -2, 0.02, d in increasing order.\nAnswer: -2, 0.02, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 60928501 and -0.88?\nAnswer: 60928501.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**2. Let g(y) be the second derivative of -50*y**3\/3 + 614*y. Calculate g(f(k)).\nAnswer: 700*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:19 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -293*q**2. Let f(c) = -13*c**2. Determine a(f(p)).\nAnswer: -49517*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 11100\/(-40)*(-5)\/2*72\/270?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2368\/7*b - 16\/7 - 12348*b**3 - 12684*b**2.\nAnswer: -4*(b + 1)*(147*b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -190, 0.9, 0, 55, -3\/4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 16*y**2 - 19*y - 30. Let p be (156\/(-468))\/(2\/102). What is g(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1459946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69165568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*y + 240*y - 15 = -3*o, 3*y + 3*o - 18 = 0. Suppose 4*n + 9 - 29 = 0. Solve -g - n = -h, y*g + 13 + 12 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115038716 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 12*d**4 + 242698*d**3 - 283164*d**2 + 2*d + 40452 = 0?\nAnswer: -20226, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8*g + 16 = 0, g - 15 = 3*x - 7. Put x, -2, 0.05, 0.3 in descending order.\nAnswer: 0.3, 0.05, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**(-8\/3)\/(((i**(-3\/5)*i)\/i)\/i*i*i**(-3\/2)) assuming i is positive.\nAnswer: i**(349\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 5976\/13 (c) -0.1112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12\/13, 13\/4, -1\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8550825, -17101662, -25652499, -34203336, -42754173, -51305010?\n\"Answer: -8550837*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 81*a. Let c(y) = -164*y + 1. Determine 4*c(o) + 7*j(o).\nAnswer: -89*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 221736*t + 275*t**2 - 221736*t to the form u*t**2 + j*t + x and give u.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 1, m: 4, i: 2, o: 1}. Give prob of picking 1 d, 1 m, and 2 i.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 8\/905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 171 = -311 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g - 10. Let t(r) = 11*r - 20. Let l(a) = -9*c(a) + 4*t(a). Suppose o + 1 = j + 4, o = 3*j - 5. Suppose 0 = 4*h - o*h. Determine l(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/190 + 311\/7030. Is -2\/3 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31\/13 in -0.135, 5\/3, 2\/9?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 86180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (345 + -915 - -650)*(-1 + 2\/(-4))\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(2 + 45\/(-23)). Suppose b + r = 5*v, 4*b - 2*b + 4*v = 24. Solve b*d = d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5238 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 2 n when four letters picked without replacement from nmdknlu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3528688 is divided by 45825.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7584, 7539, 7580, 7707, 7920, 8219?\n\"Answer: 43*j**2 - 174*j + 7715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15930 (base 10) to base 13\nAnswer: -7335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 22*l - 779. What is the remainder when 857 is divided by u(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 5. Let v be u(4). Let b(r) = -16*r**2 - 4*r - 3. Let o be b(v). What is the tens digit of (o\/(-36))\/((-1)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k**7*k)\/k)*k*k))**(-2\/3))**(-2\/9) assuming k is positive.\nAnswer: k**(20\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.659 + -87092432724.\nAnswer: -87092432726.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10633925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x**4 - 5824*x**3 - 234900*x**2 + 52488*x = 0. What is x?\nAnswer: -81, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 + -76. Let c be -5 + j + 1 + (-1 - -2). Let s be 10\/2*c\/(-2). Solve 0 = -s*z - 4 - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/72 + 8\/(-6). Let c be (4 + w)\/((-6)\/(-72)*-9). Which is smaller: 8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3522 (base 10) to base 7\nAnswer: -13161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 10 = r. Suppose -o - o = 8. Let l = 1.5 + -2. Which is the smallest value? (a) o (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let q(o) = -18*o - 14. Let k be q(-1). Let r(c) be the first derivative of 4\/3*c**3 + 0*c**2 + 0*c - k. Determine r(j(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -298*y - 253.\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/6 - 899*q\/6 - 4445\/3.\nAnswer: -(q + 10)*(q + 889)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/170*(-50)\/(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 871552 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1794*0.3\nAnswer: 0.05382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1)*(-6 + 0 + 4)*(-25*d - 156*d + 317*d)*(0 + 4 - 2)*(1 + 0 - 2).\nAnswer: -2176*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-24) - 1)\/(21\/84)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-3)\/12*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -169 (base 14) to base 8\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4452)\/36)\/53*66\/(-7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.48 - -1.12. Let y = k - 4.60000042. What is y rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/18*(-23)\/1150*30.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 669812096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uun when three letters picked without replacement from {n: 1, u: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 33*a**3 + a**2 - a - 1. Let j be g(-1). Let t be ((-6)\/(-12))\/(4\/j). Is 4 + t + -2 + 1045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + -162a?\nAnswer: -1610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(8\/((-384)\/4))\/(2\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27019, 27017, 27015?\nAnswer: 27013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4\/(-3))\/2)\/((-88)\/3300). Suppose -16*p = -x - 87. Let r = -5 + 10. Calculate the smallest common multiple of r and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 58*n - 59*n - 7 = 0, 14 = 3*i - 2*n. Which is smaller: -34\/657 or i?\nAnswer: -34\/657","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 440503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.045, 1\/7, 1444, 1?\nAnswer: 1444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300 + -20123?\nAnswer: -12223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1451516 is divided by 120899?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*p + 13996 = 49*p + 8200 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 386 = 388. Let c(p) be the second derivative of -1\/3*p**3 - 13*p + 1\/2*p**q + 0 - 3\/4*p**4. What is c(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - d - 17 = 0, 3*i + 2*d - 18 = d. Solve 15 = i*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42\/17 - -219\/68. Let t = 2587 - 2588. Put v, t, -0.4 in decreasing order.\nAnswer: v, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/55 (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 2*y**2 - 3*y + 4. Let m be a(-3). Suppose -4*s - s = 0, i = m*s + 18. What is the second derivative of 4*w**5 - 35*w + 18*w**5 + i*w wrt w?\nAnswer: 440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856957605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1556 (base 9) to base 12\nAnswer: -829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 13*u**5\/60 + 16*u**2. Let t(z) = 3*z. Calculate a(t(o)).\nAnswer: 117*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 92011, 92010, 92009, 92008, 92007?\n\"Answer: -g + 92012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.35 + -0.75. Let n = -88\/639 - 6\/71. What is the nearest to 2\/5 in -4, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233 (base 6) to base 5.\nAnswer: 10431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 1.96. Let p = w - -2.01. Let i = -39889 - -39892. Which is the nearest to 2? (a) i (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11623*u + 3882*u + 3877*u + 3863*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 164 = 164. Solve t = 5*o - z, -6*o + 5*o = -3*z + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/3 - 841474196*j\/3 + 88509852816730802\/3 = 0. Calculate j.\nAnswer: 210368549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.5 (c) -2\/5 (d) 151.2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Let t(g) = 1329*g. Determine t(z(o)).\nAnswer: 2658*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5278 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 15126*z - 6763*z - 3785*z - 10820*z - 5985*z + (-3 + 0 + 2)*(-4*z + 4*z + 2*z) as h + x*z and give x.\nAnswer: -12229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854*t + 40173 = 861*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 151 - 151. Let n(x) = -18*x. Determine z(n(w)).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14 - (-6)\/18*0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 27*r + 53 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -173, -613, -1505, -2999, -5245, -8393, -12593?\nAnswer: -17995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppllpll. Give prob of sequence pll.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -2, 20, -5\/23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47147 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12616, -48.6.\nAnswer: -12616, -48.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4478*u + 2239*u + 2 + 5 - 7 + 2238*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/o**2)\/o)**(-3\/13)*(o**(2\/7)\/o)**(-18\/13))**(3\/10) assuming o is positive.\nAnswer: o**(27\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:54 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:38 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -50*v**5 + v**4 + 838*v + 1081. Differentiate x(i) with respect to i.\nAnswer: -1000*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/4 - (17 - 13) and 59\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -7 - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 = -3*i - 5*q, i + 1 = -2*q. Suppose 414*p + 144 = 418*p. Suppose 161*w = 173*w - p. Sort i, 5, -5, w.\nAnswer: -5, i, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/12)\/(12\/(-80)). Let c = l + 73. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from {r: 7, w: 1, s: 2, p: 2, b: 4, i: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1977.8 and 66 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 8*k**2 - 8*k + 10. Let h be g(7). Solve 2*c - 25 = -3*v, 0 = -c + h*v - 7*v + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 31. Let r be 2\/4 + (-15)\/6*3. What is the smallest common multiple of 24 and n(r)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/37)*k*k**(-2\/13)\/k assuming k is positive.\nAnswer: k**(-100\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 195*r**5 - 5*r**4 - 1170*r**3 - 1530*r**2 - 545*r + 15 = 0.\nAnswer: -1, 1\/39, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -46*f. Let b(t) = -t**2 - 224*t - 1. Calculate b(i(j)).\nAnswer: -2116*j**2 + 10304*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -34*u**2 + 101*u + 9. What is v(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*z + 3915, 5*h + 3915 = 10*h + 2*z. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269 - -693. 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: What is 5024 divided by 1?\nAnswer: 5024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 10:45 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -7*b - 4. Let t(x) = 3*x**2 + 2*x + 2. Let w(j) = 13*j**2 + 9*j + 9. Determine b*t(i) + 2*w(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + 283021a?\nAnswer: 2830208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -74521\/4 (b) 1\/2 (c) -1 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 5*h**2 + h + 1. Let p(v) = 2*v**3 - 9*v**2 - 2*v - 2. Let x(n) = 4*p(n) + 7*r(n). What is the units digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*t - 40, 2*g + g - 2*t + 82 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 119*c + 118*c = 3526, -2*c = 5*h - 3538. Let j be (-14)\/3*(87 + 0). Let x = j + h. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-2\/7))*n**(-1\/9)*(n**(-5)\/n)**(-24) assuming n is positive.\nAnswer: n**(9083\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (78 - (50 + -13) - 34 - (-1 + 39))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1318 times -0.4\nAnswer: -527.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 + 7*u - 8. Let a be m(4). Suppose 0*d + 4 = -a*d - 3*r, -4*d = 2*r. Let h(f) = 111 - 111 + 3*f**d. Let i(s) = -4*s**2. Give i(h(v)).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-828.\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5 - 2 - 2 + i**2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -49 + 45 + 685\/220. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -k + 12. Let o be (-1 - k)\/(5\/824045). Suppose 4*z - o = 3*m, 0 = m + 4 - 1. What is z rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -1\/4*n**4 - 2 - 2*n**3 + 3*n**2 - 5*n. Let t be c(-7). Solve -3*o + v - t = 0, -o + 5*v + 10 = -6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53\/2 - -26. Let f be 6\/(1\/2*-1). Let d be (-12 - f)\/(0 - -1). Which is the nearest to d? (a) 0.2 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-5 - -16)) + 5 + -13 + (13 - 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95451 by -2.\nAnswer: 95451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12925042 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 245319604 to the power of 1\/3, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1584))**2 - 1*(sqrt(99))**2)*-5.\nAnswer: -7430 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6584, -6636, -6688, -6740, -6792?\n\"Answer: -52*h - 6532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 7*s**2 - 10*s - 13. Let g be a(-8). Solve t - 9 = 2*y, -g*t = -5*y - 24 - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1148 = 318*v - 400*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (252\/(-105))\/((-6)\/20) - 5. Suppose -794 = -5*o + s*a, -a = -o + 3*a + 169. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 - z + 35*z**2 + 10*z**2 - 783 - 47*z**2.\nAnswer: -2*z**2 - z - 609","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from nvnnvkvnvvvvvvwvvz?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 56 = 29*y. Solve y = 30*n - 153 + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -441*j - 954*j - 3 + 3 to the form x + n*j and give n.\nAnswer: -1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 973, -1, -3, 16, 2 in decreasing order.\nAnswer: 973, 16, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = h + 15. Let w be ((-2)\/4)\/(2\/h). Suppose -w*j + 9 = -3*j. Let x(v) = v**3 - 3*v**2 - 2*v + 1. Calculate x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -7*p**6\/720 + p**5\/24 + p**4\/8 - 4*p**2. Let x(f) be the second derivative of q(f). Find the first derivative of x(v) wrt v.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3925\/444 + -1\/148. What is the common denominator of x and 93\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, q: 6, d: 2}. What is prob of sequence oqqd?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**6\/n*n*n**11)\/(n\/n**(-1)*n)**(-1\/12))**(3\/13) assuming n is positive.\nAnswer: n**(219\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/36*((-2052)\/(-48))\/19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen fifths of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 119.5, -1\/11, -2596, -4\/11?\nAnswer: 119.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7023367 + -12463\nAnswer: 7010904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 79177.\nAnswer: 79171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkjkkcjckkjkj. Give prob of picking 1 c and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*r - 58*r**3 + 2*r**4 - 16*r - 22*r**2 - 65*r**3 + 120*r**3 as b*r**4 + d*r**3 + u + w*r**2 + v*r and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/162 and 43\/36.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*r**3 - 25*f**2*r - 12*f**2 + 2*f*r**3 + 6*r**3 + 4*r wrt f.\nAnswer: 2*r**3 - 50*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382 divided by 1382?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 230. Let j(t) = -2*t + 313. Calculate j(g(i)).\nAnswer: -4*i**2 - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -15*r**5 + 7595*r**4\/2 + 992965*r**3\/2 + 3648705*r**2\/2 - 5451935*r\/2 + 401350 = 0.\nAnswer: -92, -5, 1\/6, 1, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/5831 and 131\/170?\nAnswer: 58310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*r + 33 = 0, 0 = -3*y - 5*r + 7 + 31 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210210 (base 3) to base 10.\nAnswer: -1317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 27*x**2 + 880*x - 358. Calculate a(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 694572 and 1536.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -144*q**2 + 4318*q - 18. Give t(30).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -37647*(-48)\/216 - (-8 - (2 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - 2066?\nAnswer: -2037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:52 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 333\/(-222)*10*(-2)\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3826*z = 552*z - 13194 + 4363 - 109033 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/87)\/(1\/(-2))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g - 25*g + 3*g**2 - 2*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -12. Let o = 4 - r. Let d = -5 - o. Sort 3, d, -2\/17 in descending order.\nAnswer: 3, -2\/17, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10523890.7 to the nearest ten thousand.\nAnswer: 10520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/30 - 17*i**3\/6 + 15*i. Let h(y) be the second derivative of w(y). Let x(o) = 4*o**2. Determine h(x(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0564598154 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 + 7)*1*-1. Suppose 7*p - 6*p - 43 = i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-9))\/((1\/(-4))\/((-2565)\/(-950)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**8*n)*n\/n**(-1\/6))**(9\/8))**(-9) assuming n is positive.\nAnswer: n**(-1323\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -19\/30*j**6 + 0*j**4 + 0*j**2 + j**3 + 19*j + 0*j**5 + 0. What is the second derivative of d(p) wrt p?\nAnswer: -228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -2\/7, 1\/2, -1, 0.026?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66993 - -10936. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -450*l - 1767. Determine d(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2042*o**2 + 6120*o + 16. Give c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**(1\/25)\/(j\/(j\/(j\/j**(1\/3))))**(24\/7) assuming j is positive.\nAnswer: j**(-1186\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + 2 + 2*sqrt(147) + 5)**2 + -3.\nAnswer: 224*sqrt(3) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2426*x**3 + 23*x**2 - 19*x - 4245115.\nAnswer: -7278*x**2 + 46*x - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*k + 60, -2*k - 2*j + 33 = j. Suppose -18*y + k*y = 9. Find the second derivative of n**y - n**3 + 16*n**4 - 41*n**4 + 12*n wrt n.\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 + -63. Let w(q) = 9*q**2 - 2*q - 4. Let a be w(2). Calculate the greatest common divisor of a and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/16)\/(-47*4557\/13818)\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-18 - (-21029)\/1190) + (-2)\/(-5))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 1. Let k(x) = 6*x + 1. Suppose 25*n = 49 - 24. Give n*k(a) + 2*p(a).\nAnswer: 8*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 3*u. Let x be (-1 + -1)*5\/10. Let i(q) = -5*q**3 + 2*q + 1. Let w be i(x). Let z be b(w). Solve 5*s - z*h + 22 = 0, -5*h + 0*h = s - 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5115794 decades to millennia.\nAnswer: 0.005115794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1759312309.\nAnswer: 1759312309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3314899647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 307, 306, 307, 310?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w - 2*a, 0 = w + 3*w + 5*a + 15. Let s = w + 10. Suppose 55 = 2*m + 3*x, 3*x + s = m + x. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/48 - 93\/(-24). Solve -3*a**2 - 6*a**3 + 3*a**4 + 7*a**d - 13*a**4 = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12477252 greater than -12477238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - 2*q)*(0*q - 6*q + 3*q) - 27*q**2 + 43*q**2 - 21*q**2 - 3.\nAnswer: q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-70)*(48 + -62).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -235?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**6\/21 + 2*m**5\/35 + 2*m**4\/7 - 8*m**3\/21 + 25. Suppose q(r) = 0. Calculate r.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(65) + sqrt(65)*-1)\/sqrt(5))*6.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-1 - 1 - 2)*(-3*o + o + 10*o - 1).\nAnswer: -32*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-540)\/(-2) - -1)\/(0 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146178 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: Suppose -g = -2*g + 34. Let s be (-7863)\/(-21) + 26\/(-273) + (-1)\/3. What is the highest common factor of g and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*d + 8 + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72436.53 - -72770. Round v to the nearest integer.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 21615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -4. Let p = 53 - 49. Let s(w) = 7*w**2 - 5*w. Let f(m) = 6*m**2 - 4*m. What is o*f(l) + p*s(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - c + 6. Let r(g) = -g**2 + g - 5. Give 5*r(b) + 4*z(b).\nAnswer: 3*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m**2 - 3*m**2 + 3*m**2)*(-m**2 - m**2 + 0*m**2)*(3 - 1 + 0) in the form w*m**4 + n*m**3 + i*m**2 + s + t*m and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85981832*u**3 - 22043371*u**2?\nAnswer: -515890992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -19*a + 15. Suppose a*c - 57 = -2*z, -4*z + 37 + 101 = 2*c. What is the least common multiple of 20 and z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, p: 7, r: 1}. What is prob of picking 3 x and 1 r?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 12. Suppose c*p = 5*i - 3*i - 26, -1 = 3*i + 5*p. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -4 - (22 - (15 - -11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 8*q - 5. Let u be r(7). Suppose -3 = -u*c + 17. Solve v = -4*v + c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42430253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 118, 441, 1090, 2173?\nAnswer: 3798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**7\/210 + b**6\/75 + 3*b**5\/25 - 19*b**4\/30 + 37*b**3\/30 - 6*b**2\/5 + 4*b + 10. Determine k so that r(k) = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544572 is divided by 323.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -50. Let d(c) = 26*c - 4. Let n be d(m). Find the third derivative of -3*g**2 + 40*g**4 + 6*g**2 - n*g**4 wrt g.\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g - 19*g + 23*g + 7*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose 4*x - 8*x + 20 = a. Suppose 1 - 9 = -2*u. Solve u*g = x + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2706082*b**2 - 1353079*b**2 - 1353057*b**2.\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-15))\/((-42)\/(-9)))\/(2\/4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/53 (c) 1.1 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -484.669 to the nearest ten.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -20*h**3 - h**2 + h + 1. Suppose 0 = -4*y + 5*r - 24, 3*y + 0*r - 4*r + 19 = 0. Is s(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 25 = -2*p, p + 0 = -s + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 1017204.\nAnswer: 8137632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -651*r - 16. Is m(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76 - -117) + (-58 - -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*w**2 - 3 + 13 - 3*w + 3*w - 12.\nAnswer: 115*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*y**2 - 19*y**2 - 36*y**2 - 2*y**2 in the form l*y**2 + v*y + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -11a325?\nAnswer: 11a314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -38, 2, 4, 118 in descending order.\nAnswer: 118, 4, 2, -1, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k + 10*k + 28*k**3 + (-45 + 45 + 14*k**3)*(2 - 2 + 3) as q*k**3 + p*k + w*k**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t - 4*t + 3 - 3*t**2 - t as v*t + h*t**2 + s and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 s when three letters picked without replacement from {s: 13, y: 6}?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**3 + 472*s**2 + 149*s + 716. Give j(79).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 8, -3*x - g = x - 24. Suppose -z + 6 = x. Let i = -3.97 + -0.03. Which is the nearest to z? (a) -0.4 (b) 2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.48869 - 75.\nAnswer: -76.48869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 53. Which is the second biggest value? (a) q (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1 - -2 - -1. Suppose 0 = f*j - 7*j. Suppose -2*a + 7 + 1 = j. Calculate the highest common divisor of a and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g - 3*p, g - 2*g = 5*p + 18. Suppose 0 = -g*r + 4*r + 4960000. Round r to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -66, -3\/61, -2?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*z - 80547, -5*p - 2*z = -26209 - 108039. What are the prime factors of p?\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 274*j**2*n**4 + 2*j**2*n**3 + j**2*n**2 - j*n**4 + 12*j*n**2 - n**2 wrt n.\nAnswer: 6576*j**2*n + 12*j**2 - 24*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-316)\/(-3318))\/((3\/(-10))\/(18\/(-5))).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/78*1\/2. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 13 + 5 + 21*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxqgg. Give prob of sequence ql.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a day in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 3*d**2 + 7*d + 3. Let p be o(4). Suppose 3 - 13 = -2*m, -m - p = -a. What is the second derivative of -27*n - a*n**4 + 11 - 12 + 1 wrt n?\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 121525 = -4*z, 2*z + 46*k - 43*k = -60763. Round z to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-24) - (0 - 0)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115.755 + 116. Let n = r - 0.25008. Round n to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -7 (b) -163\/4 (c) 1.8 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.88173 to one dp.\nAnswer: -51.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**2 - 3*n**2 - 7*n**2 + 2*n**2 + 19*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 5, -1\/6, 2, 0.03?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 7. Let x = 21 - d. Solve -2*j - 10 = 5*a, -x - 1 = 3*j + 2*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/27 + 140\/18. Let q = p + -4. Let y(k) = k. What is the least common multiple of q and y(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -29*n + 31*n + 4, 3*n + o - 9 = 0. Suppose -v - 23 = -0*t - t, -5*v = 5*t - 125. Solve 4*a + t = 2*x, -4*x + n*a + 36 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -420 - -423. Solve -272*r + 271*r + z = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -23. Let g = x - -6. Which is the closest to g? (a) 0.05 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 3 + 1 + 5*c. Let b be p(5). Suppose -2*l - l + b = 0. Let v(j) = -6*j - 7. Let m(n) = -7*n - 8. Determine l*v(o) - 5*m(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - -16. Let r = d + -30. Solve -r*q = 1 + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8368 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oog when three letters picked without replacement from {s: 1, o: 2, c: 1, g: 2, m: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = 4*q, -2*n + 5*q + 16 = n. Let g be 3 - -2*(-6 + 1) - -4. Suppose 4*x = 2*h + 2, -h + 4 = 3*h. Put g, x, n in decreasing order.\nAnswer: n, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11172\/231 - (-19)\/(5434\/182)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 6*m - 6. What is s(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Let d(n) = n + 5. Calculate the remainder when d(-3) is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f - 46*f**3 - 2*f**2 + 3*f + 41*f**3 + f. Let o be g(-1). Find the second derivative of o*w**3 - 7*w**3 + 2*w + 2*w**3 wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17265 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + v**3 + 4*v**2 - 3*v**3 + 3*v**3 - 6*v**3 + v**3 + (41*v - 41*v - 7*v**2)*(1 - 2*v - 1).\nAnswer: 10*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18004 and 63?\nAnswer: 162036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 2\/9 (c) -6 (d) -1.695\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 337960 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 4*n**2 - 2*n. Let s be y(-3). Is s\/6 + (-107)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.03562 milligrams to nanograms.\nAnswer: 69035620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = g - 11, 8*g + 28 = -2*a + 32 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j + 4. Let w be g(0). Let p = w + 13. Suppose -2*d + 19 = -p. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31560, -31431, -31248, -31011, -30720, -30375?\nAnswer: -29976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 0.3 (b) 0.1 (c) 0.02 (d) 2\/97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 4:15 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2\/71685965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2)*(-16)\/(-10)*(-457)\/(-3656)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 24*w**2 - 24*w - 29. Let l be m(-23). Let f = 7 - l. Solve 5*r + 5*q + 3 = 18, -3*r - q = -f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or -11.4283037?\nAnswer: -11.4283037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 0.6 (c) 5 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -6*v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-31))\/n*n**(4\/7))\/(n*n\/(n\/(n*n\/(n\/(n**(-2\/9)*n)))))**40)**(-1\/50) assuming n is positive.\nAnswer: n**(8917\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*d = 6, 5*d - 2*d + 6 = p. Suppose -f = -6*f - 4*a + 105, -4*a = p. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11251836.788 rounded to the nearest 1000?\nAnswer: -11252000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/56168 and 62\/1762271.\nAnswer: 14098168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 1 p when three letters picked without replacement from {h: 2, p: 2, a: 2, i: 1, q: 4, o: 6}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 0.028244\nAnswer: 0.00028244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2661 + -2661. Which is bigger: f or 6\/743?\nAnswer: 6\/743","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(28\/4)\/(-28)*(-120)\/3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*l + 35768, 41*u - 17896 = -2*l + 42*u. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**3 + 29*y**2\/2 + 3*y. Let d(h) = -2*h + 10. Let p(c) = -17*d(c) + 6*k(c). Suppose 3*i - 11 - 1 = 0. What is p(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (606*u**2 + 367*u**2 - 633*u**2)*(-u - 2*u - u) to s*u**3 + z*u + f + b*u**2 and give s.\nAnswer: -1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/9 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 21\/4. Let m be 1\/(-3) + (-1445)\/(-51). Suppose 0 = -m*q + 23*q. Which is the closest to o? (a) q (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p - 15*k = -32*p + 5*k - 23*k, 0 = 5*p + 8*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*p - 2*n, -3*p = p + 4*n. Solve 2 = -c + p*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aijaiiaaaiaiajiiaj. What is prob of sequence ijaj?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 210.597 and 2\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10213433 is divided by 126?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + w**2 - w + 2. Let k(g) = -11*g**3 + 4*g**2 - 12*g - 8. What is -k(c) + 4*s(c)?\nAnswer: 3*c**3 + 8*c + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4*c + 110, 6*c + 333 - 176 = 4*w + 3*c + 69 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 (base 12) in base 8?\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 149 = 176. Solve c*n - 5*g = -11 + 28, -4*g = -n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -516, 4.\nAnswer: -516, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, h: 10}. What is prob of picking 2 t?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111 - 171. Let y = i - -62. Find v, given that -v**2 - 5*v**2 + 0*v**y + 9*v - 18*v + 3*v**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3989.118m in micrometers?\nAnswer: 3989118000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/120 - p**5\/60 - p**4\/24 + p**3\/3 - 2*p**2. Let r be o(0). Solve f - 9 = g, -6*g = -g - r*f + 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 436*n + 587. Give m(-1).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**2 - 7 + 2*g**2 + 7 - 4*g**2 + g**3.\nAnswer: g**3 - 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -32. Suppose -3*j - 7 - r = -2*g, j - 27 = -5*g. Suppose -4*v + 2 + g = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114372005521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Let g(s) be the second derivative of -10*s + 29\/3*s**3 + 0 + 0*s**2. What is w(g(i))?\nAnswer: 58*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-16))\/(-1))\/(21\/(-8)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 6*g**2 - 2*g - 19. Let k be v(5). Let d = k + 6. Factor 0 + 1\/4*l**d - 1\/4*l.\nAnswer: l*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 10*i + 5*i + 5*i to f*i + g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:16 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16*y**2 - y + 18. Let j(r) = -17*r**2 - r + 19. Let b(p) = 6*j(p) - 7*t(p). Is b(-4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g - 1. Let c be l(2). Is (5\/c)\/((-29)\/21837) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 154996, 309992, 464988?\n\"Answer: 154996*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*b - 190*b + 310 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/15*(-78)\/195*(-45)\/(-12). Factor -4\/5*n**2 + d*n + 24\/5.\nAnswer: -4*(n - 3)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccckckckk. Give prob of picking 3 c.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2924 + 3413.6. Let y = u + -490. Put y, 1, 4, 0 in decreasing order.\nAnswer: 4, 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -29*j**7\/15 - j**6\/120 - 637*j**3 - 3833*j**2. What is the first derivative of t(a) wrt a?\nAnswer: -1624*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258565222 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270 - -265. Which is the closest to t? (a) -1 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 16*q + 62, -5*q - 55 = 193*c - 188*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = 0, -5*y + 3*h + 47 = -2. Suppose 0 = 5*k - 4*j + 2*j - 28, -y = -k - 5*j. Is (8\/k - 1)*1119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3))**(7\/2)\/((c**8*c)\/c*c*(c*c**(-21)*c)\/c) assuming c is positive.\nAnswer: c**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10721, 0.2, -237?\nAnswer: 10721","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00167522 rounded to six decimal places?\nAnswer: 0.001675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 8) to base 11.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 42*g + 58. Is h(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-18)*(-2682)\/(-596)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 10, 321758 in increasing order.\nAnswer: -11, 10, 321758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**14*b)**(-8)\/(b**(-2\/63)*b)**(-3) assuming b is positive.\nAnswer: b**(-2627\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56\/(-6))\/((-280)\/960). Solve -277*h = -281*h - c for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -3*a**6 - 2*a**3 - 11. What is the third derivative of c(m) wrt m?\nAnswer: -1080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**23)\/l*l)\/(l*l**(2\/9)*l*l) assuming l is positive.\nAnswer: l**(187\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 303278721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 501 - 2091 = 0. Let i = w + 239. What are the prime factors of i?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*m = 1170, -390 = -8*j + 7*j + 5*m. What are the prime factors of j?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2. Let d(j) = -3*j**2 - 5*j + 5. Let y(r) = -8*r**2 - 14*r + 14. Let f = 10 + -15. Let w(a) = f*y(a) + 14*d(a). Determine i(w(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhihwn. Give prob of picking 1 n, 1 h, and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0036 (b) -1 (c) 2\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/33? (a) 3 (b) -9 (c) -0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 12*q**2 + 23*q - 40. Determine c(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4 - -67) + 3)\/2. Calculate the greatest common divisor of 363 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1449 and 5898.\nAnswer: 4449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 845, 4 in decreasing order.\nAnswer: 845, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-6111)\/21)*(3 + 154\/(-56)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763671.9 microseconds in milliseconds?\nAnswer: 763.6719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 5672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q)\/(q**(3\/8)\/q))\/(q**(-2\/15)\/((q**(-9)\/q)\/q)) assuming q is positive.\nAnswer: q**(-989\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 1, 0.1, 4, 8\/9.\nAnswer: 0.1, 1\/9, 8\/9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4\/7 + 82*c**3\/7 + 84*c**2 + 352*c\/7 - 1024\/7 = 0?\nAnswer: -32, -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 368*c**2 + 90*c**2 + 134*c**2 + 1 + 152*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 147*y**2 + 2. Let o(m) = -5*m - 11. Calculate o(j(p)).\nAnswer: -735*p**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.004551ml in litres?\nAnswer: 0.002004551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 34 - 19 + 18*w)*(w - 5*w + 3*w + (2 + 1 - 1)*(3*w - 5*w + 3*w) + 4*w + w - 4*w).\nAnswer: 36*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7d3 (base 15) to base 14\nAnswer: -909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 2*k**2 - 3*k**2)*(3 + 0 - 1)*(-3 + 1 - 10).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 m when four letters picked without replacement from {m: 1, u: 7, n: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - l**3 + 6*l**3)*(56*l + 6*l + 11*l - 8*l).\nAnswer: 260*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1297\/70 + -132\/35. Let j = 111\/5 + u. What is the smallest value in j, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**2 - 40*o**3 - 12*o**3 + 80*o**3 - 38*o**3 to the form n*o + i + t*o**3 + q*o**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(1*1\/(-1)). Let c = -5 - -8. Suppose 0 = -2*a - 3*l - 6, -2*a - l - c = -5. Solve v = 4*t - 4*u - 4 - 16, t - a*u - 5 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2037*q - 28 - 7 - 2048*q)*(0 + 0 - 2*q**2).\nAnswer: 22*q**3 + 70*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from gggggtggggggtgggggg.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -0.0444.\nAnswer: 1.1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/5 (b) 1.3 (c) 1\/23 (d) -12.6 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.9 - 11.5. Which is the second smallest value? (a) m (b) 2\/17 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*q**2 - 578\/5*q + 83521\/5.\nAnswer: (q - 289)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 1:19 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-5))\/((-2)\/10*-4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2642198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88\/65 or -1?\nAnswer: -88\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 39*o + 7591. Calculate t(71).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/520 and 13\/88?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 2:11 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 29*q - 27*q. Let k = 35023\/7 - 5003. Let l = 3.9 - 5.6. What is the third biggest value in k, q, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/90 and 39\/23815?\nAnswer: 428670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 943*l - 375318. What is n(397)?\nAnswer: -947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 + (-122037)\/(-969) + ((-12)\/1)\/2.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/27 - (-16)\/(-6). Let t = v - -6. Solve t*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*v - 4*q + 10, -2*v + 22 = -4*q. Suppose 0 = -5*u + 6*t - 4*t + 3589, -3*u + 2161 = -v*t. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50.7178+-0.7553\nAnswer: 49.9625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6665b7 (base 12) in base 7?\nAnswer: 16562131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 + 3115*b\/2 - 57741\/2 = 0?\nAnswer: 19, 3039\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4675 by 211115.\nAnswer: -935\/42223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 + 2*m - 4. Let o be q(5). Suppose -4*z = -o*z - 5*z. Let h be (-16)\/9 + (-2)\/9. Sort h, -7, z.\nAnswer: -7, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-24)*g*g**11\/g assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -1\/6*l**4 + 2\/9*l**3 - 31 + 1\/3*l**2 - 2\/3*l. Solve g(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxggxg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 150*l**2 - 21*l - 270. Let z(v) = -15*v**2 + 2*v + 27. Let i(k) = -2*m(k) - 21*z(k). Find the first derivative of i(h) wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2 (c) -76\/7 (d) -19 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14463 (base 7) in base 14?\nAnswer: -166a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3*z**2 - 21*k**3*z + 15*k*z**2 + 1067*k*z - 8*z**2 wrt z.\nAnswer: 2*k**3 + 30*k - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118231814?\nAnswer: 2, 59115907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 14*x + 2. Let n(s) = -1001 - s + 1001. What is i(n(k))?\nAnswer: -14*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*(v\/(v*v\/v**(-10))*v)\/v*v))**20 assuming v is positive.\nAnswer: v**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*p**6 + 68*a*p**2 - 2*a*p - 600*p**6 wrt p?\nAnswer: 120*a*p**3 - 72000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 72. Let x be ((-21)\/(-4))\/(-3)*l. Solve -b + 10 = -5*d, -b - 3*d + 8 = -x*d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**3 + 3*t. Let r(j) = 3*j. Suppose -5*b + 30 = 3*w, b + 14*w + 16 = 9*w. Let h be (1\/2)\/(3\/30). What is b*r(a) + h*v(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123001300 - -112?\nAnswer: 123002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -662, -664, -666, -668, -670?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -39 + 44 - (-3 - 114\/(-15)). Let y be (3\/16)\/(6\/4). Let v = -1\/26 + 33\/13. Which is the nearest to q? (a) y (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -1. Let w = -22.9 - -23. What is the biggest value in w, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.35 - -0.05. Which is the nearest to 1\/4? (a) -2 (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10871*n**2 - 21102*n**2 + 8864*n**2)*(3 + 0 - 1)*(-3 + 2 - 2).\nAnswer: 8202*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**5\/20 + 43*s**4\/3 + 709*s**3\/6 - 440*s**2 + 7450*s. Find h such that c(h) = 0.\nAnswer: -5, 1, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 5*sqrt(171)*2)*-3 - (-5 + -2 + sqrt(171)*-1*4))**2 + 3.\nAnswer: -3432*sqrt(19) + 116083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -113*q + 6. Let k(f) = -1581*f + 85. Determine -6*k(b) + 85*t(b).\nAnswer: -119*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -684 - 215*o - 45*o**2 - 877 + 47*o**2 wrt o?\nAnswer: 4*o - 215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1117, -2266, -3415, -4564?\n\"Answer: -1149*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/291 + -476\/15423. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-10 + 1 - (-30 - -24) - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v + 3*a - 200, 3*v - 3*a = 150. Suppose -3*y - 162 = -h + v, 2*h - y - 439 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6 + 3 + 3 + 3*n**3 - 4*n**2 wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -0.01988, -1\/90, -24?\nAnswer: -0.01988","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzz when three letters picked without replacement from {e: 7, z: 3, x: 1, d: 4, n: 2}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 428 + -431.985. Let u = t + 4. Let w = u - 0.015062. Round w to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-106)\/(-34) + -4 + 6\/(-51). What is the units digit of 34 + -37 + (p - -143)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37642 divided by 1?\nAnswer: 37642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -38\/339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12202249?\nAnswer: 12202249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - x + 1. Let g(a) = -7*a**3 + 4*a - 14. Let d = -21186 + 21185. Give d*g(j) - 6*r(j).\nAnswer: j**3 + 2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -152 + -17 + 16 + (173 - 142).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o + 20*o - 102. Solve -27 = -o*t + 4*c, 5*c + 0*c + 35 = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -340546326 - 2?\nAnswer: -340546331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 10*z**2 - 6*z. Is 18 a factor of m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -9, 2, 9, 3, -1 in decreasing order.\nAnswer: 9, 4, 3, 2, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -54*l + 147*l + 343*l + 178*l. Let z(x) = 2*x. Calculate z(j(o)).\nAnswer: 1228*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 35899 = 5*p, 41*m = -4*p + 40*m + 28720. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58723*b**2*i*o**2 - 13*b**2*i + 99*b**2 + 7*b*i**2 + i**2*o - 6 wrt o.\nAnswer: 117446*b**2*i*o + i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66\/13 + -294\/65. Let o = -15349\/3 - -5190. Let a = o + -57. Find the common denominator of b and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*s + 57 = 0, -2*s - 22 + 53 = -3*g. Let d = g - -18. Suppose -4*t = n - 9 - 0, -n + 12 = d*t. Which is the biggest value? (a) -5 (b) 1\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 4:27 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 5:33 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/28582 and -103\/5532.\nAnswer: 171492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 27*q**2 + 168*q - 3. What is c(-18)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -252\/29, 3, 0.01, -18\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1121*j + 13 - 1110*j + 69)*(0 + 0 - 2)*(-1 + 2 + 0)*(-7 + 2 - 2) to t + k*j and give t.\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 62*q**5\/5 - 56*q**3\/3 + 75. Find the third derivative of o(n) wrt n.\nAnswer: 1488*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*l + 344*l + 167*l - 4 + 2 + 6 in the form r + v*l and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929900021 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -684.7231901 rounded to one decimal place?\nAnswer: -684.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -378180 by 5.\nAnswer: -75636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1001*t**2 + t - t + 3819*t**2 - 1519*t**2 to w + a*t + u*t**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z*z)\/(z\/z**(-7)))**(7\/2)\/((z*z\/z**(1\/2)*z*z)**10*(z*z\/(z*z**(-3\/8)\/z*z)*z)\/z*z**(2\/7)\/z) assuming z is positive.\nAnswer: z**(-4349\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 271.87995 from 0.1.\nAnswer: -271.77995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55088 - 1?\nAnswer: -55089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m**3 - 1. Calculate c(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-4)*v)*v**0)\/((v**(-1\/5)\/v)\/v**(2\/5))*(v*((v*v\/v**(2\/9))\/v*v)\/v*v*v\/(v*v*v*v\/v**0))**(-37) assuming v is positive.\nAnswer: v**(622\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmxwmhcmmh. Give prob of sequence wmx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 + 26*s**2 - 13*s - 46. Calculate q(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 3*m + 3*m)*(5*m + 214 - 214)*(0 + 4 - 3) in the form y*m**2 + x + t*m and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 3*k**2 + 3*k**2 + 1 as h*k**2 + d + a*k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -0.08, -565, 0.4, -18?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.1 and 21.4.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 1\/40*h**6 + 1\/8*h**4 + 0*h**3 + 0 - h**2 + 0*h - 1\/10*h**5. Let u(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -46*y + 176. Let b be f(5). Let t = 166 + b. What is the remainder when t is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30103231 (base 6) to base 16\nAnswer: -cf1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1305*g + 1338*g + 5*g**2 + 516*g**3 - 2643*g - 5*g**2.\nAnswer: 516*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 + (12 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5754.878 years?\nAnswer: 57.54878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaha when four letters picked without replacement from eahahaamvfhavhavvav?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-10)*(-34)\/3. What is the greatest common factor of 3 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1548*o**3 + 3*o - 4. Let q be c(1). Suppose -7*x = -5922 - q. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 46\/24)\/((-3)\/9). Let d be 4*((-6)\/(-56))\/(-1). Which is the third smallest value? (a) j (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 143418467860 and 5.3.\nAnswer: 143418467865.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 29138809?\nAnswer: -5\/29138809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 17630.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*s + 5*s. Let y = -1.5 - -5.5. Sort -1, y, s, 0.06 in ascending order.\nAnswer: -1, 0.06, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -186*i - 811 + 408 + 409 + 56*i in the form p + c*i and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 51 + 36. Solve -4*d - 28 = -4*l, d + i = -4*l + 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(567)*4 - ((2 + sqrt(567))**2 + sqrt(567))*-1.\nAnswer: 9*sqrt(7) + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2864 and 273241352.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - s + 6*s + 2002.\nAnswer: 2*s + 2002","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -53290807261.\nAnswer: -53290807261.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 95947 in 8, -2, -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 (base 10) in base 16?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) 5 (c) -5 (d) 16216 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1036836626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1145 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 28*h + 79. Let r be o(25). Let q be r\/((-552)\/126) - -1. Let l = -2\/13 - 7\/39. What is the smallest value in l, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 17*g**2 - 4*g + 27. Let s be o(-8). Let k be ((-145)\/(-10) - s) + (-9)\/6. Solve 5*f - 2*f - m - 10 = 0, f - 4*m = k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*f = -404*f + 4018 - 94 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100997 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 10*r - 3. Let h be p(11). Solve -2*a = -0*a - h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -645366.\nAnswer: -3226830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3959417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 14*o = -2*k + 70433, 2*k - 70446 = -4*o. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15556 + 0.02?\nAnswer: -15555.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 47 - 3 + 23*t**2 + 11.\nAnswer: 23*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19718\/19, -1, -5 in descending order.\nAnswer: 19718\/19, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4*v - 2128 = -9*y, -3*y = 2*v - 3208. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - -3232032320?\nAnswer: 3232033130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 6526116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**4*d)**(-1\/35)*(d\/(d**24\/d))\/(d**(-1\/13)*d*d*d) assuming d is positive.\nAnswer: d**(-11418\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*i + 10, 2*m - 5*i + 151 - 126 = 0. Is -16\/273 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*c + 11 - 35, 0 = -5*c + 15. Calculate the remainder when 9 is divided by 10\/a*6\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 1071*z = 1066*z - 10, -4*z + 34 = -2*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.16 and -3?\nAnswer: 18.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:12 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -21. What is the lowest common multiple of o and 46?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 172 and 19.\nAnswer: 3268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 22*k + 144. What is o(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119973 and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-49)*(-693)\/(-66)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u + 38174 - 37674 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.69 - 0.19. Suppose 8*p - 21*p = -12*p + 5. What is the nearest to -14 in 2\/5, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61584612 divided by 3.\nAnswer: -20528204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1684*x**5 - 3*x**4 + 513*x**2 - x + 6. Let q(n) = 2*n**5 + n**4 + n - 2. Let o(d) = -k(d) - 3*q(d). What is the third derivative of o(w) wrt w?\nAnswer: -101400*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 5:48 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1272\/(-66) - (32 + -18 - 33).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**6\/3 + 6*l**5\/5 + l**4 - 4*l**3\/3 - 3*l**2 - 2*l - 47. Factor k(q).\nAnswer: 2*(q - 1)*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 0*l + 13 + 2\/3*l**3 + 0*l**2. Let g be (0\/10 - (2 - -1))\/(-3). Let s(a) = -a**2. What is g*q(w) + s(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 104*n + 65*n**3 - 46*n + 102*n - 128*n**2 - 67*n**2. Let c(f) = -9*f**3 + 28*f**2 - 23*f. Let s(l) = -15*c(l) - 2*w(l). Find i, given that s(i) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -156.\nAnswer: 29\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 300?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 525 (c) -5\/398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3731404, 7462807, 11194210?\n\"Answer: 3731403*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g + 28 = 2*k, 2*g = -4. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**2 - 5*m = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2. Let b be (6\/(-4))\/(1\/(-4)). Let x be (3 + (-36)\/8)\/((-39)\/208). Let j(f) = b*f + 4*f + f + x*f. Calculate j(s(q)).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + z = 12*o - 1160, 1180 = 4*o + 4*z. Let d = 466 - o. Let h(f) = 13*f - 1. Let y be h(2). Calculate the highest common divisor of d and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**2 - 9*a**2 + 0 + 10.\nAnswer: 3*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3973685575?\nAnswer: 5, 541, 293803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 8031.\nAnswer: -4\/8031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 99, 283, 645, 1245, 2143, 3399?\n\"Answer: 10*q**3 - q**2 - q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -99. Let q = s + 87. Solve -5*x + 4*d - 8 = -33, q*x - 20 = 5*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4\/7 + 4*m**3\/7 + 232*m**2\/7 - 64*m.\nAnswer: -4*m*(m - 7)*(m - 2)*(m + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-1 + 6\/5). Suppose r - 2*y = k, 2*r - 57 = y + 33. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22 + 11 + 28\/(-14). Which is the closest to 2? (a) -7 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:02 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*c**2 - 70*c**2 - 17*c**2 + 37*c**2 + 175*c.\nAnswer: -47*c**2 + 175*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/269997400 and 29\/320.\nAnswer: 2159979200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -49*p**2 + 268*p - 112. Let s be g(5). Let a(y) = 2*y**2 + y - 1. Let c be a(-3). Solve -5*q + 7 = -3*q + z, s*z + c = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-4\/3)*j)\/(j*j*j**(2\/65)) assuming j is positive.\nAnswer: j**(254\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 18*x - 6. What is z(19)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59 - -5b?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 25*h**2 - 168*h - 166. Determine q(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125044?\nAnswer: 2, 43, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 47. Let p be g(17). Suppose -p*l + 575 = -3717. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*((-8)\/3 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*k**2 + 24*k**2 + 19*k**2 in the form l + j*k + b*k**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 20*i**2 - 1. Let z(a) be the second derivative of a**4\/6 + a + 126. What is z(p(y))?\nAnswer: 800*y**4 - 80*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7 - -2) + 1)*(14 - 232\/16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 9*w**2 + w + 12. Let l be f(-9). Differentiate o**4 - l*o**4 + 1 + 2*o**4 + 2*o**4 wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 170, 3, -3, 3526 in increasing order.\nAnswer: -5, -3, 3, 170, 3526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2174 and 2.\nAnswer: 0.4348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4920324 to the nearest integer?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 106481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75465 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106348*5.7.\nAnswer: -606183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -112, -235, -368, -517, -688, -887, -1120?\n\"Answer: -k**3 + k**2 - 119*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 105.\nAnswer: 9.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-350)\/(-250)*-5*(-56)\/(-5390)?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 5045990.\nAnswer: 4\/504599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5652 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) -95 (c) -0.4 (d) 12019 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, 1, -1149 in increasing order.\nAnswer: -1149, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1703*g - 173779. Give m(102).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100564072 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 3 - 3)*(-2*w + 3*w - 2*w) + 0 - 2*w + 0 as y*w + a and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 19*p + 44. Let h be d(-6). Let g be 27703\/(-10) + (-10)\/(h\/(-21)). Let t = 2765 + g. Find the common denominator of t and -86\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5400 and 11598984.\nAnswer: 289974600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 1:33 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - g**2 + 4*g**3 - 4*g**3 + (5*g**3 + 3*g**3 - 6*g**3)*(-413*g - 762*g + 61*g).\nAnswer: -2227*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170876 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -9. Which is the closest to 5? (a) o (b) 3\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/361 - -713\/3249. Which is the closest to 0.3? (a) -5\/2 (b) -11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*j + 154, 3*w = -4*j + 116 + 62. Suppose -3*x + 81 = -441. Suppose w = -d + x. What is the highest common factor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*x - 4*x + 70, -5*x - 58 = -2*i. Let o = 39 - i. Let r(c) = o*c**2 + 9*c**2 + 6*c**2. Let f(p) = -2*p. What is r(f(d))?\nAnswer: 80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-549)\/102 - -3) + 35\/14. Let y = 2.6 - 2.4. What is the biggest value in -9, 5\/6, y, q?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + 0*c**3 - 3*c**2 + 4*c**3 + 2*c**3 in the form q + r*c**3 + u*c**2 + p*c and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18887 - -18886.7. Suppose 2*q - 2*s = -4, 4*q + 1 = -0*s - 3*s. Which is the nearest to q? (a) -3 (b) 2\/13 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -2. Let v(z) = z**3 - 11*z**2. Let l be v(h). Which is smaller: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1709, 3654, 6017, 8984, 12741, 17474, 23369, 30612?\nAnswer: 39389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 10*a - 14. Let s be l(1). Let g = 1 + 0. What is the second biggest value in 2, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34250\/9 > -3806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1404192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -483193\nAnswer: 4831.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270422787.\nAnswer: 3, 67, 109, 12343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1 + 2 + 0 - 2. Let x(r) = -2*r + 8. Let p(d) = d**2 - 3*d - 3. Let s be p(4). Let k(h) = s*x(h) + 8*b(h). Let v(l) = 9*l. Calculate v(k(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 8*k - 7. Let w be g(-6). Suppose -5 - 10 = -w*z. Suppose x - o + 12 = 34, -o = z*x - 58. Solve -r - 3*r = -x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 183*p + 44297. Determine b(202).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s = 3, -2*s - 26 = -3*y. Suppose 10*v - y*v - 1802 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*g = -6391, 2*k - 4250 = 5*g - g. What are the prime factors of k?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + 4*(sqrt(242) + -4*sqrt(242)))**2 + -2.\nAnswer: -139494 + 5280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:59 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -202, 6\/7, -0.172?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65930120 rounded to the nearest 1000000?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 655? (a) 0.4 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i - 20 = 0. Suppose 3*c + i*h = 15, -3*h + 12 = h. Find the first derivative of 2*z**2 - 2*z**2 - c + z**3 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148 and 450.\nAnswer: 33300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 147 + -137. What are the prime factors of (-44)\/b*5\/(-1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 41, 97, 185, 311, 481, 701?\n\"Answer: b**3 + 7*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 5*i**2 - 4*i. Let o be z(3). Let n = o - -185. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence errx when four letters picked without replacement from xreexrrreee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t*t\/(t*t*t**(-4)))\/t)\/t)\/t)\/t*t*t**(-4))**(-2\/107)*t**(-3)*t\/t**0*t*t*(t**0)**(-1\/3) assuming t is positive.\nAnswer: t**(4\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*s + 7 = 0, -3*y + s - 1 = -5*y. Solve 2*w = 3*j - 2, 0 = -2*j - 0*w + y*w - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0399111 + 0.044249. What is t rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3))\/(v*v**(-5)\/v)*(v\/v**(-1\/2)*v)\/v*v*v\/((v\/((v*v**(1\/6)*v*v)\/v))\/v) assuming v is positive.\nAnswer: v**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86240 and 799680?\nAnswer: 8796480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, m: 1, a: 3}. Give prob of sequence zm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 188753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, u: 3}. Give prob of picking 1 j and 1 u.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75110953189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/5019 and 71\/28203.\nAnswer: 6740517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/3 + 1064*p**2\/3 - 3199*p\/3 + 2134\/3 = 0. What is p?\nAnswer: -1067, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/476 and -11\/18088.\nAnswer: 18088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29149895076 - 3031563000417\/104. Let q = v + -250844. Let s = -28\/13 - q. Is 2 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*n + 12, -16 = -3*m - 5*n + 10. Suppose -16 = -d - u, m + 45 = 3*d + 5*u. Let g = d + -12. Solve -16 = -2*y - g*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1825*z**2 - 374*z - 752. What is the hundreds digit of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2071788, 4143534, 6215280?\nAnswer: 8287026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1258435, -2516865, -3775295, -5033725, -6292155, -7550585?\n\"Answer: -1258430*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20053678, 40107356, 60161034, 80214712, 100268390?\nAnswer: 120322068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25730 - 15672. What is the thousands digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-2 - (1 + -2)). Suppose f = -5, -a*y - 4*f + 650964 = -2*y. Suppose 3*m = -70492 + y. Round m to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*u = 3, -x + 4*u - 5 = -0*u. Let f(t) = -4*t + 1. Let z be f(-1). Sort x, -4, z.\nAnswer: -4, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 204 (b) -0.02 (c) 2 (d) 0.1 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-6) - 1)*2\/(-5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + o**2. Let c(r) = -10*r - 89. Let v be c(-9). What is b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4926 = -184*v + 181*v. Let s = v - -301. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2\/9, -1\/6, 754939 in descending order.\nAnswer: 754939, 2, -1\/6, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(1216) + sqrt(1216) + sqrt(1216) + 1 - sqrt(1216))*6 + 1)**2.\nAnswer: 3456*sqrt(19) + 394128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*f - 8669 = 248*f + 39057 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(2\/27)))\/((f\/(f*f**(-2\/25)))\/f*f))**(2\/23) assuming f is positive.\nAnswer: f**(-208\/15525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452365 is divided by 228.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 69*c**2 + 21*c - 21. Let n = -22 - -43. Let i(a) = 7*a**2 + 2*a - 2. Let p be 6\/(270\/(-105)) - (-3)\/(-27)*-3. Calculate n*i(o) + p*z(o).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 18 = 12. Let j be (-1870)\/33 + (-8)\/c + 1. Is -57 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-90)*-10)\/((-1)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19156 is divided by 9577.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 8, p: 2, m: 2, a: 2}. Give prob of picking 1 y and 1 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**0\/v)\/v)\/v)\/v**(-2\/17))\/(v**1)**2 assuming v is positive.\nAnswer: v**(-83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 12*i**2 + 10*i + 14. Let a be t(11). Find the second derivative of s - 3*s**3 + 3 - a + 4*s**3 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c**3 - 2*c**2 + 2*c - 1. Suppose 3*k + 24 = 5*k. Let w = k - 11. What is u(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2492, 2820, 3154, 3494, 3840, 4192?\nAnswer: 4550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 = 8. Let a(f) = -2*f + 2. List the prime factors of a(k).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 72*q = -2*c, -3*q = -11*c + 8*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 26595636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -0.07 (c) 0.222 (d) 1 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5\/2 + 2316*b**4 - 48150*b**3 + 267549*b**2 - 799809*b\/2 + 178191 = 0 for b.\nAnswer: 1, 6, 13, 1523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -583*a**3*x**2 + 959*a**3 - x**2 wrt x.\nAnswer: -1166*a**3*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 8. Let l be j(-2). Which is the closest to 1? (a) -1 (b) l (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/171 and 13\/51?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(291\/(-6) - 1). Suppose t = -3*s, 0 = -4*t + t + 4*s + 39. Calculate the greatest common divisor of t and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 181912664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o - 107. Let y = o + 72. Let v be (-30)\/4*28\/y. What is the greatest common divisor of v and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - x + 0*x**4 - 5*x**3 - 14 + 2*x**2 - x**4 in the form u*x**2 + c*x**4 + y + b*x**3 + g*x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**3 + 90*b**2 + 175*b - 750 = 0?\nAnswer: -15, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-4) + 0\/3. Let i(x) = -6*x + t*x + 0*x. Let j(b) be the first derivative of 3*b**2 + b + 1. What is -5*i(a) - j(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-24) - ((-33520)\/(-1984) - 17)?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynmm when four letters picked without replacement from nhnnnymbmy.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 243.34 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - w + 3)*(w - 2*w - 3*w) + (5 - 14 + 13)*(-4*w**2 + 3*w**2 + 3*w**2).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 31 (b) -2\/27 (c) 5 (d) 3 (e) 48.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1166928631854 - 30.1.\nAnswer: -1166928631884.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:26 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*h, 5*d - 22*h = -25*h - 3 + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-201)\/6*1\/(-6) and (-1)\/((-9)\/(-54)) - (-2 - (-71)\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -44056*b + 8479. Is v(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + -1.9. What is the biggest value in v, -2\/21, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61 minus -0.09?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 37\/7, -181 in ascending order.\nAnswer: -181, 1, 37\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*z = -28, 8*w = 3*w - 5*z + 40. Solve w + 6 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -2678, 3, 0.1656, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1518 = -3578*s - 55327 - 82155 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.8 + -9.8. Let v = -79\/3 - -235\/9. What is the nearest to -11 in v, d, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 plus -326327185.3?\nAnswer: -326326982.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glzggzzggzzzzzggzzz. Give prob of picking 2 z.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36425 and 112127.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/9*(-60)\/(-35)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u + 122. Let p(y) = 24*y - 246. What is -6*p(o) - 13*r(o)?\nAnswer: -o - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 755 or 748?\nAnswer: 755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3959?\nAnswer: 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 39*d - 252. Let r(l) = l**3 - 6*l**2 - 7*l - 9. Calculate r(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3, 450 in decreasing order.\nAnswer: 450, 3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.88 rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t - 2. Let r(c) = -61*c - 11. Let x(j) = 11*d(j) - 2*r(j). Suppose 0 = -2*p - 2*p + 12. Let s(q) = -q + p*q + q. What is x(s(f))?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 1134, 1863, 2594, 3327, 4062, 4799?\nAnswer: 5538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {j: 2, c: 1, u: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 30 = -5. Solve 0 = -2*g + b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 21 - 44 = 0. Solve 0 = -5*s - p*l + 25, -2*s - 5*l + 24 = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -2b4?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 497051177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((3 - (5 - 2)) + 11) - 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9756, 5, 4, -2 in descending order.\nAnswer: 5, 4, -1, -2, -9756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -166. Let t = 44 + g. Suppose -36 = 2*d - t. Does 26 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91894 rounded to the nearest one thousand?\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 378.4 + -378. Which is the third smallest value? (a) 0 (b) w (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*s - 6*s + 1480. Suppose 9*a - s = 14. Solve 2*x - a = 4*k, -3*k - 3*x = -0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r - 130. Let w be d(26). Solve w = u - z - 4, -26 = -3*u - z - 34 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*b - 1. Suppose 4*r = -l - 2, -3*r + b = l + 3. Which is bigger: 2\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*s - 4*s + 3*p, 4*p - 12 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**5 - u**4 + 11*u**3 + 5*u**2 - 7*u - 4. Let p(t) = -4*t**5 - 4*t**4 + 56*t**3 + 24*t**2 - 36*t - 20. Let o(y) = 3*p(y) - 16*z(y). Factor o(c).\nAnswer: 4*(c - 1)**2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w**2 + w + 3. Let l be c(0). Let k = 5 - l. Suppose 4*y = j - 12, 3*j = j + k*y + 12. Calculate the highest common divisor of 28 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649641230 divided by -129928246.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 2\/13 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466 is divided by 322.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32314275?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -2 (c) -1\/5 (d) -258 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l + 3. Let h(b) = 386*b**2 - 2*b + 1. Let w be h(l). Let z be (-2)\/7 - (-40)\/w. What is the second smallest value in z, 3, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-4*12\/16 - -35. Let c be (-31)\/(-2) - (-3)\/6. What is the highest common factor of x and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 417\/(-2502) + 146\/12. Let j = -50 - -86. What is the highest common factor of z and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*o - 193*o - 48 = -200 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -28, 63 in ascending order.\nAnswer: -28, 40, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 4:39 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 30. Let f be ((-102)\/15)\/(1\/m). Suppose -3*j - f + 561 = 0. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - 9\/(-12). Let j be (-2 - -3) + b + 0. Solve 2 + j = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -149 in descending order.\nAnswer: -2, -5, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 4*r + 4*s, 2*r = -2*r + s + 361. Calculate the greatest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -433 - -252. Let n = p + 189. What is the highest common factor of 10 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 23 + 47*p**2 - 161*p**2 + 88*p**2 + 76*p**2.\nAnswer: 50*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/(2\/(14\/21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50418 + -50415. Let a = 60 + -43. Solve f + 4*b = -0*f + a, 11 = g*f + 4*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 3)*4\/(-6). Suppose 5 + 11 = z*p. Solve -3*q + 19 = p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and 1.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6 + 84. Let t = 24 - c. Calculate the remainder when t is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 281501.8 grams?\nAnswer: 0.2815018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:46 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -21*n - 38. Let z(b) = -164*b - 304. Give 50*p(h) - 6*z(h).\nAnswer: -66*h - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 27. Let j(c) = -2*c - 1. Let g(y) = -16*y - 1. Let b(d) = -g(d) + 2*j(d). Determine b(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 h when four letters picked without replacement from {p: 1, h: 7, y: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-124)\/20*-5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + 1 + (-4 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 7*m - 7. Let s(r) = 6*r - 1 + 7*r + 0*r - 12*r. Determine -5*g(t) + 35*s(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idz when three letters picked without replacement from {t: 1, x: 2, z: 1, l: 6, d: 4, i: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0845568 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91375335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-129 - 0 - -3)\/1. Let o = -105 - g. Calculate the smallest common multiple of 10 and o.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n - 28. Let j be w(6). List the prime factors of (-69)\/12*38*(j - 4).\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2 + (3 + 2 - 3)*(3 - 6 + 2) + 3 - 4 - 1)*(6*c - 7*c**2 - 6*c)*(-2*c + 2*c - 3*c + (1 - 2 + 0)*(-2*c + 6*c - 5*c)).\nAnswer: -70*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 8:01 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2.2, -2\/9, 2\/7, -27\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 5*a + 264. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78151687369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530710 equal to 78452014\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 5\/46.\nAnswer: -2, 0, 5\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - -9)*1\/(-2). Suppose 4 = -p + 1, -5*f + 2*p + 2071 = g. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = 0, -3 - 16 = -h - 5*d. Let t = 97.13 - 96. Does h = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -8*x - 525. Let h be x\/(-63) - (-4)\/18. Solve -h*p = 9 - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaxjjeppeaseasj. Give prob of picking 1 p and 1 x.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40279291.\nAnswer: 13, 238339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18398 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777 rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 + -12?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0 + 0*m**4 + 0*m + 1\/21*m**3 - 1\/210*m**5 + 13*m**2. Factor s(d).\nAnswer: -2*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/(o\/o**(-19\/5)))*o**(-1\/22)*o*o assuming o is positive.\nAnswer: o**(633\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/17677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181 - 99. Let w = 89 - o. Solve -4*l - 2*g + w = 5, 5*g = 4*l - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = -47*j + 1148 + 233 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 8*l**2 + 6*l + 10. Let f be x(-7). Suppose 0*n + 7 = -n - 5*o, o = 5*n - f. Suppose -16 = -3*a - 1. Solve 2 = -n*j + a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/28)\/(843\/43274)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 2. Suppose -11 = 26*t - 11. Let 5*f + 1 - 3*f**2 + 2 - s*f + t - 3*f**3 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 19. Let s(y) = y - 3. Let k(a) = 5*s(a) - t(a). Let j(z) = z + 1. Calculate -2*j(w) + k(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 1, n: 1}. What is prob of picking 1 n and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743215 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -83405, -166806, -250207, -333608?\n\"Answer: -83401*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 38. Suppose r - 9 = -2*r + h, j = 5*r - 2*h. Solve r*d + 16 = 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 69*f**7\/7 - 11*f**3\/3 + 3*f + 52. What is the third derivative of v(b) wrt b?\nAnswer: 8280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -2 + 4 + 27\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3392.8 times -0.4\nAnswer: -1357.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 877417758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - 63*y**2 + 36*y - 165. Calculate g(31).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -590\/9 or -67?\nAnswer: -590\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 2*x - 2*x)*(-157 - 128 - 649 - 179 + 139) in the form m + a*x and give a.\nAnswer: -2922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 12074264.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1829761 and 1887.\nAnswer: 5489283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31361*i**3 + 10635*i**3 + 10089*i**3 + 10635*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/9)*h)\/h**(3\/8))**21 assuming h is positive.\nAnswer: h**(91\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 188937296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zozo when four letters picked without replacement from {o: 4, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l + 17. Let h be i(-7). What is the second smallest value in -0.1, 3, -4\/3, h?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 71*p**3 - 10*p**2 + 17*p - 3331. Let k(s) = -37*s**3 + 4*s**2 - 8*s + 1665. Let g(b) = -7*k(b) - 3*w(b). Differentiate g(f) wrt f.\nAnswer: 138*f**2 + 4*f + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 62736.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0641 and -3839?\nAnswer: 3839.0641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11478213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*n**4 - 12715*n - 42749.\nAnswer: 40*n**3 - 12715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j - 11. Suppose 12*r = 13*r. Suppose 72*d - 74*d + 22 = r. Let c(s) = -7*s + 6. Determine d*c(a) + 6*m(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 5, -1143 in descending order.\nAnswer: 5, -52, -1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-12) + 4\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 95, -333269.\nAnswer: -333269, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -989 or -54.8?\nAnswer: -54.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-354)\/9 - 3)\/(6\/(-54)). Suppose j - l = -s - 2*s, 369 = 3*s - 3*j. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x, -5*g + 2*x = 7*x. Suppose -5*p + 22 = g*s, -s - 4*s + 55 = -p. What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - (-48 + 106)) + 30.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j - 2*j + 2*j + (-2*j - j + 2*j)*(-4 + 2 + 3).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-1)\/2)*2. Let d be (-5)\/(-2) - s\/(-6). Let t(c) = -2*c**2 - d*c**2 + c**2. Let z(l) = -2*l**2. Determine z(t(p)).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (-8)\/12*2*-3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 19. Sort -3, i, 4, 0 in increasing order.\nAnswer: i, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 2, -0.531, -0.1, 0.7, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4 - 5*z + 6*z + 1 + z**2 + 2*z. Let s be p(-3). Solve s*h + 11 = -4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + 2*t**5 - 2*t**5 + (t + 2*t**2 - t)*(-2*t**3 + t**3 - t**3) + 6*t**2 - 6*t**2 - 2*t**5 - 29*t**3 - 13*t**5 + 29*t**3.\nAnswer: -20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 46140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b = -76*b + 144*b - 28, 5*p = 2*b + 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -9*d - 5. Let f = 1 + d. Suppose 13*p + 1415 - 1428 = 0. Sort p, 2, f.\nAnswer: f, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(44\/176 - 3\/((-1512)\/(-110))). What is the highest common divisor of 27 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7770433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241395 divided by -34485.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -8, -5, 0, 7, 16, 27?\n\"Answer: p**2 - 2*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20555823?\nAnswer: 3, 101, 179, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 25. Let k = q + -8. Which is the third biggest value? (a) 0.4 (b) k (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -33*u**3 + 3*u**2 + 2*u - 5. Let v be k(-2). Is -1 - (-48833)\/3 - (-89)\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 + 2*q**2 + 4*q + 3. Let b(d) = 8*d**3 + 5*d**2 + 11*d + 8. Let f(c) = -4*b(c) + 11*m(c). What is f(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032 times 1\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1 - 6 + 2 + 2. Let b(d) = -4*d + 24. Let j(f) = 22*a(f) - 2*b(f). What is the first derivative of j(k) wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from nnzennenfeewnnf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (59 - 29) + -42 + -7 + (3 - 6) + 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 534871744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -823\/2905 + -1\/415. Which is the biggest value? (a) d (b) 1\/4 (c) -6\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33300\/(-6475) + (-9300)\/(-1792))\/(2 - 7\/2)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 58, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 473563663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 7 = 17. Let o be 754\/14 - (-21)\/147. Let q be 38\/12 + (-9)\/o. Solve -2*c = 4*l - 20, -c = -q*c + z*l - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9025 - 9020. Solve -2*k = 2*k - 8, -d = -5*k + a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 13*c - 18. Calculate s(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/5*h**2 + 1\/5*h**5 + 0 + 3\/5*h**4 - 3\/5*h**3 + 6\/5*h = 0. Calculate h.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 616590 times 3?\nAnswer: 1849770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13275, -53425, -120469, -214401, -335215?\n\"Answer: t**3 - 13453*t**2 + 202*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 434 + -422. Suppose 0 = -16*y - w*y + 8904. Is 53 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -20\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9134, 9110, 9070, 9008, 8918, 8794, 8630?\nAnswer: 8420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18adb (base 16) to base 7.\nAnswer: 600463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.244 - 154.394. Round b to 0 dps.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 17*c**4\/12 + 3*c**3 - 32*c**2. What is the derivative of v(m) wrt m?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 29*z - 1. Let h be d(-29). Is (h - 1) + (-12)\/(-12) - -2048 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199438 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2361999243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5495?\nAnswer: 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, g: 2, u: 6, m: 1, i: 3}. What is prob of sequence im?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/9)\/((-2)\/12). Suppose 2*z + 0 - t = 0. Let i = 5 - 9. Sort i, -2, z in descending order.\nAnswer: z, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/49)\/((333\/1036)\/9).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695 + 25 + 5*l**2 - 720.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 2538*l**2 - 5068*l.\nAnswer: -2*l*(l + 2)*(l + 1267)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i = -70 - 170 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a**2 + 10*a - 13. Let i be y(-8). Let l = i + -360. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*q + 69 = 0, -2*t + 2420*q - 33 = 2419*q for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*v - 3258 = 116*v - 420 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -68*h + 159*h - 69*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**3 + 26835*v**2 - 1040874*v - 10045968 = 0.\nAnswer: -8, 47, 8906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 3. Let h(t) = 2*t + 5. Let i(s) = 6*h(s) - 10*x(s). Let y be 4\/((-16)\/36) - -6. Let m(v) = 3*v. What is y*m(w) + 4*i(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 962 + -316. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c + 3. Suppose -32 = -3*k + 5*b, -5*b - 36 = k - 5*k. Let f(y) = -18*y - 15*y - 11*y + 10 + k. What is -3*f(x) + 14*p(x)?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - 0.8. Let h = 2231 + -2230.985. Which is the third biggest value? (a) v (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8229588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 503 times 6\nAnswer: 3018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 2. Let l be h(6). Let i(d) = d**3 - 10*d**2 + 13*d - 26. Let y be i(l). Let w = 83 + y. Which is smaller: w or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72, -109, -124, -117?\n\"Answer: 11*l**2 - 70*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 255 = 445. Is b\/15*(-3)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 298698 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from {b: 1, e: 1, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2260*r + 120869 = 12389 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, 1 q, and 1 v when four letters picked without replacement from {v: 2, q: 4, u: 2, s: 2}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-2))\/s*s*s\/s**(3\/10)*(((s**(-2\/9)*s)\/s)\/s)\/((s**(1\/9)\/s)\/s) assuming s is positive.\nAnswer: s**(161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from {s: 2, i: 1, u: 1, l: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1023 - 2053?\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*h = -41*h - 7. Let t be 50\/(-175) + 16\/h. Calculate the remainder when ((-147)\/(-14))\/(t\/4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.5 + 3.2. Let l = v + 1.4. Which is the nearest to 0.1? (a) l (b) -2\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 112 = 14*l. Solve 3*r = 29 - l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -21*h**2 - 2*h + 1. Let q be 3 + (-33)\/9 - (-10)\/6. Calculate l(q).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + -2 - (-3 - -1 - 15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + (-10 - -8)) - 45.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 181, -0.1 in descending order.\nAnswer: 181, 1, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1084, -1262, -1546, -1936?\nAnswer: -2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 6:40 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9306, -18552, -27798?\n\"Answer: -9246*w - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3951 times -1345?\nAnswer: 5314095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/((-390)\/(-4)))\/(3\/39). Sort q, -44, -8 in ascending order.\nAnswer: -44, -8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 - (-32)\/(800\/825)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 5*g**2 - 7*g + 45. Let s(j) be the second derivative of j**5\/20 + 7*j**4\/12 - 5*j**3\/3 + 67*j**2\/2 - 10937*j. Give -7*b(r) + 5*s(r).\nAnswer: -2*r**3 - r + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.19 - 1.19. Let w = -0.165 + 0.065. What is the nearest to w in -3, 0, s, -0.064?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -1\/24*p**4 + 7\/24*p**6 - 1\/12*p**5 + 0*p**3 + 0 + 2*p + 73*p**2. What is the third derivative of q(g) wrt g?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27b8 (base 15) to base 12\nAnswer: -4b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/438 - -548\/219. What is the closest to 0 in 0, 0.17, j, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4126*v + 41466 - 23912 = 149586 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13536 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61 - b4?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18 - -4 - (-992)\/32. Sort -66, -3, y in decreasing order.\nAnswer: y, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*u**2 + 44*u**2 - 5 - 59*u**2 to q + o*u + p*u**2 and give p.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-500)\/(-15))\/(-10) + (-1)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 2223?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2. Let j(s) = -43598*s**2. Calculate j(n(b)).\nAnswer: -174392*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.2 - -1.8. Let o = z + -10.000001. Round o to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 37 - 1. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 + 399*y + 810 = 0. What is y?\nAnswer: -2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*m = -0*y + 22, 4*m - 16 = -4*y. Suppose -p + 28 = n + 3*p, -y*n + 15 = -5*p. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624 = -312*g - 9*g - 6438 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 11. Suppose -7*y + 3*y + 8 = 0. Suppose 27 - 7 = y*g. What is the tens digit of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -1733*i**6\/15 + 1498*i**3\/3 - 863*i. What is the second derivative of w(l) wrt l?\nAnswer: -41592*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29304 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 311124 (base 5) to base 3\nAnswer: 111221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m + 2*f - 10, 4*f + 15 = 3*m. Suppose j - 1 = m. Suppose 10 = j*y - y. Solve 4 = y*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3339 in 201, 19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.101 (b) -0.038 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k + 4*i - 14 = 0, 5*k = -4*i + 54. Solve 0*d = -2*d + k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 131*c**2 + 378*c + 1600. Let d(k) = -176*k**2 - 376*k - 1600. Let o(l) = 3*d(l) + 4*t(l). Factor o(g).\nAnswer: -4*(g - 100)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 1111 = 173. Calculate the remainder when d is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - z + 38. Let y be d(0). Suppose -4*o = -58 - y. Suppose -3*r = -29 - 19. What is the highest common factor of o and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Suppose -9 = -3*f - 0*f. Let p = f - m. Solve 0*r - 2*r - 4 = p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -759*w + 304366. Calculate k(401).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -457789 - 1421*h + 915568 - 457782 + (-6 + 4 - 2*h + 1)*(1 + 2 - 2) to k*h + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/5, -4, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-55)\/10 + 4). Let w(i) = -3*i - 1. Let d be w(1). Let k(g) = 4*g**3 + 3*g + 2. Let v(h) = 5*h**3 + 4*h + 3. Give a*v(z) + d*k(z).\nAnswer: -z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 10 + 29)*(8 + 6 - 4)*(1 - 2 + 7)*(3 - 3 - q) to the form z*q + u and give z.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b - 238. Let t be j(26). Let z(h) = 8*h**2 + 6*h + 52. Does 16 divide z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 100101001?\nAnswer: -100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 548181, 2192936, 4934261, 8772156, 13706621, 19737656, 26865261?\n\"Answer: 548285*k**2 - 100*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) -4 (c) 2\/9 (d) -38 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + o - 2 + (2*o - o + o)*(5 - 4 + 2)*(0 + 3 + 0) to the form b + a*o and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -215, 8 in descending order.\nAnswer: 56, 8, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 - 3*b**4 - 2*b**4 + (3*b + b - 6*b)*(0*b + 0*b - 2*b**3) - 24*b**4 - 2*b**4 - 6*b**4 + 0*b**4 - b**4 + 2*b**4 - 2 + b**4 + 2.\nAnswer: -27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 582641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25*((-9)\/5 + 3). Let a = g - 12. Let j be 189\/a - 2\/4. Calculate the highest common divisor of 80 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Suppose -6 = -0*l + n*l. Let m be l\/(-4) - (-5)\/(-10). Put -2\/5, 0.3, m in descending order.\nAnswer: 0.3, m, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvvo when four letters picked without replacement from vonjv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from wjwqqqq.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a - 128. Let r be v(-22). Suppose o + 221 = 4*g - 4*o, 0 = -3*g + r*o + 165. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t + 5. Let i(v) = 5*v + 1. Let p(z) = z. Let d(x) = i(x) - 6*p(x). Let h be 741\/26*(-6)\/(-9). Suppose 30*m - h*m = 44. Give m*d(r) - j(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -16*q + 5*q**3 + 13*q + 3*q**2 - 13*q**3. Let z(j) = -8*j**3 + 4*j**2 - 4*j. Let w be ((-8)\/(-8)*8)\/(-2). Determine w*g(o) + 3*z(o).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 + 0)*(2*x**2 + 0 + 0).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540 (base 8) in base 15?\nAnswer: -3c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-866799)\/(-15540) + (10\/(-7) - -1). Let a = o + -223\/4. What is the closest to -1 in -1\/3, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 871 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2 + 57*d**3 + 5*d**4 - 300 - 3*d**2 + 17*d**4 - 30*d**4 wrt d?\nAnswer: -192*d + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(209) - 5*sqrt(209)*1)\/sqrt(11))**2.\nAnswer: -7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -2921*i**4\/3 + 579*i**3\/2 - 2586*i. What is the second derivative of c(k) wrt k?\nAnswer: -23368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + 5 + 2 + (16 - 15) + 32?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7 - 2 - z**2 + 8*z - 8 + 4. Let i be t(5). Suppose -i*v + 42 = 4*v. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 33 = j, -3*w + 9 = -5*j + 2*j for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-5) - (-24)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**4\/14 - 4*y**3\/21 - 1. Factor v(j).\nAnswer: 2*j**2*(j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72127, 144252, 216377, 288502, 360627, 432752?\nAnswer: 504877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4201*v**2 + 6 - 19*v**3 - 4201*v**2.\nAnswer: -19*v**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - 488\/18 - (-21)\/189\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3430 and 1118523?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5.2. Let m = -1.4 + j. Let n be ((-2)\/3)\/(1\/(-3)). What is the biggest value in 0.5, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18453241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/8 + q**2\/8 + 3*q\/2 = 0. What is q?\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 - 156. Let r(k) = 10*k**2 - 179*k - 11. Let o be r(18). What is the second smallest value in o, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -653\/13 (b) 4\/3 (c) -1\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21601?\nAnswer: 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r. Let u = 214 + -213. Let x(w) = w - 2. Let y(q) = -18*q**2 - 4*q + 8. Let i(b) = u*y(b) + 4*x(b). Give i(j(p)).\nAnswer: -882*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.139977525 minus 99.552?\nAnswer: -100.691977525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061294170?\nAnswer: 2, 5, 13, 131, 121039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - -45) + -2 + 4 + -13?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - 4*a + 3. Suppose -4*b + 17 + 3 = 0. Let q be (-26)\/(-10) - 3 - 23\/b. Let r(c) = 4*c**3 + 7*c - 5. Determine q*s(k) - 3*r(k).\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = -4*f, 2*f + 3*t = -t - 14. What is the units digit of (13\/(-3))\/(f\/27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96350000 to the nearest one million.\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2 - 0. Let m be 2*-2 + (45 - l). Let b = 54 - m. What is the remainder when 71 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3 + (-41 - -36)\/(1\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.212984 nanograms to tonnes.\nAnswer: 0.000000000000003212984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 63*p**2 - 805*p + 52. Calculate b(-18).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**4 + 64*g**3 - 288*g**2 + 512*g - 320 = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*o**3 - 2*o + 38*o**3 - o**2 + 2 - 18*o**3 + 2*o**4 as f*o**3 + v*o**2 + d*o**4 + m + b*o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 221020?\nAnswer: 221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110\/339 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.4 + 15.4. What is the third smallest value in -5, i, 26\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/25)*(t**0*t)\/t*(t\/((t\/(t*t*t\/(t\/t**6)))\/t))\/t**(-2\/7))**(-6) assuming t is positive.\nAnswer: t**(-9666\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-9)*0)\/2. Suppose j*l = -l. Suppose z + l = 3. Solve -x - f + 10 = -0*x, -5*x + 10 = -z*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 438 = -78*j. Put 4, j, 7 in decreasing order.\nAnswer: 7, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 45*p**2 + 30*p - 113. List the prime factors of b(17).\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114426 - 1?\nAnswer: -114427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/4*-1 + 1)*-1. Let h be n - (-9)\/(49140\/3872). Let p = -24\/455 - h. Find the common denominator of p and 113\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 3, -10, -1, -1\/445?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + ((-9)\/(-3) - 1) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 189340*q - 51678345.\nAnswer: 5*(q - 271)*(q + 38139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - -130. Let z = 31914 + -32052.31. Let b = z + q. Round b to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*v**3 + 2023*v**3 + 160*v**3.\nAnswer: 1991*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/752, 0.13, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -4 - -4) + 4\/(-2). Let z be (-2)\/s + 166\/(-6). Let k be (-408)\/(-16)*30*(-6)\/z. What is the highest common divisor of k and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a - 6. Let n(c) = 1. Let x(v) = -f(v) - 5*n(v). What is the tens digit of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w - 132 + 51 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 3 - -5) + (6 - (-14 - 2)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + 1884*i - 1 + 0*i**3 - 1859*i to t + o*i + m*i**2 + h*i**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 799750013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12803 divided by -12803.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 740*y**2 + 388371*y + 387630.\nAnswer: -(y - 1095)*(y + 1)*(y + 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*m**4 + m**3 + 17*m*u + 36861*u wrt m?\nAnswer: -72*m**3 + 3*m**2 + 17*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 16*f + 31. Suppose 10*r - 220 = 5*r + 5*j, -48 = -r + 2*j. What is the remainder when r is divided by l(17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 7*u**2 - 418*u - 2518. Let w be f(-6). Solve -15*n + 11 - w = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 2. Let w be (-725)\/(-55) + -1 + (-9)\/(-11). Suppose 5*c + w = -0*c - 2*p, 4*c - 4 = 2*p. Let q(m) = -m + 1. What is c*q(i) + y(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Let v be 0\/(-1) + (1 - 6\/(-3)). Calculate the highest common divisor of z and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**14\/((z*z\/z**(-8))\/z) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101111100011010010 (base 2) in base 5?\nAnswer: 104110124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/13)\/(c**13\/c)*c**10\/(c*(c\/c**(-6)*c)\/c) assuming c is positive.\nAnswer: c**(-128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/2 - 1*-1. Let m = d + -4. Let w(x) be the second derivative of -x**4\/12 + x**2 + 5*x. What is w(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -536*y**2 - y + 245*y**2 + 203*y**2 + y**3 + 1 to o + j*y**3 + h*y + c*y**2 and give c.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163 + -104. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 6) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/(q*q**5))\/((q*q\/q**(-2))\/q**(-3)) assuming q is positive.\nAnswer: q**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 23 = -7. Let n be (-8)\/(-18) - (-82)\/18. What is the derivative of -10 - n*o**f + 3*o**4 + 13 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*h - 1041 + 901 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 n when four letters picked without replacement from cxddcnxxcdccod?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-4)*(-74)\/(-2). Let x = -38 + 19. Let j = k + x. Solve 5*t = 3 - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -24*f**3 + 14622*f**2 - 3675*f + 12799. Give m(609).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 7. Let o be 273\/35 + (-4)\/5. Let a(k) = -1 - o + 6 + 2*k**2 - 3. Determine 7*a(i) - 5*j(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1606 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e5232 - 1?\nAnswer: -4e5233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventeen quarters of a millisecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:21 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 4, i: 1, z: 2}. Give prob of picking 1 p and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avaavvvavvv. What is prob of sequence vvvv?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005274305 rounded to five decimal places?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3580842 by 7734.\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5*r + 2*r**2 + 0*r - r + 2*r**4 to the form s + m*r**2 + w*r**4 + l*r + k*r**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, z: 7}. Give prob of sequence zj.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -227*c - 4270. Let u be p(-19). Solve -u = 38*d - 157 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-16)\/(n*n**(2\/5))*n**(-11)\/n*n**(-6\/7))**(4\/3) assuming n is positive.\nAnswer: n**(-1412\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - 2*sqrt(117) - sqrt(117))*-6)\/(sqrt(9) + 1*sqrt(81)\/sqrt(9)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3 - (-5)\/(-15))*(10 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 18 - 49 - w**2 + 18.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/21 and 76\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -18. Let w = 15 - h. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50 - -2b1b0?\nAnswer: 2b160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Let h(y) = y**3 + 2 + 2*y**k - 2*y**2 + 2*y**2. Let z(p) = -p**3 - 1. Determine h(w) + 2*z(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11313 (base 5) to base 15.\nAnswer: 3a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {k: 2, y: 1, d: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 5. Suppose 2*b + 3*d - 7 = 0, 2*b + 0*d - 2*d - 22 = 0. Suppose -b*u + 68 = 12. Determine s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4))**45*(z*z\/z**(1\/8)*z)\/(z*z**1))**(23\/3) assuming z is positive.\nAnswer: z**(-1909\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2 - 4*q**3 + 6*q**2 - 3*q - 1\/4*q**4. Does 9 divide h(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.4 (b) -0.3 (c) -3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + k + 4873 = 0, 4*r - 2489 - 16967 = -5*k. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 2. Let w(k) = 2*k**3 - 12*k**2 + 3*k - 3. Let c be w(6). Suppose h - 9 = -4*h + j, 0 = -5*h - 5*j + c. Suppose h = -6*g - 16. Give i(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12791 - 11047\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-18)*(-5)\/(-3)*6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70887395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**6\/120 - m**5\/10 - 7*m**4\/24 - m**3 + m**2. Let s be f(-5). Suppose -15 = 4*k - k. Put k, s, -3 in descending order.\nAnswer: s, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81807 - -161811. Suppose -4*r + 2*p = -2*p + 160016, -2*r + p = k. Round r to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1732?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/((r\/r**(-35))\/r)*r)\/(r\/(r*r**4*r*r)*r))**(-19) assuming r is positive.\nAnswer: r**494","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -811489*q**3 + 6530974*q?\nAnswer: -4868934*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n - 1. Let p be u(2). Suppose 5*f - 82 = -12. Let q be (0 - f)*(-2 + 1). Calculate the highest common factor of p and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*f + 25*f - 190 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0.2. Let d = h - -0.3. Let t = -12 + 11.7. Sort t, d, 1\/8.\nAnswer: t, d, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -2. Let g = -2 - a. Let v be g - (0 + -1 + -1). Sort v, -5, 2 in decreasing order.\nAnswer: v, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 + 5614 - 5611 - 3*r**3 - 3*r**3. Let l(c) be the first derivative of -13*c**4\/4 + 5*c**3\/3 + 5*c - 1. What is 3*l(t) - 5*v(t)?\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1483?\nAnswer: 16313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-19)*r\/(r**29\/r) assuming r is positive.\nAnswer: r**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022*c + 4725 = 335*c + 390*c + 402*c for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-15) - (-9)\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/((q\/(q\/q**(-6)))\/q*q))\/q)*q)**(-31)*q**7*q\/(q**(4\/3)\/q) assuming q is positive.\nAnswer: q**(395\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.47 - 16.192. Let m = h + -0.274. Let c = m + -0.004. Which is greater: c or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 28*k**2 + 112*k + 128.\nAnswer: 2*(k + 2)*(k + 4)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 2*a**2 - 4. Let v(r) = -3*r + 24. Let n(d) = -d + 6. Let l(w) = 15*n(w) - 4*v(w). Calculate the remainder when l(-5) is divided by s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - (-3 + 1)) + -2. Let p be 1\/(10\/k + -1). Let l = -3 + 4. Calculate the highest common factor of l and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.158, -35.7, 2\/15, -3?\nAnswer: 0.158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**(-11\/7)\/((o*o**(-3))\/(o\/(o\/(o**9\/o*o)*o*o)*o)))**(1\/5) assuming o is positive.\nAnswer: o**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 5*y**2 - 1. Suppose 3*c - 4*c - 1 = w, -3 = -3*w. What is the tens digit of a(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 11:23 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306449295, -306449296, -306449297, -306449298, -306449299, -306449300?\nAnswer: -306449301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 10021?\nAnswer: 10040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28 - 116)\/(((-18)\/4)\/3). Let i = 286 - g. Calculate the greatest common divisor of i and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27684670 and 312.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 7:05 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, h: 3, v: 2, g: 2, m: 5}. What is prob of sequence dm?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1165552 and 3104?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3\/8, -1, -0.04, -11, 4 in descending order.\nAnswer: 7, 4, -0.04, -3\/8, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 926 - 978. Let x(q) = q**3 + 53*q**2 + 30*q + 25. Does 7 divide x(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 4)*(-1 - 1 + 4) + (0 + 0 + 1)*(3 - 3 + 2))*(0*h + 0*h - h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 8*b**2 - 6*b - 4. Let v be g(7). Let n be -5 + (-636)\/(-132) - 117\/(-99). Calculate the greatest common factor of v and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*4\/6)\/((-2)\/(-23)). Let b be m\/2 - (-2)\/(12\/9). Let d be -1 + (-8)\/(-20) + (-26)\/b. Solve l - 12 = -d*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, c: 9}. Give prob of sequence cc.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**6\/10 + n**5\/5 + n**4\/3 - 11*n. Suppose s(x) = 0. Calculate x.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -219 - -231. Let j(c) = -c**2 + 10*c + 104. Is j(n) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 2*n**2 + 0*n**2 + 2*n**3 + 2*n + 2093 - 2093 + 75*n**3 + (2 - 2 - 1)*(n**3 - n**3 - 2*n**3).\nAnswer: 79*n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -72*q**2 + 37*q. Let j(t) = 663*t. What is j(n(c))?\nAnswer: -47736*c**2 + 24531*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + (-12)\/9 + 17\/(-54) and -139\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:16 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/48 and 69\/1688.\nAnswer: 10128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/8360 and -147\/7503100.\nAnswer: 15006200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 166. Let o = f + 214. Calculate the greatest common factor of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 + 14*k + 4. Let f(w) = 4*w**2 + 9*w + 3. Let c(p) = 8*f(p) - 5*x(p). Let o be c(-4). Calculate the highest common divisor of o and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/13)\/n))\/n**(-1\/4)*n**(-10)*n*n**(-14)*n assuming n is positive.\nAnswer: n**(-1031\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8632 is divided by 69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**7*j)*(j\/(j**(1\/6)*j*j)*j)\/j)**(-10\/7) assuming j is positive.\nAnswer: j**(275\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*v + 6 - 40*v + 47*v**3 - 8*v - 5*v - 45*v**3 to the form p*v + j*v**3 + k + f*v**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -39. Let z = 10 + a. Let k be z\/12 + (-22)\/(-6). Solve 4*b + k*p = -8, 0 = 3*b - 4*p - 0*p + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -177*n + 427. Let r(t) = -59*t + 130. Determine 2*g(v) - 7*r(v).\nAnswer: 59*v - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.310756354 rounded to three decimal places?\nAnswer: -0.311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5971021398.\nAnswer: 2, 3, 23, 14422757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362362.\nAnswer: 2, 3, 393727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 285*h - 900.\nAnswer: 5*(h - 3)*(h + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 3\/7, -1323\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a\/(a\/(a*a\/(a**(-4)\/a*a*a*a*a)))*a)*a)**(-1))**(-49)\/((a**(-2))**(-1\/19)*((a\/((a*a**0)\/a*a)*a)\/a*a)**24) assuming a is positive.\nAnswer: a**(-2320\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-20)*(-25)\/(-30)*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*h = 858, 5 = -5*h + 20. Let x = 354 - i. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - q - 2, -p + 5*p = -2*q + 2. Let m be 3\/(3 - 1 - p). Suppose 0 = -m*l - 12. Is -4 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 9:12 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00310971 to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/32 and 69\/250040?\nAnswer: 1000160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24951676 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 68446*j + 1171213729 = 0 for j.\nAnswer: -34223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 27\/688, -63, 3 in descending order.\nAnswer: 3, 27\/688, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrztrrxzjfjfjjf. Give prob of picking 1 r, 1 x, and 2 f.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -36. Let p be (-24)\/16*(-20)\/6. Suppose -a*i = p*d - 190, -42 - 49 = -2*i + d. List the prime factors of i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**4 + v**2 + 1. Let h(b) = 18*b**4 - 3*b**2 - 12. Let c(t) = h(t) + 3*j(t). Find the first derivative of c(k) wrt k.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 2 - (-9 + -11 + 23 + -3 + -9).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 547 = -2*t, -17*g + 22*g - 540 = -5*t. Is g a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2223*n**2*w**3*z**3 + 171*n**2*w**3*z - 5*n**2*w*z**3 - 4*n**2*z**3 - 18*n*w**2*z + 3*w**2*z + 3*w wrt w.\nAnswer: -13338*n**2*z**3 + 1026*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0, 1, 4, 3\/8, 187\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87670 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-87))\/((-5)\/(-60)*-2).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 30 = w. Suppose 0*p - 2*p + w = 0. Solve -p*v = -3 - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -u - 2, -4*u - 2*b = -7*u + 2. Suppose -2*d - 2 = -u. Solve 4*f - 2*f - 8 = d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = -4*a - 4*c, c + 3 = 2. What is the remainder when a is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 22*q - 20*q - 2*q + 66*q**2 - 38*q**2. Let d(s) = 3*s**2. Determine -21*d(r) + 3*x(r).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**7\/189 - 4*a**6\/45 + 23*a**5\/90 + 2*a**4\/3 + 32*a - 2. Suppose s(j) = 0. What is j?\nAnswer: -1, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7847 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -51, -76?\n\"Answer: -25*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 3*u**2 - 5*u + 2. Let b be h(4). Let m(q) = -352*q - 3. Is m(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-195)\/(-104)*(-4)\/(-10). Which is the closest to -5? (a) 11 (b) 1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.022047688226 and -0.81?\nAnswer: 0.832047688226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 41. Which is the third biggest value? (a) -0.7 (b) y (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 336\/(-108) - -19 - 17\/1.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.959 - -2.159. Which is the smallest value? (a) 56 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13570, 27138, 40714, 54304, 67914, 81550, 95218, 108924?\nAnswer: 122674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -3*g**5 + 3*g**4\/2 + 5*g**3 - 3*g**2 + 130. Factor f(m).\nAnswer: -3*m*(m - 1)*(m + 1)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 43836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29666\/30 - 96\/(-720)?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 times 5.06932\nAnswer: -501.86268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -1 (c) 236 (d) -50 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-4 - -5 - (-2 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 - h**4 + 3*h**4)*(0 + 2*h + 0) - 4*h**5 - 2*h**5 + 5*h**5 + (-29*h + 29*h + 7*h**4)*(h + h + h).\nAnswer: 22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111001011110101 (base 2) to base 5.\nAnswer: 42411414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.954535998 and -6.\nAnswer: -6.954535998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 - 48. Suppose -3*k + 12 = 0, -y - 9 = -4*g - 4*k. Let w(r) = 2 - 3*r + 2 - 2*r + g*r. What is w(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 m when three letters picked without replacement from mmmmfffm.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 326506 divided by -326506\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 83 + 22. Calculate the common denominator of 44\/15 and (-6)\/a - -31*(-6)\/(-504).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16200990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11036.\nAnswer: 2, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - -2. Let a(n) = -609*n + 17804. Let r be a(29). What is the greatest common divisor of r and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**2 + w + 2. Let s be d(-2). Let z = 1397 - 685. List the prime factors of 2\/5 - z\/s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 1462?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 694 divide 1267938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 23. Let n(f) = t*f**2 + f**2 - f - 4*f + 3*f. Let m be n(-2). What is m rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*x = -63*x - 52*x + 3288200. What is the thousands digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 18. Suppose f*x = 4*l + 16, -2*l + l - 4 = -2*x. Suppose d - 1 = -s + 4, x = d - 3*s - 1. Solve -g = -q + 2, -g + 2 - 7 = -d*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:35 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -346*i + 349*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0 - u + 4 - 16 + 8. Let w(f) = -3*f**2. Calculate w(a(h)).\nAnswer: -3*h**2 - 24*h - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 569*i + 17970.\nAnswer: -(i - 30)*(i + 599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 (base 12) in base 8?\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20230 + -20232. Which is the nearest to s? (a) -175 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*r - 326*r - 408*r)*(-3*r**2 + 7*r**2 + 0*r**2).\nAnswer: -2392*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 12 = 11*i. Let k be (-1)\/(i + 4 - -1). Sort 4, -3, k, 2.\nAnswer: -3, k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1833 and 70500?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27665, 110636, 248913, 442490, 691361, 995520, 1354961, 1769678?\n\"Answer: -l**3 + 27659*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13*-17\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.275 - 2.\nAnswer: -3.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1353 and 246.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 16) to base 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82 + 34*k**3 + 35*k**3 - 40*k**2 - 19*k + 33*k**3 + 62*k - 103*k**3.\nAnswer: -(k - 2)*(k + 1)*(k + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2926 (base 11) in base 6?\nAnswer: -25255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - (-13 - -20 - (3 - 12))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 14*s**2 + 3*s - 24. Calculate d(-10).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d**2*n*t + 2*d**2*n + 65*d**2*t + 6*d**2 - 2*n*t with respect to n.\nAnswer: -4*d**2*t + 2*d**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -184, 5, 87 in decreasing order.\nAnswer: 87, 8, 5, 0, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000048022457 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 + 8 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1080)\/165)\/((-159)\/(-2332)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6.8 times -570.9\nAnswer: 3882.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, a: 9, x: 5, v: 1, n: 1}. Give prob of picking 2 o and 2 x.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*6*20\/(-39960)*6*2.\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 + 2*z + 14. Let x be v(6). Let h = -42 - x. Which is the second biggest value? (a) h (b) -2 (c) 1\/42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0 + 18*d + 1\/60*d**4 + 0*d**2 + 0*d**3. Suppose j(i) = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 1, o: 1}. Give prob of sequence oj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -5088 = -5087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4147?\nAnswer: -5\/4147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-15) - 4\/10. Suppose c + 5*h - 2 = p, 5*c + 0*h - h - 62 = 0. Solve -c = -2*x - 0*x + 2*s, -2*s = x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(200) - (sqrt(200) - (sqrt(200) + sqrt(200) + -1))**2) + sqrt(200).\nAnswer: -80*sqrt(2) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 8*z**2 - z + 1. Let x = 14 - 20. Is h(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 708762*l**5 - 679147*l wrt l.\nAnswer: 14175240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 10*h + 270 = 5*q, 0 = -3*q + 5*h + 162. Suppose q*r - 48*r = 120. Calculate the greatest common factor of 85 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*z**6 - 10*z**3 + 145*z**2 - 1.\nAnswer: 2640*z**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1404 and 16129152.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67*v + 130 + 29*v + 10 - 34 wrt v?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 6*l**3 + 1 - 4*l**3 + (2 - 3 + 3)*(8*l**2 - 49*l**3 - 8*l**2).\nAnswer: -96*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 33. Suppose 30 = 2*j - 6. Let r be (j\/(-8))\/(l\/(-32)). Calculate the highest common factor of r and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4663692 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 27, 29, 29, 27?\n\"Answer: -g**2 + 7*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4 - j + 3 + 2 + 3*j. Let r be c(-7). Let h be 20\/130 - (-2602)\/r. What is h rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12921, 21490, 30059, 38628, 47197?\n\"Answer: 8569*q + 4352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 125*n + 236. Calculate the remainder when z(5) is divided by 174.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153108577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, c: 3, d: 4}. Give prob of sequence nddd.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.5, -0.4, -4\/9, -128137?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-58125)\/(-3100)*(135\/25 - 5). Determine l so that -3\/4*l**2 + 1\/4*l**4 - 43\/4*l + 15\/4*l**3 + p = 0.\nAnswer: -15, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6 + 9*f + 2*f**2 - 5*f + 4*f. Let p(u) = 4*u**2 + 16*u + 11. Let h(z) = 11*k(z) - 6*p(z). Let h(s) = 0. What is s?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*l**2 + 2427*l**2 + 224*l**2.\nAnswer: 2908*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 103*w - 5*w**2 + 174*w - 71*w + 8*w**2 - 4*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 times -0.12?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:44 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -82*h**3 - 6*h**2 - 16*h - 86. What is the thousands digit of y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6)\/(s**1\/s))**(-33)*((s\/s**(2\/11))\/s**(-3))**(-5\/9) assuming s is positive.\nAnswer: s**(223\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716282394*b**2 + 6*b**3 + 1432564784*b**2 - 716282390*b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -16*g**2 + 3546*g + 1301. Give q(222).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3424*s + 219053. Give v(-64).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-18) + 204\/(-459))*-12. Sort c, 4, -3, 147 in descending order.\nAnswer: 147, 4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22968)\/154440 + 2\/130?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 1, w: 1}. What is prob of sequence wn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 - 117. Suppose 4*k + 51 - 63 = i. Solve 5*g + k = 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 18*j - 5 - 4 + 5. Suppose -3*x - 20 + 29 = 0. Let l be f(x). What is the greatest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**5 - 392*f**4 + 4300*f**3 - 2560*f**2 - 43536*f - 36288 = 0.\nAnswer: -108, -2, -1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-3\/5)*z))\/(z**(-26)\/z) assuming z is positive.\nAnswer: z**(127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 54 - (0 + -29)) + (-68 - -2).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 56. Let n be (-290)\/(-75) - 6\/b. Let o = 2 + -3. Put n, -3\/2, o in descending order.\nAnswer: n, o, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sijmmyn. What is prob of picking 1 m, 1 i, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 - 245*n + 3029. Give i(13).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 24*u**3 + 4*u**3.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 41 + 100)*(-a - 4*a + 2 - 1 - a + 3*a - 4*a + (1 - 6 + 3)*(-3*a + 3*a + 2*a))*(a - 3*a + a) in the form x + y*a + t*a**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*w - 5. Let v = -3 + -4. Let a be -3 - (3 + (v - -2)). Sort w, a, 0 in decreasing order.\nAnswer: 0, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-10) - -2)\/((-2)\/(-5)). Let o be (-3)\/(-21) + ((-24)\/h - -2). Is 1 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.77485 minus -2?\nAnswer: 3.77485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*9\/((-216)\/(-12))*4*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432142, -432143, -432144?\nAnswer: -432145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -39. What is the remainder when z is divided by (-4)\/(-18)*-1 - (-94)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 735110567?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 6*a**2 - 9*a - 8. Is 13 a factor of l(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16902*-0.01.\nAnswer: 169.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-315*j + 487*j - 318*j)*(-3 + 4 + 0) + 2*j + 3*j - 7*j.\nAnswer: -148*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002552 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2365, 2367, 2373, 2383, 2397, 2415, 2437?\nAnswer: 2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 23338.8414 minutes?\nAnswer: 2.31536125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from lmmmmmmmmmmmmmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/344, -5, 4 in ascending order.\nAnswer: -5, -3\/344, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208 a factor of 39342144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2379 and 4397.\nAnswer: 1046.0463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*d - 32, -5*h - d + 6 = -30. Let o(p) = -p**2 + 6*p + 16. Let y be o(h). Sort -5, 4, 9, y in descending order.\nAnswer: 9, 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -52*i + 36. Let q(r) = -104*r + 71. Let y be 4 + -2*1\/2. Let v(o) = y*q(o) - 7*b(o). Is v(26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2176974 and -26\/3991119?\nAnswer: 23946714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4165783686 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5185970404?\nAnswer: 2, 1296492601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 10.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-602)\/(-378)*-3 - (8\/9)\/4. Sort 193, q, 5, 1.\nAnswer: q, 1, 5, 193","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331035759.\nAnswer: 1331035759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 104 = -4*n. What is the highest common divisor of n and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -272? (a) -4 (b) -5.2 (c) -102 (d) -1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 8*z**2 + 31*z - 236. What is l(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-21)*(-120)\/(-140)*(-364)\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 45222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 - 6) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1297 - -1301. Solve -8*i - d = 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.692 and 0.5.\nAnswer: -2.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:39 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 1. Let a be u(2). Let k(d) = d**3 - 2*d**2 + d - 2. Is k(a) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8170 + -8170. Which is the nearest to 11? (a) 2 (b) r (c) 2\/15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.28 (b) 990 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(1872) + 2 + sqrt(1872))**2 - (sqrt(52)\/sqrt(4) + -5 - -4*(sqrt(91)\/sqrt(7) + sqrt(13) + sqrt(13)))**2.\nAnswer: 226*sqrt(13) + 5270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 163652 and 3?\nAnswer: 490956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18969978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -42. Let v(j) = 1. Let i(b) = -2*b**3 - 3. Calculate g*v(y) - i(y).\nAnswer: 2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4701 (base 9) in base 3?\nAnswer: 11210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = -5*d - 4*a, -3*a + 2*a = -d - 51. Let k = 49 + d. Is (44 + -1)*(k + 2 + 4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (7875\/(-35))\/15*3*-1*1. Solve a = g - 10, -4*a = 62*g - 67*g + f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/11, -3\/7, -211\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-99) + ((-104)\/572)\/((-1)\/(-1434)*4).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**8\/20160 + 13*y**5\/60 - 15*y**2. Let d(h) be the third derivative of w(h). Let j(i) = i. What is d(j(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3434 + -3272. What is the smallest common multiple of 48 and t?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100228?\nAnswer: 2, 25057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1062844774 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1, -2, 4, -1 in descending order.\nAnswer: 23, 4, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 20, 2*h + 0*h - 5*p = 18. Let s(u) = 2*u**2. Let b be s(h). Let z = 79\/66 + 3\/22. Is b greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1057, -1258, -1599, -2086, -2725?\nAnswer: -3522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5022 - 2732. Let p be ((1688\/6)\/4)\/((-1)\/(-42)). Let s = p + y. Round s to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20904 - 20904. Let p(q) be the first derivative of 0*q - 27\/5*q**5 + 0*q**4 + c*q**2 - 4 + 29\/3*q**3. Find the third derivative of p(y) wrt y.\nAnswer: -648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25945 is divided by 187?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 9*h - 5. Let v be (-4 + 2 + 3)*7. Suppose 6*w = -2877 + 3075. What is the remainder when w is divided by p(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 <= 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-2)*((-486)\/(-45) - 10). Suppose 5*t = -v*j + 2154, 2*j - 1087 = -2*t + 1079. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 10. Let p be n(4). Suppose -7*c + 70 = -p. What is the lowest common multiple of c and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 + 2*v - 1. Let l be q(7). Suppose 0 = -s + 2*s - l. Calculate the remainder when (s - 2)*(-4)\/(-10) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 67?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -7*k - 1518. Let a = 360 + k. Is 33 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -52. Let n be -2 + ((-130)\/b)\/((-2)\/37452). Suppose -5*k + 319996 = o, 2*k - 4*o - n = -34274. What is k rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5 = -5*w, 0*w + 18 = 4*w - 2*c. Suppose 3*p = -w*v + 165, -2*p - 288 = -7*p + v. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 4. Let p be (-1)\/(2\/(1*18)). Calculate the remainder when b(p) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 19*d**2 + 34*d + 16. Let m be q(-16). Let g = -189 + m. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.622 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-42.8558.\nAnswer: 128.5674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1672558743 divided by 3\nAnswer: 557519581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*g + 2164 = 0, 3*v + 4*g - 1950 = 254. Solve 0 = v*o - 733*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 760, 639, 82 in descending order.\nAnswer: 760, 639, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011110111101 (base 2) in base 3?\nAnswer: 1202200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3302432423 (base 5) to base 9.\nAnswer: -14276127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 6) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**(3\/5)*h)\/h)\/h**(-1\/6))\/(((h**(1\/6)\/h)\/h*h*h)\/(h**2*h))*((h*h**(-5)\/h*h)\/(h\/(h\/h**(-5))))**(13\/4) assuming h is positive.\nAnswer: h**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11*l - 23. Let w be c(-11). Let f be 3\/(9\/3)*-68. Let u = w + f. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1540)\/25)\/(-173 + -1). Let y = u + 4\/87. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = 0, 0 = -4*t + 5*a + 134 - 19. Let c be ((-10)\/25)\/((-1)\/t). Let z(l) = c*l - 2*l - 7 - 7*l - 2*l. What is z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 155*w + 4221. Let o be g(120). Sort 1, o, -21.\nAnswer: -21, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -39.26. Let g = u + 1.26. Which is smaller: g or 0.07?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14418714*k**2*r**3 + 19*k**2 + k*r - 9182788*r**3 wrt k.\nAnswer: -28837428*r**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635433 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445653 is divided by 129?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124\/215 + 1\/43. Let c = 0.14 - -0.86. What is the closest to -0.2 in -4, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/((-210)\/(-45)))\/(-5). Which is the second biggest value? (a) 59 (b) w (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100417 + 200826 - 6*y - 100428.\nAnswer: -6*y - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1376 and 44\/4429.\nAnswer: 141728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.49577m to centimeters.\nAnswer: 2649.577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9511*g - 19032*g + 10 = -9516*g + 5*i, g - 65*i - 134 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 12 = -6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 382771 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: List the prime factors of 8743864.\nAnswer: 2, 23, 47521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1478, 4845, 10156, 17411?\nAnswer: 26610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1720303102?\nAnswer: 2, 7, 122878793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(3 + 500\/(-166)) is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -21*m - m**4 + 36*m + 0*m**4 - 16*m. Let i(t) = -28*t**4 - 13*t**2 - 4*t. Let c(n) = i(n) - 4*y(n). What is the third derivative of c(z) wrt z?\nAnswer: -576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 divided by -3?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c - 15. Let l be q(-6). Let b(p) = -5*p + 61. Let i be b(11). Suppose i = -6*h - 18. What is the closest to 4 in -3, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 642, 3, 480, -4 in descending order.\nAnswer: 642, 480, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(300) + (-1*sqrt(300))**2*4 + 6*((5 + sqrt(300)*-1 + sqrt(300))*-2)**2.\nAnswer: 20*sqrt(3) + 1798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 2.6. Let b(z) = 9*z**3 - z**2 + 2*z - 1. Let c be b(1). Suppose c*s - 4*s + 10 = 0. What is the smallest value in -3\/7, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 12*g + 12936. Let v be ((-12)\/14)\/(11\/g). Is -72 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7572 + -3?\nAnswer: 7568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 14 = 7*a. Suppose a*j = 4*g + 762, 2*g = -5*j - 3*g + 1950. List the prime factors of j.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 4*x + 3*x)*(-2215*x**2 - 64*x**4 + 2215*x**2).\nAnswer: -704*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -103, -97, -89, -79?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -118705504 divided by 82664\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -10.5, 2001 in descending order.\nAnswer: 2001, 5, 4, -10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 3*z - 3*z)*(3*z - 5*z + 4*z) - 10*z - 13*z**3 + 10*z.\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1799 in decreasing order.\nAnswer: 1, -3, -1799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 35. Let o be (8\/(-12))\/((-2)\/(-15)). Sort 5, o, u in descending order.\nAnswer: 5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2\/9 + 2057536*g\/9 + 264590899456\/9 = 0. What is g?\nAnswer: -257192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 47. Let t = -38 - -23. Let y = t + f. Is y at least as big as 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbwb when four letters picked without replacement from {u: 4, z: 2, b: 4, d: 9, w: 1}?\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 605, 601, 585, 551, 493, 405, 281?\n\"Answer: -n**3 + 3*n + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22523057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19570 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-24)\/(-18) - 8. List the prime factors of 7674\/12 - (-2)\/d.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633690206471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 316*r - 724. Let m be x(11). Calculate the highest common divisor of m and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1680 + 1685. Let a(l) = -2*l - 7. Suppose -3*x - 4 = -x. Let t(m) = -m - 3. What is k*t(p) + x*a(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.17 - 8. Let p = a + -0.16. Let h = -3 - -6. What is the smallest value in 0.1, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from 3409.\nAnswer: 3399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139245, -278516, -417783, -557040, -696281, -835500, -974691, -1113848?\nAnswer: -1252965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 1905*z + 1905*z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j - 166*j + 2005 = 195*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 859, 1288, 1717, 2146?\nAnswer: 2575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*b - 27, 27*b - 31*b + 37 = -3*p. Suppose i + 0*i - 170 = 0. What is the highest common factor of i and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 1215?\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*1*(-693)\/(-77). What is the highest common divisor of 351 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222\/7, -0.124, -0.5.\nAnswer: -0.5, -0.124, 222\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, n: 7, e: 5, f: 4}. Give prob of sequence fn.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:50 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28*3\/(-348)*(-654)\/763\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 7:27 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 1, y: 1, c: 1, o: 1, a: 1}. What is prob of picking 1 l, 1 y, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1300))*3 + ((2 + sqrt(1573) + sqrt(1573))*6 - sqrt(1573) - sqrt(1573))**2.\nAnswer: 2670*sqrt(13) + 157447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j + 39*j = 38. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.901 != 4\/987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -1\/209, 2, 2\/3 in ascending order.\nAnswer: -1\/209, 2\/3, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5745516336 to the power of 1\/2, to the nearest integer?\nAnswer: 75799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/5 - 148761*c**2\/5 - 1843780968*c\/5 + 1844524848 = 0. What is c?\nAnswer: -24796, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -9*j. Solve 0*c + 2*c + 2*m = j, m = -3*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9\/(-6))\/((-7)\/434)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -106*w**2 + 72*w - 4. Suppose -42*l + 12 = -39*l. Let q(u) = 1. Let c(h) = l*q(h) + k(h). What is the second derivative of c(j) wrt j?\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -4 - (1 + 5) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 3*t + 15, 3*t - 6 = -3*u + 3. Suppose 5*s = 2*s - u. Let c = s + 2. Solve -22 = 4*v + 3*h - 5, -v + 4*h + 10 = c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t - 27*t = 51 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7097, -26260, -57481, -100760?\nAnswer: -156097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1)*2\/12. Suppose 5*b - 10 = -4*y - 4, 2*b = 4*y + 8. Let k be -3 - ((-22)\/3)\/b. What is the second biggest value in k, 1, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d - 4*g - 8 = 0, 0 = 4*d - 5*g - 13. Let s(r) = 3*r + r**3 + 2*r**2 - 6 + 5*r**d + 0*r. What are the prime factors of s(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3094420, -3094413, -3094406?\nAnswer: -3094399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*q**3 + 86*q**3 + 73*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 - 4*g. Let y(h) = -3*h + 0*h + 153 - 153 + 5*h**2. Determine -3*v(r) + 4*y(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((8\/20)\/(-1)). Let b be 0 + 1 - q\/4. Let i(p) = p**2 - 3*p. Let o be i(2). What is the second biggest value in -0.2, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h**3 + 4*h - 12062*h**2 + 3*h**3 - 13*h**3 + 6 + 4*h**3 + 12070*h**2. Calculate f(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 3. Let v be d(7). Suppose 4*s - 20 = 3*y, -2*s + 2*y = -y - v. Suppose s*i - 4 = i. Let h(z) = 7*z**2 - 1. Give h(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihn when three letters picked without replacement from {v: 1, i: 6, n: 3, h: 8, u: 1}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 11 + -35 + 68\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414814909 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75606462 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:57 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2 - 3*o**2 + o**3 - 2*o**3 + 0*o**2. Let p be a(-3). Solve -p*n + k = 5*k - 4, -n = -2*k - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4595 or -4417?\nAnswer: -4417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Let w(s) = 9*s**2 + 8*s**2 + 4*s**2 - 8*s**2. Calculate w(u(o)).\nAnswer: 52*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -17*f**3\/6 - 5*f**2 + 58*f + 1. Let u be n(-1). Let k(r) = 4 - 3*r - 6*r**2 + 1 + 4*r**3 - 3*r**3 - 3*r. Calculate k(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 14 + 10 = 0. Suppose -c + s = -r, 4*c - 5*s = 2*c + 15. Find the third derivative of 4*l**2 - c*l**5 - 7*l**5 + 7*l**5 - l**5 wrt l.\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 at least -284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3 - -1)*6. Let c(s) = -2*s**2 + 27*s - 15. Let o(i) = i**2 - 14*i + 8. Let w(k) = 6*c(k) + 11*o(k). What is the tens digit of w(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -12) + (7 + (-7 - 6) - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 17*j = -750. Calculate the least common multiple of 8 and j.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 8*t**2 + 4*t. What is the hundreds digit of w(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(176) - (-1 + sqrt(176))) - sqrt(176)) + sqrt(176))**2 + sqrt(176) + -1*(sqrt(176) + -1 + sqrt(176)).\nAnswer: -4*sqrt(11) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 + 13*z + 5 - z**3 + 12*z - 15*z. Does 25 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.631 less than 0?\nAnswer: 0.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*l - 6 = l, -5*l = -4*x - 18. Let n = 13 - 17. Let m be x\/(-3 + (-10)\/n). Solve -y = -m*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 115.6. Let i = q - -3.8. Let g = 13 - i. What is the biggest value in 2, g, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96840*x**5 - 386*x**4 + 774*x - 59861.\nAnswer: -1936800*x**3 - 4632*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(sqrt(17) - sqrt(1088)*-1).\nAnswer: 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1)*(-2)\/(-10). Let v = 5842 - 5842. What is the closest to v in 0.5, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1 + 2 + 2). Calculate the lowest common multiple of 2\/(-3)*(-27)\/6 and 2 + -4 - -1*y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f + 1. Give s(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + 32233?\nAnswer: 32211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s - 4*o + 24, 0 = -s + 3*o + 7. What is the smallest common multiple of 15 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2414 + -104?\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77301, -75158, -73015, -70872?\n\"Answer: 2143*u - 79444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 22. Let j be (3 + -5)*81\/(-6) + q. Is (1\/2)\/(0 + 1\/j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -99 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**3 + 2788070*q**2 + 5576080*q - 22304480 = 0.\nAnswer: -557612, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 114113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641779.2kg to milligrams.\nAnswer: 641779200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4301223 (base 10) to base 8.\nAnswer: -20320647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 55. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*u - a + 2185816, -a - 1639350 = 3*u. Let c be 16\/4 - (u + -2). Suppose -c + 186457 = -2*f. Round f to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*g + 3*j, -2*g + 5*j + 15 = -0. Let u(k) = 18*k**2. Calculate the remainder when u(-1) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 8*y = -l + 3*l - 4*y, 368*l + y - 4 = 367*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -4*t**2 + 1\/12*t**4 + 0*t + 0 + 2\/3*t**3. Give z(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*q - 15 = 0, -20 = 455*v - 453*v + 4*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30891, -28851, -26809, -24765?\n\"Answer: q**2 + 2037*q - 32929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**6\/5 - k**4\/2 - 2*k. What is the third derivative of m(h) wrt h?\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 978 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 + -147. Let k be 27 - c\/(24\/9). Solve 0 = 3*s + 3*g + k - 6, -4*s - g = 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -132446633*v - 137664456 wrt v?\nAnswer: -132446633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*p = -4*r + 6, 9 = 3*p. Let l(c) = -c**3 - 3*c**2 - 2*c - 7. Let k be l(-2). Put 1, k, r in ascending order.\nAnswer: k, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 4:29 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 12\/(-20) - (-26)\/40.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {i: 1, v: 1, y: 1, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x*x*x**(1\/33))))**(-49)*x*x**34*x\/(x*x**(-2\/7)))**(1\/8) assuming x is positive.\nAnswer: x**(-3511\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:28 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {y: 2, j: 4, m: 2, t: 1, d: 4, i: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 938555833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -m + 3*i - 76 + 44, 0 = -3*m + 6*i + 45 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 4. Calculate p(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + -12 + 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 32*c + 2598. Let w be l(-81). Let v(r) = r**3 - 6*r**2 + 3. Let k be v(6). Suppose 5*b - 62 = k. Solve -4*g - b = w*x - x, -2*x - 4 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 190266?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35141029 - -35141072.999981. Let t = m - 44. What is t rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5581 (b) 2\/5 (c) 3\/4 (d) -1\/176 (e) -2 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 6, 70, -142 in decreasing order.\nAnswer: 70, 6, 1, -1, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6897 + 7075. What is the highest common factor of 3827 and h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from ibii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -494, -497, -502, -509?\n\"Answer: -l**2 - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3359168 and 373880.\nAnswer: 218345920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25.83 and 1.79832347.\nAnswer: 27.62832347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 10 = r. Let n(d) be the second derivative of 0 - 2*d - 1\/35*d**5 + 1\/147*d**7 + 1\/7*d**r + 1\/105*d**6 - 1\/21*d**4 + 1\/21*d**3. Factor n(y).\nAnswer: 2*(y - 1)**2*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:15 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.1. Let v = 0.071 + -3.071. What is the nearest to -0.2 in v, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from ryrrryhyhyyyryyyrr?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57409 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, 28, 91, 180?\n\"Answer: 13*u**2 - 2*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 61 = -45. Suppose 0 = -h - 5 + 2. Do h and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:59 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i + 6. Let u be -2*1 + (i - 4). What is the nearest to 0 in u, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qiqiqiiiiiiqiq.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:04 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 3, -9.\nAnswer: -9, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/14214 and 18\/949969?\nAnswer: 5699814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 4*v**2 + 5*v + 7. Let k be o(5). Suppose -12*c + k*c = -420. Suppose 2*g + u - c = -u, u = 5*g - 198. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**2 - 7*r - 5. Let c be v(-4). Let z = -104 - c. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + l**3 - 799 + 799.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(2 + 3)*0. What is the nearest to -0.5 in 2, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 4*u**2 + u**2 - u**2 + 32 + 3 in the form w*u**2 + v*u + y and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**2 - 1\/20*x**5 + 0 + 1\/3*x**3 + 1\/6*x**4 + 7*x. Determine b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149 and 702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -10*m - 56. Let s be c(-6). Solve 4*v - s*o + 8 = 0, 5*v - 2*o + 3 = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005437551 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 10*w**2 - 88*w - 126. Let t be c(16). Factor 0*g + g**t - 1\/2*g**3 + 0 - 1\/2*g**4.\nAnswer: -g**2*(g - 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1950)\/5)\/(6\/1420). Round t to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/4949 or 1?\nAnswer: -8\/4949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348 is divided by 193?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9.6. Let m = w - 0.600007. What is m rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(320) + (sqrt(320) + 2)*-1 - sqrt(320)) + (sqrt(320) - (sqrt(320) - (-5 + sqrt(320)*-2))) + 2)*1*5*-4)**2.\nAnswer: 96960*sqrt(5) + 1162201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000820596 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4726483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312263 and 977.\nAnswer: 305080951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227472608?\nAnswer: 2, 11, 53, 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yysygsqmqqhqys. Give prob of sequence yygq.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, z: 2, j: 3, y: 5}. What is prob of sequence yojz?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 124\/8361045 and 4\/665?\nAnswer: 8361045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574381 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*t + 266 = 295, d + 3*t = -12 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23006.2044 rounded to the nearest one hundred?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208572 or 208571?\nAnswer: 208571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:24 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-10) + (-1794)\/(-315) + (-41 - -36). What is d in 4\/21*d**2 - 2\/21 + s*d = 0?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 + 2*z + 5. Let g be x(3). Suppose 60 = 5*r - 380. What is the highest common divisor of g and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -463 (b) -3 (c) -1\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1644 and 29?\nAnswer: 47676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1493*s - 16509. Calculate m(-12).\nAnswer: 1407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.11659 (b) 9 (c) -3\/7 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.229 times -2\nAnswer: 0.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5 - 303499\/5. What is v rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132939314.\nAnswer: 2, 19, 3498403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*j + 5*x + 58, 22 = 3*j - 5*x. Suppose -2*r - 5*r + 140 = 0. Let v = r - j. What is the smallest common multiple of v and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-36))\/((-1)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1047 or 15\/8?\nAnswer: -1047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.021 - -1.021. What is the closest to 0.1 in s, 0.1, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1076819*o**2. Let v(t) = -t**2 - 33. Give v(w(f)).\nAnswer: -1159539158761*f**4 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2339 + -2338.9. What is the closest to -1\/202 in -2\/13, 2\/9, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 + 262. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 72449*k + 6.\nAnswer: 72449*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 254 (base 7) to base 6\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000689 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 52 + 27 - x + 16)*(-9*x**2 - 27*x**2 - 3*x**2).\nAnswer: 39*x**3 - 429*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at most -2\/1147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -33, 1\/4, 0.2, -3 in ascending order.\nAnswer: -33, -3, -0.4, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**3\/3 + 1. Let z(v) = -68 + 68 - v. Calculate z(i(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l + 2. Suppose -4*q + 22 = 2. Suppose 4*x - 2*x = 5*a + 7, -2*x = q*a + 3. Calculate the remainder when 14 is divided by j(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3239 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14151.5 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -753.7, 1\/4 in decreasing order.\nAnswer: 1\/4, -2\/13, -753.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*x + 8 = 0, 3*x - 15 - 4 = -5*k. Suppose k = 5*u - 3*u. Suppose 0*c = -5*c + 10. Put 3, u, c in decreasing order.\nAnswer: 3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/48 - w**3\/4 - 39*w. Factor s(y).\nAnswer: y*(y - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 1. Let z be (132\/1)\/((-6)\/4). Let y = -84 - z. Suppose 2*d = 3*d - 2*p - 1, -y*d - p + 22 = 0. Let s(i) = 5*i + 2. Determine d*s(b) - 8*u(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -368278 * -726.\nAnswer: 267369828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 - 53294*t\/9 - 496888\/9.\nAnswer: -2*(t + 8873)*(3*t + 28)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 - -2.2. Let k = 7.9999781 - m. What is k rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56152248 minus 5?\nAnswer: -56152253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-60))\/((-846)\/(-29328) + (-2)\/13).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Suppose -6*r - 18 = -0*r. Let u be ((-2)\/3)\/((-4)\/12). What is the smallest value in u, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3197098?\nAnswer: 2, 41, 127, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3103 and 0.35?\nAnswer: -1086.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6 + 1201)\/71 - (-178)\/(-5))\/((-2)\/10).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 1, 0, 4 in decreasing order.\nAnswer: 4, 1, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13235 - 13239. Let f = -2 + 1.9. Which is the nearest to 2? (a) 0 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14103366 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.44 + 6.8. Let c = m + 116.64. Let g = 115.9 - c. Sort g, -6, -5.\nAnswer: -6, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6102925 and 7251?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 22*s - 1. Let g(j) = j. What is 6*g(x) + h(x)?\nAnswer: 28*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 36 + 6666*m - 6672*m - 500.\nAnswer: -6*m - 481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14136 and 11676?\nAnswer: 13754328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6384848 years to millennia.\nAnswer: 0.0006384848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o + 0*o - 2*o)*(o - o**2 - o) - 2*o**3 - 2*o**3 + o**3 + 0 - 8 + 7 + 11*o**3.\nAnswer: 2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -616*u + 4296. Determine p(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6.1 times -6.336\nAnswer: 38.6496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/13, 5, -5 in ascending order.\nAnswer: -5, -2\/13, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 - 0 - 1083\/(-399).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 12 + 7 + -6 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + v + 8. Let h be (-11 + 4 - -4)\/(-1). Let d be m(h). Suppose -l - d = -2*l. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/4))**(-8\/9)\/((h**5\/h)\/(h**(-2\/5)\/h)) assuming h is positive.\nAnswer: h**(-293\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 14*u**2 - 26*u + 31. What are the prime factors of c(7)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -30*t - 1. Let r(f) = -136*f. Let n(z) = -14*z. Let s(w) = 12*n(w) - r(w). Give s(a(q)).\nAnswer: 960*q + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/5 (b) 6\/5 (c) 11\/8 (d) 306\/5 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2. Let g(x) = -67*x. Determine w(g(v)).\nAnswer: -4489*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32\/5 of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - (-14 - 0) - (2 - (1 - 14))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-1 - (-10)\/4). Suppose -c*s + 64 = -0*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(3*sqrt(3)))**2 + 2 + 2*sqrt(3).\nAnswer: 7\/3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2506)\/(-6444))\/(7\/(-3))*(-5)\/(-8)*2?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(228)*2*3)\/(sqrt(108)*2 + (sqrt(1728) - (sqrt(1728) - (sqrt(1728) - -1*sqrt(1728) - sqrt(1728)))))*-1)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -8\/5, 3, 15?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**2 + 5*x + 4. Let g be k(-5). Let u = 2939\/15 + g. Is 1 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.06.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-33)*d**31*d*d\/(d*(d*d**(-2\/11))\/d)*d**(-1\/6) assuming d is positive.\nAnswer: d**(-65\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -273*m**2 - 296*m**2 + 176*m - 192 + 827*m**2 - 290*m**2 - 4*m**3.\nAnswer: -4*(m - 2)**2*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-5))\/((-2)\/10). Let p be 3 + o + (1 - 0). What is the highest common factor of 10 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -499*w - 4*w**3 - 510*w + 1091*w + (3*w - w - 3*w)*(1 - 1 - 2*w**2) to the form g*w**2 + t*w**3 + a + b*w and give b.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0 - 2*g + 0. Let l(u) = 4*u - 7*u - 5*u + 0*u. Give c(l(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*((3*sqrt(48)\/sqrt(4))**2 + -4).\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/5, -2, -8898 in decreasing order.\nAnswer: 1, 2\/5, -2, -8898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 663*k**4 - 1312 wrt k.\nAnswer: 2652*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2 - 37*s + 48. Calculate g(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 672893849 to the nearest integer?\nAnswer: 25940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2782227 by -48811.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + 3*a**4 + a**4)*(719*a + 63*a - 136*a) + a**5 + 2*a**5 - 4*a**5.\nAnswer: 1291*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 - -354. Calculate the highest common factor of 280 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54\/(-4)*20\/(-3). Let x be 4\/(-18) + 85619\/a. Let w = -950 + x. Calculate the common denominator of w and -21\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 130. Let o = -36 - y. Suppose -5*r + o = -r. Calculate the remainder when 12 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 11. Let i(f) = 3*f + 10. Let r(l) = 2*l + 5. Let z(w) = -6*i(w) + 11*r(w). Determine z(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9961800 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**4\/12 + r**3\/9 - r**2\/3 + 12. Factor p(n).\nAnswer: n*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n + 3. Let s be o(3). Suppose -2*b + 32 = 2*b. Is b greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9333363 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -34\/141?\nAnswer: -34\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l**0)**47)**23)**(-17))**(-3\/23) assuming l is positive.\nAnswer: l**4794","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 346 = -250 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271 - -533. Which is bigger: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1033.8 - 1033.8. What is the third biggest value in -0.26, x, 11?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -286*u + 6. Let p(h) = -561*h + 11. Give 5*i(x) - 3*p(x).\nAnswer: 253*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1570*c**4*d - 164*c**3*d**2 + 807*c*d**2 - 12*c*d - d**2 + 4*d - 2 wrt c.\nAnswer: 18840*c**2*d - 984*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-39) - 102\/(-13). Suppose 5*h + y - 28 = 0. Solve -3*j + h = -5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -19952*n**3\/3 + n**2 - 2*n. Let b be i(-6). Let k = b + -639426. What is k rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 21*o - 35. Let p(t) = -4*t + 9. Let q(d) = -2*f(d) - 9*p(d). Let r(x) = x. Calculate q(y) + 4*r(y).\nAnswer: -2*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110234443 (base 5) to base 7.\nAnswer: -26442236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 100001?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 57*n**2 - 2*n + 3. Is c(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.114, -1, 9, 4, -0.4, 3\/506?\nAnswer: 3\/506","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 2*g - 2. Let k(z) = -9*z**2 + 3*z + 3. Let w(j) = 7*h(j) + 4*k(j). Let c be 14 - (-8 + 1 + 26). Calculate w(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 14*q**2 - 11*q - 57. Let c(z) = -5*z**2 + 4*z + 19. Give 4*b(d) + 11*c(d).\nAnswer: d**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:31 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -127234, -254374, -381516, -508660, -635806?\n\"Answer: -q**2 - 127137*q - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2925 + 46?\nAnswer: -28bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/26 + 15\/52. Let z be 16 + -4*(1 - 2). Let i = z + -22. Which is the third biggest value? (a) -1.4 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5\/9 - 5458*k**4 + 50519320*k**3\/3 - 4588666700*k**2\/9 + 12006837500*k\/3 - 1875781250 = 0.\nAnswer: 1\/2, 15, 6125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 6. Let g be (-1 + n)*(-15)\/(-2). Suppose -5*s + 28 + g = 4*c, -3*c - 5*s = -31. Calculate the highest common factor of 96 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28161*j**3*p**3*q**3 - 23*j**3*p - j**3 + 152*j*p**3*q**3 + 5189*j*p**3*q - j*q**2 wrt q.\nAnswer: -168966*j**3*p**3 + 912*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6861 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/7)\/p)\/p**(2\/13))**(-2\/87) assuming p is positive.\nAnswer: p**(106\/7917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 588498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 11*q + 3. What is o(-5)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-11) + (3 + 262 - 2). Let n be (-1 - 44)\/(21\/42). Let k = n + 143. Calculate the greatest common factor of a and k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 divided by -200?\nAnswer: -41\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2957595?\nAnswer: 3, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - -3) + (3 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*j + 92, -5*j + 3*i - 4*i = -127. Suppose -5*q + 2*g + j = 0, 0 = -q - 2*g - 2 - 0. Solve -a - 4 = -d, -2*a - q*d + 8 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59366 and 4.\nAnswer: 237464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7409, 12806, 18203, 23600?\n\"Answer: 5397*i + 2012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 222, -0.07 in decreasing order.\nAnswer: 222, -0.07, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 9347.\nAnswer: -7\/9347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1300)\/5850)\/((-16)\/(-15))*(-6)\/(-20)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 1:48 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 2207.\nAnswer: 5\/2207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-6)\/7)\/((-12)\/112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -4 (c) -199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -8. Suppose -a - 36 = -t*a. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/5)*v**(3\/8)\/v*v*v**(-2)\/(v**(1\/6)\/v) assuming v is positive.\nAnswer: v**(-71\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*x**5 - 15404*x**4 + 2626360*x**3 + 130921904*x**2 + 1397893728*x - 284836608 = 0. Calculate x.\nAnswer: -24, -18, 1\/5, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10)*(-15)\/40. Let t be 104\/160 - 12\/20. Let i = t + n. Which is the second biggest value? (a) 1\/4 (b) 18 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t - 2*k = -79*t + 16, 0 = 3*t + 4*k + 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 77.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1500876713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 + 8)*(-3*o**2 + 2 - 1 + 5*o**2)*(-1 + 5 - 1).\nAnswer: 102*o**2 + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*m + 260 = 45*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1620*b - 127 = 1106*b + 985*b - 1069 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 717*-138.4\nAnswer: -99232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3750 and 85650.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47247.\nAnswer: 3, 15749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 128346*g**2 + 18945924*g - 700391352.\nAnswer: 3*(g - 42634)*(g - 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 7. Let a be j(-6). Suppose 8 + 41 = 3*g - 5*z, 0 = a*g + 2*z - 30. What is the remainder when 29 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -23*h**7\/42 - 10*h**6\/3 + h**4\/3 + h**3\/3 - 83*h**2 + 4*h - 126. Find the third derivative of o(b) wrt b.\nAnswer: -1380*b**2 - 2400*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579390845.\nAnswer: 5, 11, 19, 571, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**7\/1680 - b**6\/480 - b**5\/480 + b**4\/96 - 4*b**2 - 1. Determine g, given that x(g) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**3 - 1 + 10 - 2*t**3 - 34*t**2 + 4*t**3 - 8 + t**4 to the form u + o*t**4 + z*t + i*t**3 + l*t**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7969 = 5*o - 11441. Suppose -9*d = -o - 4416. What are the prime factors of d?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -1\/4*w**4 - 1 + 5\/3*w**3 - 3*w - 3\/2*w**2. Determine a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-8))\/(16\/(-256)). Let i be (-2)\/((-88)\/(-76)) - (-8)\/z. Do i and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -87 - -2c?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2 + 6*s**2 - 16*s + 5*s**2 + 5*s. Let p(u) = 3*u**2 - 5*u. Let l(r) = -4*n(r) + 9*p(r). Factor l(f).\nAnswer: -f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 3. Let w be q(-2). Let v(r) = 3*r**3 + 94 - 93 + 2*r**3 + 0*r**3. Let t be v(w). Solve -n + 2*a = -0*a - 2, t = 2*n - 5*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/3 - 16\/(-12). What is the nearest to -2 in 1\/7, -6\/13, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.95354016 rounded to one dp?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10123, -21209, -33269, -46303, -60311?\nAnswer: -75293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 28. Let p be d(11). Let b(w) = -w - 6. Let k(n) = n + 7. Determine p*k(s) + 6*b(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 6 - 3*n + 4)*(0*n + 4*n - 3*n) + 4*n**2 - 3*n**2 + 0*n**2.\nAnswer: 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1021, -2041, -3061, -4081, -5101, -6121?\n\"Answer: -1020*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 55*w**2 + 170*w + 3. What is the remainder when t(-7) is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1471 times -60.3\nAnswer: 88701.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108661339 or 108661341?\nAnswer: 108661341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, u: 7}. Give prob of sequence xx.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6*0\/(-1). Let g = w - -2. What is the third derivative of -2*f**3 - 2 + 2*f**2 + g wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 783\/6*245\/630*(-2)\/(-7).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(2\/(-6)*(10 + -13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83083125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -10*a**3 - 316*a**2 - 2072*a + 880 = 0.\nAnswer: -22, -10, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11205171 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5322*l - 774*l - 1833*l.\nAnswer: -7929*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6))\/((-3)\/30). Suppose 0 = -5*s + 7*s - 22. Solve 17 = 5*u - 2*o, -4*u = -2*u - y*o - s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 2989?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b77 (base 15) in base 7?\nAnswer: -23245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732.1138 hours to milliseconds.\nAnswer: 2635609680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7087975967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 468 = -3*i, i - 625 = -3*i - 5*w. Suppose -9*x + 7*x = -i. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 72*q - 2. Determine y(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5944040 to the nearest 10000.\nAnswer: -5940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062676 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 9*h**6\/2 - 2*h**5 - 3*h**4\/4 + 16*h**3\/3 + 106*h - 161. Find the third derivative of c(z) wrt z.\nAnswer: 1620*z**2 - 240*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 1. Let l be t(-1). Suppose l = r - 15 - 0. Suppose -3*n + 0*n = -r. What is the greatest common factor of n and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.026, 0.4, -12\/7, -321 in decreasing order.\nAnswer: 0.4, 0.026, -12\/7, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 237001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -1\/3, -3 in increasing order.\nAnswer: -3, -1.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24104674 (base 8) in base 16?\nAnswer: 5089bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2180)\/(8\/(-10) - -1). What is f rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 207, 402, 599, 798, 999, 1202?\n\"Answer: h**2 + 192*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -9*h + 38 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:52 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.89946mg to tonnes.\nAnswer: 0.00000004389946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*i - 23*i = -5*i - 832 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188321?\nAnswer: 7, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1775*i - 5403. Determine u(-3).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 59. Determine o(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.33 - 0.33. What is the second biggest value in i, -3, 10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3765259.\nAnswer: 691, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-138)\/(-8))\/((-180)\/240). Suppose 57 - 149 = 4*i. Does i = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16604 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -71\/5238, 3 in descending order.\nAnswer: 3, 4\/9, -71\/5238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f**9*f)\/f)\/(f\/(f**(-31)*f)*f*f) assuming f is positive.\nAnswer: f**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + j = 15, -3*z + 3*j + 25 = 2*j. Suppose -3*d - 2*b + 6 = 0, -2*d - 2*b = -6*d + z. Solve -d*f = 3 + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577788 + 577788 + 70*z**2.\nAnswer: 70*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*k + 456*k = 434. Suppose i - 300 = -4*i. Are k and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122841538*x**3 - 60194443.\nAnswer: 368524614*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i - 406 = -5*v - 28*i, 0 = -4*v + 5*i + 330. Solve -60*b - v = 160 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 3*q**4 + 0*q**4 + (-6*q + 40*q + 25*q)*(q**3 - 3*q**3 + 4*q**3) + 4*q - 2*q**4 - 4*q.\nAnswer: 118*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 3*j - 3*j)*(-10*j - 4*j - 9*j)*((-1 + 5 - 2)*(2 + 2 - 3) + (-12 + 2 - 14)*(-4 + 0 + 0)).\nAnswer: -2254*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -111. Solve 3*y - 7*y - 16 = c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 - -8 - (-52 + 1). Let q = w + -3. Calculate the remainder when q is divided by 2\/(-6) - 49\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.606 - 4.864. Let t = d + 3.47. Let c = -1.1 - -0.4. Sort -1, 3, c, t in descending order.\nAnswer: 3, c, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -48. Let l = 9 + -36. Let j = l - o. Which is the third biggest value? (a) 0 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -76. Suppose 0 = 3*r + g - 10, 0 = -4*g + b. Suppose 0*f - r*f = 0. Solve p - 1 = -f*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 21*x + 17 = 0. Let w(n) = 12*n**2 - n. What is w(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 149, 297, 445, 593, 741?\n\"Answer: 148*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - f**2 - f - 9. Give q(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45 and 0.183?\nAnswer: -8.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**5 + 1008*b**4 - 81300*b**3 + 2186600*b**2 - 4056000*b = 0.\nAnswer: 0, 2, 65, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/3))**(-2\/7)*j**(-1\/4)*j**1 assuming j is positive.\nAnswer: j**(31\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + sqrt(1900) - sqrt(1900))**2 - sqrt(1900)) + -1.\nAnswer: -10*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f - 56*f = -393372. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00573 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4134 and 3165266?\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2290 divided by 9?\nAnswer: 2290\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 21122?\nAnswer: 21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5*(-7 - -2). Suppose -7*f + s = -6*f. What is the third derivative of 2*u - 2*u**3 - 2*u**2 - f*u wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/3 (b) -0.2 (c) 58\/9 (d) 3.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/22)\/((-158515)\/(-3773) - 42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575100 and 1700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 31*s - 233. Calculate y(-11).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 - 63 = -359*y + 343*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -35*q + 1510. Let c be s(20). Calculate the greatest common divisor of c and 10260.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1447*o**3 + 3302*o**2 + 2 wrt o.\nAnswer: -8682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.7 + 16. Which is the smallest value? (a) -2\/3 (b) -5\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237550 times 3?\nAnswer: 712650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785*x + 18206 = 3*n + 780*x, -4*n - 5*x = -24368. List the prime factors of n.\nAnswer: 2, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {y: 2, j: 1, x: 4, a: 2, n: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 z, 1 u, and 1 j when four letters picked without replacement from {s: 3, y: 1, z: 5, b: 1, j: 2, u: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -2.27, 0.1, 5, 3 in descending order.\nAnswer: 5, 3, 1, 0.1, 0, -2.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*l = 101, 4*n - 4*l - 163 = -15. Is 28 a factor of (-4)\/(-2)*n\/15*42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4659840 divided by -51776.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -1337.878?\nAnswer: 535.1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = t - 3, -30997*q + 30987*q - 2*t = 58 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k - 1. Let r = 40 + -38. Suppose 0 = -5*a + z + 3*z, 0 = r*a - 3*z. Let n be p(a). Which is bigger: 33 or n?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7752a (base 14) to base 15\nAnswer: -5aa0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12819804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -187 + -993857?\nAnswer: -994044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -522 + 25?\nAnswer: -4db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/9344 and 15\/190208?\nAnswer: 13885184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 20, -3, 9, 3, -2 in descending order.\nAnswer: 20, 9, 3, -2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 11 = -45. Let h be (-4)\/(((-28)\/(-64))\/f). Is (h - -3)\/(1\/11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(3 - 2*j**5 - 3) + j - j + j**5 + (4*j**2 - 4*j**2 + j**2)*(16*j**3 + 2*j**3 - j**3).\nAnswer: 20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*y + 38503655 - 38492210 for y.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 448\/1135?\nAnswer: 448\/1135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/11 (b) 0.7 (c) -84\/13 (d) -1 (e) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Suppose 2*b + 8 + 8 = c. Let d = b - -8. Which is greater: d or -3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002244866 rounded to 6 dps?\nAnswer: 0.000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 - 40. Find the first derivative of 12*s - b*s + 9 - 9*s**2 - 3*s wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 63*z + 2 + 51*z to the form h*z + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 4*r. Let j = -11 - -11. Suppose y + 5*h = -4 - 16, j = y - 2*h - 1. Determine o(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 + -10 + -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-422 + 428 - (36 + (2 - 4)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 296*f**3*j**3*q**2 - 2*f**3*j**2*q**2 - 2*f**2*j**2 + 37*f*j**3*q**2 + f*j**2 - 3317*f*j*q**2 wrt j.\nAnswer: 1776*f**3*q**2 + 222*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*4\/320*4*-4. Let t be 2 - (0 - (-16)\/6). Which is the biggest value? (a) y (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -450143079 and -814.\nAnswer: -450143893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (6 - 30\/6). Suppose x*n + 14 = -2*s + 34, 40 = 4*s - 3*n. What is the greatest common divisor of s and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2)\/17) + (-7)\/14. Suppose -3*i + s*i = 365. List the prime factors of i.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7*l\/((l*l*l\/(l**(1\/2)*l*l*l*l*l*l))\/l))**(-3))**(-17\/4) assuming l is positive.\nAnswer: l**(1275\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245305 - -155433?\nAnswer: -45432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -9*p + 4*t - 8, -2*p = -5*t + 11. Solve -2*o + 6*o - 5*r = 14, p*o = 4*r + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/7 - 6082*m**3\/7 + 358462*m**2\/7 - 315986*m = 0.\nAnswer: 0, 7, 53, 2981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2805 + 4805. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12141000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l = -20. Let o = 72 - 107. Let j = o + 39. Solve -l*b - 2*g = g, 32 = j*b - 5*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-165)\/6 + -1)\/((-210)\/(-20) - 11). Sort -4, -16, f in decreasing order.\nAnswer: f, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Solve -18 = 4*x + 2*l, 3*l - t*l = 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -706*l + 0 + 22 - 9 - 13 to j + y*l and give y.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.767939um to kilometers.\nAnswer: 0.000000009767939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 418, 826, 1370, 2050, 2866?\nAnswer: 3818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 6 + 4)*(-1 - 5*m - m + 2*m + (m - 3 + 3)*(0 - 2 + 0)).\nAnswer: 66*m + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**3\/6 + h - 2. Let d(g) be the first derivative of v(g). Let x be -5*24\/(-100)*-5. Give d(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8661408 (base 11) in base 12?\nAnswer: -5124927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09733 - 269.90267. Put 0, -0.3, 1, p in increasing order.\nAnswer: p, -0.3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1659*h**6 + 121*h**2 wrt h?\nAnswer: -199080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Suppose n*i = t - 8, -4*i = -5*t - 0*i + 58. What is the remainder when 27 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -617058 = -15*a - 109938. Suppose -k = o - 6758, 5*k - a = 40*o - 39*o. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-29)*t)\/(t**(-20)\/t))\/(t\/(t*t**(31\/2)*t)*t*(((t\/(t*t**5))\/t)\/t)\/t))**(-3\/2) assuming t is positive.\nAnswer: t**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*v)\/(v**(1\/4)*v))\/(v\/v**(-1\/3))**(-50) assuming v is positive.\nAnswer: v**(821\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-30) + 1\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2274?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023167 is divided by 2734.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 15 = 21. Sort w, -1, 0, -2 in descending order.\nAnswer: w, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0 + 24 = 0. Solve 2 - h = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 63. Which is the second smallest value? (a) t (b) 7 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651814 is divided by 26065?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2679*m**2 + 17 + 2677*m**2 - 4 - 2*m**2 - 2*m**2 + 2*m**2 + (1 - 1 - 2*m)*(-2 + 2 + 2*m) to the form w + c*m + l*m**2 and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1386266.\nAnswer: -3\/1386266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 865 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(70\/(-2))*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-2 - 4 + 4)*(-3*x**2 + 4*x**2 + x**2) - 183*x**2 - 166*x**2 - 8*x**2.\nAnswer: -365*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-68))\/((-4)\/(64\/(-12))). What is the third smallest value in z, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.3 - 26.0276. Let x = h + -0.3. Let t = x - -0.047. Round t to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-40)\/(-12))\/5 + 70\/(-15). Is d - (-54)\/(-4)*(-1265 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, w: 1}. Give prob of picking 1 w and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1463?\nAnswer: -1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 558 = -10*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 50*p + 111. Let j(k) = 5*k + 17*k + 40*k - 12*k + 110. Let w(h) = 6*j(h) - 5*z(h). Find g such that w(g) = 0.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38016 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.8 - -11. Let t = z - 0.20048. Round t to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, -0.052, -5, -32, 0.02, 12?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 - 2111?\nAnswer: -2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4309 = 689*u - 2581 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 2\/21 (b) 3\/2 (c) -2\/13 (d) -2\/9 (e) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 10*t**2 - 12*t - 13. Let a be h(-9). Suppose 5*i = -10, a*i - 13*i - 259 = -3*q. What is the remainder when q is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52.8 and -20.1796.\nAnswer: -1065.48288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 31 - 153*k - 20 - 36 - 69. What is the hundreds digit of l(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.58464888 to three dps.\nAnswer: 0.585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(4\/4))\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 870*a**3*z**4 + 2*a**3 + 10*a**2*z**2 + a**2 - 2*a*z**2 + 275*a*z - 983*z**4 - 6*z**3 - 7 wrt z.\nAnswer: 20880*a**3*z - 23592*z - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6))\/(8\/(-208)). Let c = -11 - k. Solve 3*p - c*n - 8 = 3*n, -2*n - 5 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/(-152)*12\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 150698358100 to the nearest one million.\nAnswer: 150698000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -18*i**2 + 4*i. Let o(r) = 17*r**2 - 3*r. Determine 3*a(m) + 4*o(m).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 854600169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73033547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 3:15 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/21 + (-114)\/42. Sort -0.1, 0.5, h in increasing order.\nAnswer: h, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 110.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10476 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73096059.\nAnswer: 3, 19, 1282387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 4. Let b be o(-6). Let g be (5\/(-28))\/((-4)\/(-32))*-14. Suppose 24*a - b = g*a. Solve -a*u = -7 - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 3*d. Let v(i) = -2*i**2 + 3*i. Let j = 13 + -8. Let w(f) = j*v(f) + 6*c(f). What is the second derivative of w(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -44*h**4 + 290*h**3 - 374*h**2 + 120*h = 0?\nAnswer: 0, 1\/2, 12\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 - 2 + 22*n**2 - 4*n**4 + 0*n**4 + 2*n**4 + 46*n**2 - 26*n**2 + 11*n as x*n + o*n**3 + p*n**2 + b*n**4 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/p**(-2))\/p)\/p)\/p*((p\/p**(-4\/5))\/p)\/p)\/(p**(1\/4))**(3\/11))\/((p*p**1)**(-1))**(-24) assuming p is positive.\nAnswer: p**(-10619\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**4\/3 - 13048*c**3\/3 - 645068*c**2 + 5896888*c\/3 - 3948640\/3 = 0.\nAnswer: -145, 1, 2, 3404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-39 - (6\/3 + 0)). What is the highest common divisor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from lkkcclcclclccc.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110110110100101 (base 2) to base 9.\nAnswer: 262263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 5, 0.4, -371, 4\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2. Let z(j) = j + 8. Let s(p) = p + 7. Let o(m) = -2*s(m) + 3*z(m). Give o(n(y)).\nAnswer: 3*y**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (26 + -2)\/3. Let v(w) = -7*w**2 + 18*w - 25. Let a(l) = -4*l**2 + 9*l - 13. Let q(y) = -5*a(y) + 3*v(y). Is 4 a factor of q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0. Suppose -5*j - 18 = -3*f, -4*f + j = -5*f - 2. Let x = 1 - 0. Which is the nearest to f? (a) 3 (b) x (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608 a factor of 612970106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-822)\/(-168) + -4 + (-5)\/35?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 4*o - 2*o - o - 2*o + o + (0 + 5 - 4)*(o - o + 4*o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2507462mm?\nAnswer: 0.0000002507462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 1369?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14451 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - -4.8.\nAnswer: 4.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y + 15. List the prime factors of b(-8).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvmcfm. Give prob of sequence cmfc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (5 - -5) + (-46 - -55) - 57 - 6?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 5*p + 2. Let b(o) be the first derivative of -o**3 - 2*o**2 + 2*o + 268. Give 5*b(m) - 4*r(m).\nAnswer: -3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 8*i**2 - 5*i - 20. Let d be v(-8). Suppose 0 = 5*z - d, 4*z + 327 = 4*k + 59. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -0.09 (b) -5 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5322, -8294, -11266, -14238, -17210, -20182?\nAnswer: -23154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 17, 33, 65, 119, 201, 317?\n\"Answer: k**3 - k**2 + 2*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*t - 103 = 6, 13*s + 2*t = 7*t + 79 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21578846*-1.\nAnswer: 21578846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 209719, 838886, 1887505, 3355576, 5243099?\n\"Answer: 209726*v**2 - 11*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 27*w**2 + 26*w + 21. Let i be t(26). Suppose -i*h + 35698 = 5*h. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*l - 4677 + 4684 = 0, -4*l + 12 = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 5*x**3 - x**3)*(2 + 2 - 2) + 30*x - 2*x**3 + 3*x - x.\nAnswer: 2*x**3 + 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4932 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3426?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 602 or 590?\nAnswer: 602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*f**2 + 221*f**6 + 16 - 23*f**2 - f**6 - 11 - f**2 wrt f.\nAnswer: 26400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2. Let d(j) = -2 - 2*j + j + 3. Suppose -5*m = 8*c - 4*c + 6, 3*m + 4*c = -2. Let x(b) = m*d(b) - p(b). Let n(w) = 2*w**2. Determine n(x(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -184910 divided by 272\nAnswer: -92455\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -80. Let f = -10.00000035 + k. What is f rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 - 7*g**2 - g + 2. Let h(o) = 7*o**3 - 15*o**2 - 2*o + 4. Let v(k) = 2*h(k) - 5*y(k). Let a = 9 + -4. List the prime factors of v(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3799717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3471\/7 + 495. Let o = -7.3 + 1.3. Let r = o + 4. What is the third biggest value in v, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.009, 5, 16, -5.\nAnswer: -5, 0.009, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/10 of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/47? (a) 0.4 (b) -4\/5 (c) -0.2 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/135 and -187\/2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:58 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 78.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47.4 + 47. What is the second biggest value in -3, y, 2, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/44, -5\/7.\nAnswer: -5\/7, 3\/44, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346472752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g**2 + 8*g + 10. Let o be m(-1). Suppose -2*x = -7*x - 20. Which is greater: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -972*c**2*p - c**2 - 40*p + 137 wrt c?\nAnswer: -1944*c*p - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/13 > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (2 - 4)) + -1. Let f be (z\/3)\/(27\/24). Let n = f + 101\/27. Find the common denominator of -44\/7 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.0911 to the nearest integer.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 288129.34 and 988251.\nAnswer: 1276380.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/2 + 377*l**3 - 75030*l**2 + 1473516*l = 0. Calculate l.\nAnswer: 0, 22, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-35)\/(-15) - 3)*-6. Suppose 8\/3*r**2 + 2\/3*r - 4\/3*r**d - 4\/3 + 2\/3*r**5 - 4\/3*r**3 = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/(3 + -4). Let b = -515 - -572.2. Let x = -57 + b. What is the nearest to 3 in d, -2\/17, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 390*i - 10475. Calculate k(-32).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2026019 and 597.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -164. Let k = 780 - m. What is k rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3. Let t be g(0). Suppose -2*a + 4*y = 12, y + 2*y = 4*a + 4. What is the third derivative of -k**4 + t*k**a - 2*k**2 - k**4 wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-1) + 19 - 4. What is the greatest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9074, -36430, -82058, -145964, -228154, -328634, -447410?\n\"Answer: -v**3 - 9130*v**2 + 41*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, a: 11}. What is prob of picking 3 a and 1 i?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**7\/840 + 13*c**4\/24 - 25*c**2. Let l(r) be the second derivative of j(r). Let z(b) = 12*b. Determine l(z(i)).\nAnswer: 432*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -787*p + 24404. What is s(31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-712)\/801)\/((-4)\/(-6))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 2:21 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.729836 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/12 and -23\/415247876?\nAnswer: 1245743628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/27 + (-4)\/(-18). Let n(x) = 10*x - 1. Let q be n(1). Let g = q + -4. Sort 4, b, g in decreasing order.\nAnswer: g, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -3, 4, -12375 in descending order.\nAnswer: 5, 4, -3, -5, -12375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*g + 4200 = -114*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91347 (base 13) in base 10?\nAnswer: 259812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -8*s + 0*s**3 + 19\/2*s**2 + 0 + 1\/3*s**4. Find the first derivative of d(l) wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) -1357 (c) 5.992\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + (44 - 50) - 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)\/((-1)\/9). Suppose -3*x + 5*c - s = 0, 0*c = 2*x - 2*c + 6. Let h(w) = 2*w**2 - 2. What is the tens digit of h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (277*o - 96113 + 96113)*(4*o**2 - o**2 - 4*o**2) to u*o**3 + c*o + n*o**2 + k and give u.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 175132297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10729106 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 16\/(-136) + 209892\/(-17)*(-28)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 + 3*z + 2. Let s(b) = b**2 - 2*b - 2. Suppose -3*k + 31 = 1. Let t be -1 - -5*3*2\/k. Let u be s(t). Determine r(u).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 463429 + -486600637\/1050. Let w = u + 2\/175. Let j be (-4)\/6 - (-1)\/(-3). Is w at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*r + 9*r - 23*r)*(-2*r - 4*r + 2*r).\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 214 - 70. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6102 (base 8) to base 11.\nAnswer: 23a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1758*m + 915*m + 29494 = -66734 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44041333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2. Let a(h) = 813*h**2 - 913*h**2 - 3134*h**2 + 845*h**2 - 3026*h**2. Determine a(f(r)).\nAnswer: -21660*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(2 + sqrt(425)) - (sqrt(425) + 2)*4)**2.\nAnswer: 20*sqrt(17) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**2 - 2685*y + 2690 = 0.\nAnswer: -538, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*b)*(1 + 0 - 3) - 2*b + 0*b + 3*b + (1 + 0 + 0)*(b + 4*b - 4*b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(143) - 3*(sqrt(143) + (-2*sqrt(143) - sqrt(143)) + sqrt(143))))\/(4*1*sqrt(11)*4).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 32. Solve 6*w = 2*w - i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 211130000?\nAnswer: 211130003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 6:56 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.819 + -1258.319. What is f rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -75.7. Let l = z + -13.9. Round l to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 1. Let k = 3 + 25. Let s = k - x. What is the remainder when 33 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (4 + -2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**3)**(2\/23))**(1\/4) assuming m is positive.\nAnswer: m**(-1\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 times 64?\nAnswer: 18880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 + 4*d**2 + 4*d + 6. Let j(p) be the third derivative of p**6\/24 + 7*p**5\/60 + 7*p**4\/24 + 11*p**3\/6 - 13*p**2. Determine -4*j(r) + 7*x(r).\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g + 2475*g**2 + 0*g - 4957*g**2 + 2478*g**2. Let k(b) = -b**2. Calculate k(p(u)).\nAnswer: -16*u**4 + 24*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by 2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396, -1680, -3834, -6858, -10752, -15516?\nAnswer: -21150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 510 (b) 0.5 (c) 9.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000431 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 10*i + 4*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1168025089 - -57?\nAnswer: -1168025032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-82 - -77) + (-1 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u - 46*u = 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 7. Let y = 61 - 61. Let f be k(y). What is the common denominator of (-18)\/48*f\/(-3) and -21\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56435310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1179151 + 1.191.\nAnswer: -1179149.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmmaccm. What is prob of sequence mmcm?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1488)\/13640)\/(15\/(-11))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 g, and 1 s when three letters picked without replacement from {g: 3, k: 5, s: 3}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -300 + 300.4. What is the fourth smallest value in 1\/5, -1, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84577200 to the nearest one hundred thousand.\nAnswer: 84600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, 5, 0, -32, 4.\nAnswer: -32, 0, 2, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2160241 + 43?\nAnswer: -2160187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -33*j**2. Let h(y) = -2*y**2. What is f(h(k))?\nAnswer: -132*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.266401 nanograms?\nAnswer: 0.000005266401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, x: 9}. What is prob of picking 2 x?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8257431 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*x - 4*v + 68, 5*x + 3*v = 186. Calculate the remainder when x is divided by (-6)\/15 + (-57)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103.915 + 0.085. Let a = q + -102. What is the smallest value in 5\/6, a, 4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (1 + sqrt(1300))**2)*2.\nAnswer: -2602 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428\/(-161) - (14\/(-28))\/(2\/36)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k + 9. Let g be j(-6). Suppose -2*l = -l - g. Suppose 4*n - q = l + 53, 3*n - 91 = 4*q. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 1560016 = 6*p. Suppose -4*b - 3119998 = -4*t + 3*t, -b = 4*t + p. What is b rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*o - 2682 = 455, 0 = -3*u + 4*o + 3097. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - a - 1. Let d = -2 - -1. Let t be k(d). Let x = 1077 - 1077. Sort t, -1\/5, x in decreasing order.\nAnswer: x, -1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6793, 511.2 in ascending order.\nAnswer: -6793, -2, 511.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2111 (base 3) to base 13\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679, 1468, 2365, 3370, 4483, 5704?\nAnswer: 7033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0 + 13)*(-39*i**2 + 39*i**2 + 90*i**4).\nAnswer: 1800*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-14)*860\/(-15) + (-560)\/40?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11069090*i**2 + 3845078?\nAnswer: 22138180*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 7)\/((-2)\/40). Solve -i = 5*p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 10*a + 15 = -11*a, 4*k + 2*a = 6. Suppose 0 = -2*c - 6, -6*c - 66 = -k*m - 2*c. What is the remainder when 153 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) - (-24)\/9. What are the prime factors of 7\/w*3 - 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1275, 2527, 3779, 5031, 6283?\nAnswer: 7535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*3\/6*18. Is (-36)\/i*(-2129)\/2*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 3 + -1 - 3) + (55 - 44)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + -24)\/(-8) - -5. Suppose -d*j + 66 = 21. Calculate the greatest common factor of j and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 11. Let y be ((-12)\/8)\/(3\/(-8)). Calculate the remainder when (38\/y)\/(1\/2) is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*q + 204, 2*z = 484*q - 489*q + 402. What is the greatest common divisor of 2107 and z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-288*u**3 + 2270 - 2270)*(u + 0 + 0) in the form x*u + c*u**4 + p*u**2 + w + q*u**3 and give c.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163580 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**1*x)\/x)**(-12))**(-1\/7) assuming x is positive.\nAnswer: x**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -55.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t**3 + 0*t**6 + 1\/15*t**5 + 0*t - 2\/105*t**7 - 4*t**2 + 0*t**4 + 0. Find the third derivative of l(s) wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 55, -2, -4, 243 in ascending order.\nAnswer: -4, -2, -1, 1, 55, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/473764 and -47\/44.\nAnswer: 5211404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28135 - 18*a + 28128 + 28101 - 112499 + 28136.\nAnswer: -18*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 400, 986, 1840, 2968, 4376?\nAnswer: 6070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - -88 - (-2 + 0 - (-4 + 3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4233 (base 5) to base 10\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22314\/65 at most as big as 344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 - -109 - (95 + -82)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -43) + (9 - 12) + -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106783 is divided by 17794?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.2*49918.\nAnswer: 958425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13792616*d**6 + d**4 + 54260792*d**2 wrt d?\nAnswer: 1655113920*d**3 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1146*c + 1 + 1 - 1163*c - 5 + 2*c**2 + 3.\nAnswer: 2*c**2 - 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 1044*c**2 + 3*c**3 - 750*c**2 - 5*c**3.\nAnswer: c**3 - 1794*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j**4\/5 - 44*j**3\/5 - 86*j**2\/5 - 36*j\/5 = 0. What is j?\nAnswer: -1, -2\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2281 - 1.2270274. What is w rounded to 5 decimal places?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 2*d. Let q be m(-2). Let n = -7 + 20. What is the remainder when n is divided by (-36)\/q - (4 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*w + 155*w - w**2 - 229*w to d*w**2 + j*w + x and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 758 = -800. Let p(w) be the second derivative of 0*w**2 + 0 + b*w + 1\/12*w**4 + 0*w**3. Let h(q) = -14*q**2. Determine h(p(c)).\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53361566.\nAnswer: 2, 29, 53, 17359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 177000 = -4*h, -24*h + 21*h = 4*o - 132781. Is h a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -0.190479483971811.\nAnswer: -0.490479483971811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*f - 88*f + 465 - 185. Solve 20*l - f*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1122*x + 8. What are the prime factors of v(-1)?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -134*c + 1606. Let u be p(12). Let i(k) be the second derivative of -k**5\/20 + k**3\/2 + 3*k**2\/2 - k. Is 3 a factor of i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 163*n**2 + 20082*n + 1947. Calculate x(245).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 - (-4)\/3. Let c = l - 2. Suppose 2*w + 2*w + 20 = c. Let u(r) = -r**2 + 5*r. Let o(p) = p**2 - 6*p. Give w*o(a) - 6*u(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = -10. Suppose l + 3 - m = 0. Suppose -l*p - 2*p = -140. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 25 (b) 1\/8 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 21240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6 + 28\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = -0*s. Let q(l) = 3*l**2 - 2*l - 9*l**3 - s - l**3 + 2*l**2. Let x be q(7). What is x rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 1607*l + 138433. Determine t(82).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5953 rounded to 2 decimal places?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1800 and 179040.\nAnswer: 2685600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooeysegymsegsms. What is prob of picking 1 g, 1 y, 1 s, and 1 o?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 2*i**5\/5 + 12*i**3 + 40. Find the third derivative of h(u) wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13283 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*u**3 - 545*u**3 + 16*u**2 - 16*u**2.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {d: 2, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -373400393\/1228 + 304072. Find the common denominator of 17\/28 and l.\nAnswer: 8596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/276 and -93\/16?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.32 and 5915170702301?\nAnswer: 5915170702300.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = q. What is the second derivative of -3*z - 3*z**3 + 1 - q + 2*z wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 119*q - 227. Calculate a(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17100126 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3134 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8583.5 plus 0.1?\nAnswer: -8583.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + 124. What is the remainder when q is divided by -15 + (-2)\/(12\/(-900)*3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879435.7 rounded to the nearest 10000?\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49351282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8852 by -20478.\nAnswer: 4426\/10239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 13*d + 5. Let u be h(-13). Suppose 0 = -u*v - 28 + 3. Let a be (-2)\/v + 161\/35. Sort a, 14, -1 in descending order.\nAnswer: 14, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 323, 321, 319, 317?\n\"Answer: -2*u + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10237 + 10302. Solve p = -v + 6, -x*v + 62*v = 5*p - 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (537\/156 + -2). Let j = 9\/13 + y. Sort j, 0.1, -2\/9 in descending order.\nAnswer: j, 0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**2*r**3*x**3 - 27898*q**2*r**3*x**2 - 14*q**2*x**3 + 190*q**2 - 12*r**2*x wrt r.\nAnswer: 6*q**2*x**3 - 167388*q**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1937, 1960, 2007, 2084, 2197, 2352, 2555, 2812?\n\"Answer: r**3 + 6*r**2 - 2*r + 1932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhpvvphpzhjhvhhph. What is prob of picking 1 p and 3 v?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 4*k - 3*k)*(-4*k - k + k + (-1 - 1 + 1)*(1 - k - 1)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, k: 5}. Give prob of picking 4 s.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 84, 2.5, 3, -9149 in decreasing order.\nAnswer: 84, 3, 2.5, 1, -9149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25929 is divided by 73.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tai when three letters picked without replacement from tttzavaiaataat.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 212280503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 + 360*v**2 - 1750*v = 0.\nAnswer: 0, 5, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107637364?\nAnswer: 2, 3631, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144138*d**6 + 4869*d**2 wrt d.\nAnswer: 17296560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -114 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 140.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (7 + -3)) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4486175119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92472, -371991, -837856, -1490067?\nAnswer: -2328624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11301403 (base 5) to base 12.\nAnswer: 4b989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4\/30) + (-10)\/50\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 77, 115, 155, 197, 241, 287?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4482373 by -91477.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/306999464 and 63\/4384.\nAnswer: 1227997856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 = 5. Sort l, 0.6, 4\/5 in ascending order.\nAnswer: 0.6, 4\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637615295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*u + 88, -2*m + 0*u + 81 = -5*u. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((4 + -5 + 3 - 6) + 13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4855 - -39.7245. Let r = a - 39. Let v = r + -0.71. What is the second smallest value in -0.1, -0.5, 1\/4, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66820 rounded to the nearest one thousand?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p - 0. Let q = 13 + -5. Calculate the remainder when q is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111817.00138018 - 111817. What is z rounded to five dps?\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.481931l in millilitres?\nAnswer: 5481.931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 3*b + 6, 6 = 3*b. Let t = -4 + 6. Let a = i - t. What is the second biggest value in a, 2\/23, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, g: 4, e: 1, k: 6}. Give prob of picking 1 u and 1 g.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 964714 and 3858856?\nAnswer: 3858856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 8 - 8)*(-19 + x**2 - x + 6 + 8).\nAnswer: -4*x**3 + 4*x**2 + 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18f76 + 29?\nAnswer: 18f9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 61\/8, 2, -3\/178700?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.889925ug?\nAnswer: 0.000000003889925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6487*m**3*y**3 + 180*m**2 - 4*m*y**3 wrt m?\nAnswer: -38922*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14333257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 - 136*j**4 + 260*j**3 - 128*j**2 = 0. What is j?\nAnswer: 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 531 + 531.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1447997\/36 - 40225. What is the common denominator of x and 53\/1950?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088729609?\nAnswer: 3, 61, 11413823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h - 9. Suppose -3*q - 6 + 51 = 0. Let v be 28\/6 - (-5)\/q. Let p(w) = -538*w - 14 + 331*w + 213*w. Calculate v*p(t) - 8*f(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*l - 4\/5*l**2 - 16\/5.\nAnswer: -4*(l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000381 to seven dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(77) - (sqrt(77) + (2*sqrt(77) - sqrt(77))) - sqrt(77))*-1 + sqrt(77))\/(sqrt(63)*1).\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 13. Let d = n + -23. What is the closest to d in -1, -2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2216\/6094*((-22)\/10)\/((-2)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -29. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1876 and 4556?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 21 = 22. Let d(r) = 3*r - 1. Let w be d(m). Let 36*q**2 - 58*q**3 + 12*q**w + 6*q**3 - 4*q**5 - 16*q + 24*q**4 = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20120112 + -1?\nAnswer: -20120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2453448874?\nAnswer: 2, 17, 6037, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356, -897, -2370, -5243, -9984, -17061, -26942?\nAnswer: -40095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let y(z) = -19*z**2 - 2*z - 1. Let b be y(-1). Let x be (b\/4)\/3*-4. Let s(m) = 13*m + x - 11 + 5. Determine o(s(w)).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = 2*g - 4*c, -4*g - 5*c + 12 = 0. Let m be 82\/(-78) - (g + -2 - -3). Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11790*u**2 + 43*u + 94. 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 hundreds digit of 32417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 18*b - 26 = 21*b, -3*i + 2*b = -18. Let d(u) = u - 1. Let j(x) = -x**2 + x + 1. Let h(v) = d(v) + j(v). Determine h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-18)\/45 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376162, 375570, 374974, 374374, 373770?\nAnswer: 373162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from rrknrznzrrrrnekqz?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-30))\/(40\/(-10)))\/((-112)\/160).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v - 30. Calculate the remainder when f(24) is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249100 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfgtlglinntlglgg. Give prob of sequence gnf.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llgg when four letters picked without replacement from ggllllllgllllgllll?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, h: 1, c: 2, k: 2, g: 3, q: 1}. What is prob of picking 1 c and 3 s?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 3. Let d be -1 + (-4)\/(o\/(-6)). Solve -3*g + 5 = d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(4)*2) - -4*sqrt(275)\/sqrt(5))\/((sqrt(121) + sqrt(121) + -3*1*sqrt(121))\/(-1*sqrt(396))).\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5520000 = -6*j + 5*j. Let k be (-4)\/(-10 - -14)*-3. Suppose -j = v + k*v. Round v to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/2 (c) 84 (d) -5 (e) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**5\/10 - 17*t**4\/5 + 33051*t**3\/10 + 162428*t**2 - 12411490*t + 160921800 = 0.\nAnswer: -130, 23, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 46 - 30)*(-q - q - q).\nAnswer: 282*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(19) + -3 - (sqrt(19) + sqrt(684)*6).\nAnswer: -36*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 - 0) + 252\/(-648)*-18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 19*b**2 + 44*b + 761. Give r(-20).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Express -18*s**3 + 4*s + 164*s**4 - 5*s + s**2 - 165*s**4 in the form p*s + n + b*s**2 + t*s**3 + h*s**4 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1361*c + 1377. What is s(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4231579598 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:22 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 421164?\nAnswer: 5475132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -12*k. Let r(p) be the third derivative of 0*p**3 + 11*p**2 + 0*p - 1 + 13\/24*p**4. Calculate r(j(n)).\nAnswer: -156*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 (base 15) in base 8?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1083708059 and 4214.\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 5:56 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.75367 to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v\/(v*v**(-1)*v*v)*v)\/v))**(26\/7)*(v*v**(-3\/2)*v)**35 assuming v is positive.\nAnswer: v**(401\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + 5.99. Let g = -5 + m. Put 2, g, 0.2 in decreasing order.\nAnswer: 2, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*c + 2238 = -23*c - 39 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/22692 and 95\/22.\nAnswer: 249612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1593244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 614, 590.51.\nAnswer: -0.4, 590.51, 614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 0.622669471.\nAnswer: 3.622669471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 - 9)*(1 - 1 - 2)*(-73*r - 137*r + 141*r).\nAnswer: -2208*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 24, 37, 44, 45, 40, 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 104*v**3 - 5*v + 4. Suppose -3*f = 3*p - 30, -4*f + 4*p + 0*p + 80 = 0. Calculate the remainder when l(1) is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 3. Calculate n(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 439984037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1113 (base 5) to base 11\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3\/2))\/(l*l**(-2)))**(-41) assuming l is positive.\nAnswer: l**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**5 + 4*k**3 - 71*k?\nAnswer: -20*k**3 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + -7. Let l = -18 - r. Which is the closest to -2\/3? (a) l (b) -10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (251\/5271)\/((-2)\/(-210)). Solve -2*d - 5 = -3*b, a*b = -4*d - 15 + 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*u - 4794 - 7401, 2*n - 6 = 0. Find the common denominator of -35\/22 and u\/480 - (-4)\/(-40).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 16*x**2 - 19*x. Let j be f(-15). Suppose -3*o - 5*y + 167 = 0, 4*o + 5*y = 86 + 140. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/2, 2, 3\/415, 5\/21 in decreasing order.\nAnswer: 2, 3\/2, 5\/21, 3\/415, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-38)\/(-95))\/(10\/125))\/40.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 5.2.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0*f**(2\/7)*f*(f\/(f*f**(1\/3)*f))**(-46))\/(f**(-2\/5)*f*(f\/(f*f**(-2\/9)))\/f)**(-39) assuming f is positive.\nAnswer: f**(1984\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k - 2493 = 2872. Calculate the remainder when k is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4767 or 3178?\nAnswer: 3178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/60 + j**4\/8 - 2*j**3\/3 + j**2. Suppose -19 = -2*r + 41. Suppose -2*b = 3*k - 0*b + 7, 2*k + r = 5*b. What is z(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 6*r**3 + 7*r**2 - 96*r + 144.\nAnswer: -(r - 4)*(r - 3)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 1885515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*(-78 + -1))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/18)\/(1\/6). Let x be 6\/(-2) - m - -3. Suppose -121 = -x*z - 4*y - 1, y = 2. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**3 - 5*l**2 - 5*l - 5. Is z(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48.35 + -52. Let h = a - -3.68. What is the nearest to h in 2\/9, 5, -2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 9.7, -0.8 in increasing order.\nAnswer: -1, -0.8, 1, 9.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(8\/7)\/f)**43 assuming f is positive.\nAnswer: f**(645\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 778 + 466. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 4. Let f be g(-6). Suppose 3*c = f*d + 26 - 153, -d = 3*c - 68. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yjymm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(320)*-4)**2 - (0 + (sqrt(320) + 1)**2).\nAnswer: -16*sqrt(5) + 4804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -208 and 0.2?\nAnswer: 208.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1125) + 2 - sqrt(1125)))**2 + -5 + (sqrt(500) + 0 + (sqrt(500) - (1 + sqrt(500))))**2.\nAnswer: -20*sqrt(5) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 0*h + 3*h)*(1 + h - 1 + (-9*h + 3*h - 3*h)*(2 - 1 - 2))*(1 - 2 - 1) as c*h + t + u*h**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = x - 4, -5*x = -3*w + 11 - 3. Let g(v) = v**3 - v - 1. Let z(f) = -46*f**3 - 6 - 17 - 92*f + 3 - 140*f**2. Let h(p) = w*g(p) + z(p). Factor h(d).\nAnswer: -2*(d + 2)*(5*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 0*h + 4*r - 52 = 0, -439 = 2*h - 56*r + 231 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2\/9*j**3 + 2\/9*j + 0*j**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2844 + 2848 + 52*x**2 - 5704 to t*x**2 + y*x + d and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 44 (c) -5 (d) 24\/11 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.951, 235, -0.3?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (20 - 34) - (1 + -3 + 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z + 10 = 5*u, 2 = u. Suppose 2*f - 5*f = -p + 1, 2 = p - 2*f. Let m = p - 4. Solve -x + m*x - 2 = z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*g - 40, 0*j + j - 5 = 2*g. What is the lowest common multiple of j and 56\/26 - (-6)\/(-39)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 18232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516592 is divided by 1516182.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**8\/56 + 2*m**5\/15 - 7*m**2. What is the third derivative of v(y) wrt y?\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9886*d + 98856. Calculate a(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.18692*1.5\nAnswer: -0.28038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*v + 19 + 16 = 0, 5*k + 9 = -4*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + 2.9. Let c = -9 + 8.6. Let b = -0.1 - c. What is the third smallest value in b, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 12*v - 26. Let l be c(4). Calculate the greatest common divisor of 138 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-275) - (-192)\/100. Sort k, -35, 23.\nAnswer: -35, k, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.171627 centuries to years.\nAnswer: 617.1627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1063047234.\nAnswer: 2, 3, 83, 2134633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*o + 270 = 0, 2*s + 4*o + 180 = -0*o. Let c be ((-4)\/(-3))\/((-40)\/s). Solve -c*k + 7*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -318345*o**4 + 207901*o.\nAnswer: -3820140*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1551 and 18414?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 23 - 3. Calculate the greatest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 5, -5, -12310, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125 + 5?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444*r = -1802 - 862. Solve -58*b + 52*b + r = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 + 192604*q**2 - 192612*q**2 + 103 + 5*q - 114 - 2*q**3 - q**4 to x + g*q**2 + i*q**3 + f*q + c*q**4 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 0 + -1)*14\/49. Suppose 0 = -5*v - v - 6. Let r be 0 + 2 + v - 8\/12. Which is the closest to q? (a) r (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 33*c**2 - 2*c - 53. Suppose 5*x - 2*g = -165, 112 = -3*x - 5*g + 13. Let t be o(x). Solve 4*i - 5 = -t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18684660 rounded to the nearest ten thousand?\nAnswer: -18680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - v**2 + 4 + 3.\nAnswer: v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77631747 is divided by 186?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4 - 64*m**3 - 10694*m**2 + 481876*m - 1752816 = 0. Calculate m.\nAnswer: -78, 4, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37200 and 11640.\nAnswer: 3608400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-198)\/231)\/(1\/(-7)). Let m be -3*(-4)\/60*(-3)\/x. Which is the closest to -0.1? (a) m (b) 2\/5 (c) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3776 is divided by 3664.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 19. Let p be v(-10). Let u be (2 - 7\/3)\/(p\/54). Suppose -56791 = -u*t - 556791. What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*o = -70940, -13*l - 3*o = -10*l + 53217. What is l rounded to the nearest 100?\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.23 (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4563 and 3627.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105279802 a multiple of 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20718794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:10 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 9*y + 7. Let v(r) = 2*r**2 + 11*r + 24. Let t(m) = -m**2 - 10*m - 18. Let g(l) = 3*t(l) + 2*v(l). What is -7*g(f) - 6*i(f)?\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -402 - -404. Factor 3696 - 72*c**3 - 1847 + 4*c**g - 1849 - 4*c**4 + 72*c.\nAnswer: -4*c*(c - 1)*(c + 1)*(c + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -922719 and 261.\nAnswer: -240829659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039525278 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/((-3)\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 equal to 0.71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 3 + 3*d + d - 4*d**3 + 16 as b*d + c*d**2 + z*d**3 + y and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z. Let n = 0 - z. Calculate the remainder when 0\/5 - (n + -20) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -21\/2*z**2 + 44 + 6*z + 21\/4*z**4 - 2*z**3. Suppose y(u) = 0. Calculate u.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -773, -1554, -2345, -3146, -3957?\nAnswer: -4778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176262 = -2034*x - 69852 for x.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 568, 2280, 5130, 9118, 14244?\nAnswer: 20508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0538874528 to 3 dps.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -7*r + 75. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20443, -3313, -4 in decreasing order.\nAnswer: 20443, -4, -3313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - d**2 + 35*d - 5. Calculate i(5).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/170 and 31\/238.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/2)\/(21\/(-42)). Let o be (j\/(-15))\/(6\/5)*10. What is the third smallest value in o, 0.2, -1\/12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 - 122.33. Let d = k + -1.37. Is 2\/11 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - r**2 + 7*r + 2. Let s be 6*(30\/4 + -8). What is z(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 9:17 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -55, 2\/9, 0.41, 5, -2\/91?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 + 5088710*z + 6473742366025 = 0 for z.\nAnswer: -2544355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 24237.68kg?\nAnswer: 24237680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 10*j - 4*j**2 + 30*j - 10*j + 40.\nAnswer: -4*j**2 + 5*j + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i + 54. Let x be s(-27). Suppose x*b - 10*b = -1350. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 0 - (177 - 183)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 4\/7, 8\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3151)\/(-274))\/(12\/(-144)) - 12\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10010101001 (base 2) to base 6\nAnswer: 5305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**2 - 13*l + 30*l - 17*l.\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5722 = -5*j + 3*r, -4*r = j - 1005 - 144. Suppose 0 = -6*f + 559 + j. Calculate the remainder when f is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 1)*(-2*a - 2*a + a).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 44 + 189 + -259\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30204 + -3030?\nAnswer: -33234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2874149?\nAnswer: 19, 23, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/12 + 7*x**3\/2 + 5*x**2 + 21*x. Does 9 divide j(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 12410386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -55101530 (base 6) to base 7\nAnswer: -16643460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46319, 54134, 61949, 69764, 77579, 85394?\nAnswer: 93209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 982*2*4\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f. Suppose z = -f - 1. Let q be ((-3)\/(-6))\/(3\/6). Sort q, z, -2\/3 in descending order.\nAnswer: q, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*r**2*u**3 + 2896*r**2*u**2 - 13835*r**2 + 3 wrt u?\nAnswer: -45*r**2*u**2 + 5792*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.5681 - -6.57. Let m = 4.1981 + b. What is the closest to m in 0.3, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**22)\/s)\/s**(2\/19) assuming s is positive.\nAnswer: s**(416\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4324532.38 rounded to the nearest ten thousand?\nAnswer: -4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16027 is divided by 2002?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1555 - -4609\/3. Let s = 421 - 1065. Let p = 3817\/6 + s. Find the common denominator of d and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 + 6. Let l be d(-3). Let b = l + 32. Suppose 0 = 11*v - b*v - 297. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3938414g to nanograms.\nAnswer: 393841400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - (10 + -27)) + -34\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153152 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -14 - 1. Let a = -7 - f. Calculate the common denominator of (a\/(-20))\/((-4)\/65) and 25\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-44) + (-4)\/(-8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 = 5*z - 2*y, 2*z + 4*y + 12 = 0. Suppose 3*t = -l - 12, 7 = 4*l - 3*t + 10. Sort z, l, -14 in ascending order.\nAnswer: -14, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -52 - 20. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -24*w + 10. Solve -w*x - 13 + 13 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (8\/(-32) - 102\/8). Solve 4*h = -0*h + s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -1\/6, -6140?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 4*c**2 - 5*c + 6. Calculate x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.31 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 151*c**5\/60 - 8*c**2. Let o(q) = -q**2. Give k(o(v)).\nAnswer: 151*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 6. Let m(h) = h**2 + 2*h + 1. Let c be m(f). Let q be (-1 - 1 - -1) + -2. Sort c, -4, q in descending order.\nAnswer: c, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 158 - 156. Solve 5*p - 17 = 5*d - n, p = -3*d - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 23, -0.1, 2\/9, 8\/11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nteeteetenee. Give prob of sequence tt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 363335.6 micrograms in grams?\nAnswer: 0.3633356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 + -11 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3dd1a7 (base 15) in base 11?\nAnswer: -1756332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452139794?\nAnswer: 2, 3, 7, 29, 56773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 25 = 55. Let r(y) = y**2 + 25*y - 116. Let u be r(j). Is u less than -2\/1191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14057, -2\/5, 0.5, -0.2, -4 in increasing order.\nAnswer: -14057, -4, -2\/5, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 252313.254484?\nAnswer: 252312.854484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4087 and 25397655?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-2))\/(-1*(-7)\/(-14)). Factor 2*g**3 + 5*g**5 + 3*g**5 - 9*g**w + g**4.\nAnswer: -g**3*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 581188843 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/4)\/(-36)*-2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/22)\/(1\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 37. Let i be j(-15). Suppose -i + 12 = -v. Which is the nearest to 10? (a) -0.2 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-3 + 3))*-1. Suppose 5*l = 3*o + 19, l = s*l + 5*o - 20. Suppose -l*f - 23 = -178. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3 + 1. Find the first derivative of 3*t**4 + 0*t**4 + 3 - t**z - 3*t**4 wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z - 23. Let t = -2 + 3. Let l(p) = -t + p - 4 - 3. Let o = 38 + -55. Determine o*l(m) + 6*w(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 301123220011 (base 4) to base 16\nAnswer: c5ba05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 4*y**2 - 3*y. Let k be q(2). Suppose -k*h - 128 = 2*h. Let p be ((-9)\/(-4))\/((-4)\/h). What is the greatest common factor of p and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + p + 21 = 0, 4*h + p - 19 = 4*p. Let b be 3*((-368)\/(-12))\/h. Suppose -2*w + b + 11 = 0. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/26)\/((j\/(((j\/j**(-5\/8))\/j*j)\/j)*j)\/j))**(13\/6) assuming j is positive.\nAnswer: j**(-35\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6 and 51\/287.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 973 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + -221500?\nAnswer: -221533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:50 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27952 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 101001010101?\nAnswer: -101001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(17) + -1 + -3 - 5*sqrt(68)) + sqrt(153)*-1 + sqrt(17) + (sqrt(68) - sqrt(17)) + -5)**2.\nAnswer: -10686 - 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/(-5))\/((-32)\/10))\/((-540)\/(-720)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + 4 - 0) + -2 + 3 + -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/7 - 3846*i\/7 - 17591067\/7 = 0. What is i?\nAnswer: -2691, 6537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32188*i**5 - 466*i**3 + 557471732*i**2.\nAnswer: -1931280*i**2 - 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 - 31*s**3 - 226*s**2 - 336*s.\nAnswer: -s*(s + 2)*(s + 8)*(s + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112201302300 + 2?\nAnswer: -112201302232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 10 = 5, 15 = -4*g + 3*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**3 - 3*h**2 - 2*h + 3. Let f = 14 - 17. What are the prime factors of q(f)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 30*m - 186. Let r be f(6). Let k(q) = -1. Let b(j) = -4*j**2 - 3*j - 6. Let z(g) = 3*g**2 + 2*g + 6. Let l(c) = 4*b(c) + 5*z(c). Give r*k(i) - l(i).\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2109 or 2115?\nAnswer: 2115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*d - 384 = 50*d - 5400. Solve 2*l = -v + 9, -35*v = -d*v - l + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*n + 3. Suppose 0 = 2*w - n - 4. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -780376.7 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3442, -3603, -3764?\nAnswer: -3925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23864269987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*t + 5 - 3*t**2 + 10*t + 9*t - t**3 in the form n + q*t**2 + k*t**3 + z*t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 57 = -15. Solve b*u + 4 = 7*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2869038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvdznooqqqdqzqqdvzo. What is prob of sequence dvd?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233 - -231. What is the second biggest value in -5.7, 0.04, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -172*g + 43926. Give n(254).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*w + 16 = 0, 4*c + 4*w - 10 = 3*w. Suppose 0 = -3*g - 12 + c. Let i = 18.1 - 18. Is g equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - 18 - (12 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-4)\/1)\/((-18 + 19)\/(-11))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1 = -4*d, -1 + 5 = 4*d + 4*x. Suppose -d*s + 3*s = 804. Let i = 429 + s. What are the prime factors of i?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 55 - 81 = -4*d, -4*d + 96 = 4*x. Suppose -5*u = 4*l - d, -16 = l - 3*l - 4*u. Suppose -2*v = l*v - 616. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*m - 2*f = 356*m + 22, 6*m = 3*f + 27. Let h be (5 + 0)\/((-1)\/(-2)). Solve m*l = 6*l - h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5) + 0)*6.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/15 + (-44)\/(-66))*10. Let r be 16394\/210 + (1 - 4\/w). Solve 4\/5*b**3 - r + 84\/5*b + 48\/5*b**2 = 0 for b.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 6. Suppose -5*d = -10 - v. Suppose f - y = -1, 0*f + 3*y - 3 = 5*f. Solve c + c + 10 = 4*s, f = d*c + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.49, 4, -60, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bdbbbbbbbfbbbb.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 5:08 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2144111 - 12412?\nAnswer: -2212023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -22)*10\/35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -18, -25, -32?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9266 and 2214.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v + 3*v - 10*v. Let k(o) = -4*o. What is f(k(g))?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1981\/10 - -198. Which is the fourth smallest value? (a) -0.8 (b) t (c) 0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 3:39 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/1073?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1215 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -67270 (base 13) in base 5?\nAnswer: -21442144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19860.3531 minutes to weeks.\nAnswer: 1.970273125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/378*(-6)\/(-4). Sort -2\/9, 0.01, a.\nAnswer: -2\/9, a, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3 = -u, 7*v = 4*u + 6*v - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 7. Find the second derivative of -2*x - 22 - 21*x**2 + 9 + m wrt x.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a2a9 - -4357?\nAnswer: 23655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 7*b - 10*b - 5*q, 2*q - 47 = -b. Calculate the highest common factor of b and 2219.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*w + 10, -5*w + s + 4*s - 15 = 0. Solve -r - w = 0, 4*v + 18 = -r + 2*r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1 (c) 0.1 (d) -0.07 (e) -0.61 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1991770438.78085 and 3.\nAnswer: -1991770435.78085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/186, -5\/2, 2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:34 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**(-1)\/k)*k)\/k)\/k)**(-14)\/(k**0)**31)\/(((k\/k**(-6))\/k*k)\/(k**(-1\/6)*k)*k\/(k\/(k*k**(-6)))*k**(-2)) assuming k is positive.\nAnswer: k**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5 - 14*o**2 + 3*o**2 + 5*o**2 - o**3 - 5*o. Let a be g(-4). Let m be (a\/(-1))\/(4\/36). Calculate the greatest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002584147 to seven decimal places.\nAnswer: -0.0002584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 2, z: 1, w: 1}. What is prob of sequence sy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -111*j**2. Let h(w) = 262*w + 1. Determine d(h(s)).\nAnswer: -7619484*s**2 - 58164*s - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50075 and 20030.\nAnswer: 100150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2*24375\/(-3900)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -969 - -b8623?\nAnswer: b7876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2071272.1 - 489\nAnswer: -2071761.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*d**2*m**2*n - 434*d**2*m*n**2 + 38560*d**2*m*n + 354*d*m**2*n**2 - 2*d*m**2*n + 2*d*n wrt n.\nAnswer: -868*d**2*m + 708*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015036 rounded to five decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/256 + 4483\/768. Let o = i - 101\/18. What is the third biggest value in -3, o, -6\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244224 - 0?\nAnswer: 244224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 255 = 5*a, l - 225 = -5*a + 3*l. Let z = -189\/4 + a. What is the smallest value in 3\/4, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 3*p - 3. Let x be 4\/(16\/20) - 4. Suppose b - 3 - x = 0. Give y(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -q - 1 + 12, 0 = -3*p - 2*q - 38. Let i = 33 + -21. Let z = i - p. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/543 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*w + 4*w. What is the remainder when 29 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 19 + 12)*(-15 + 15 - 11*f) as t*f + p and give t.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.0597 to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/18)\/(28350\/(-25515)).\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - a)*(10*a + 4*a + 2 + 0).\nAnswer: -14*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-247 - 7*a + 118 + 128)*(34 - 34 + 4*a**2) to the form o*a**3 + r + k*a**2 + u*a and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/4)*c*c**(-2))\/(c**(-5)\/(c**(3\/8)*c)))\/((c\/(c\/(c*c**(-1)*c)*c)*c)**14\/(c**(-1))**(-50)) assuming c is positive.\nAnswer: c**(341\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 28*b - 144 = 0. Suppose -5*d - 4*q - b = 0, -3*d + q - 5 - 3 = 0. Let i(x) = -2 + 6*x + 2*x**2 - 2*x**2 + x**2. Determine i(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 0*h**3 + 0*h - 2\/15*h**5 - 1\/12*h**4 + 1\/6*h**6 - 1 + 0*h**2. Factor n(g).\nAnswer: g**3*(g - 1)*(3*g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aavavaaaavv. Give prob of sequence vav.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*i + 67672 = 136*i. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v\/v**(-1\/3))*v*v))**(4\/3)*v**3*v\/(v**(-2)\/v)*((v*(v*v*v*v**(-6))\/v*v*v)\/(v*v**2*v))\/(v**(-2\/17)*(v**(-5\/2)*v)\/v) assuming v is positive.\nAnswer: v**(733\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*w + 741, 5*p - 592 = p + 2*w. Suppose 0 = -0*h - 3*h + p. Calculate the remainder when h is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 123 - 308?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:33 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/20 of a kilogram in grams?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2. Let q(k) be the third derivative of -15347*k**4\/24 - 39*k**2 - k - 78. What is v(q(b))?\nAnswer: -471060818*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4101469 to the nearest integer?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2084314 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1218 and 5162?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 2749 (c) -2\/11 (d) -0.2 (e) 190\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/21 - (-31547954)\/6. Suppose 3*k - q - 5542002 = 2*g, -k + 21599998 = -4*g. Round g to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005671*t**2 - t**3 - t**3 - 1005672*t**2.\nAnswer: -2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b**2 - 29*b**3 - 29*b**3 + 1 + 32*b**3 wrt b.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4441, -6731, -9019, -11305?\n\"Answer: p**2 - 2293*p - 2149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7375183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 4*j. Let p = j + -4. Let b = p + 18. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13888*z**3 + 19*z**2 + 49*z + 25. Let c(q) = -q**3 + 3*q**2 + 2*q + 3. Let m(i) = 9*c(i) - y(i). What is the third derivative of m(u) wrt u?\nAnswer: -83382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -158370, -158433, -158538, -158685, -158874, -159105, -159378?\n\"Answer: -21*v**2 - 158349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.44 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3)*a)\/a**8 assuming a is positive.\nAnswer: a**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**4 - 14*s**4 - 4*s**2 - 3*s**2 + s**2 + 2*s**3 wrt s.\nAnswer: -408*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -369\/7 - -53. Let v be (-2)\/8 + (0 - 0). Which is the closest to 1? (a) v (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2. Is 1\/7 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23817528 and 316512.\nAnswer: 95270112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = 1. Let t(b) = 5*b**2 - 4*b**2 - 2*b**2 + 6*b**2 + 1. Calculate t(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0121 minus 1183327591?\nAnswer: -1183327591.0121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 7*p**4 + p**3\/3 - p - 817. Calculate v(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 591121861 from -0.06.\nAnswer: -591121861.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12782, -102280, -345198, -818246, -1598134, -2761572, -4385270, -6545938?\nAnswer: -9320286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnkzxss. Give prob of sequence ns.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 6:11 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 215.02 times -9\nAnswer: -1935.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75285 is divided by 150?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -12, -51, -130, -261, -456, -727?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 + 83. What is the remainder when x is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 5*o - 3*o)*(o**2 + o - o) + 0*o**3 - o**3 + 0*o**3 - o**3 + 2*o**3 - 4*o**3 + o**3 + 9*o**3 - 3*o**3 to d*o**3 + z*o**2 + v + a*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 141*i**6 + 39*i**2 - 1. Let s(q) = -140*q**6 - 39*q**2 + 1. Let a(u) = -5*l(u) - 4*s(u). Find the third derivative of a(d) wrt d.\nAnswer: -17400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65.5 - 61. Let h = 0.27 + -1.27. Is h smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 + -0.01. Let z = 0.06 - k. Is z bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - ((-3 - 3) + 2 + 1). Let q(m) = -m**3 + 11*m**2 + 26*m - 2. Let i be q(u). Which is the third biggest value? (a) 0 (b) i (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1000047581 and 2183?\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(1078))\/(sqrt(66)\/(sqrt(54)*4)).\nAnswer: 1008*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14668c (base 13) in base 7?\nAnswer: -4151200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*b = 199*b - 96*b - 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*a - 6*a. Put a, -3, 115 in ascending order.\nAnswer: a, -3, 115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -308, -301, -294, -287?\n\"Answer: 7*m - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g. Let q(l) be the second derivative of -2*l**3\/3 - 4*l**2 + 40*l - 1. Determine q(s(r)).\nAnswer: -8*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) -2887 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 138*q**2 - 107*q - 4430. Calculate the remainder when 3895 is divided by s(139).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-106*q - 255*q + 6*q)*(-3 + 8 - 1) as p*q + z and give p.\nAnswer: -1420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48816 and 820719.\nAnswer: 3051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 862.268 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 221197.\nAnswer: 22119.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -408177, -816506, -1224821, -1633116, -2041385, -2449622, -2857821?\n\"Answer: t**3 + t**2 - 408339*t + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 6. Let h(i) = 4*i + 7. Let s(z) = -5*f(z) + 4*h(z). Let l be 2\/(-16) - 60\/32. Give s(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-25) + (-37)\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 10*j + 12. Let i be b(-9). Factor 2*s**4 + 2*s**3 - 2*s**5 + i*s - 2*s**2 - 3*s.\nAnswer: -2*s**2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = 0, 0*x + 2*x - 34 = -5*o. Suppose 3*w + u + 2*u - x = 0, -3*u - 3 = -3*w. Suppose 1 = k - 0, -120 = -5*p + w*k. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4065?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1216 = 3*k + 2*l, l + 402 = k - 0*k. Suppose 3*b + b - k = 3*t, 303 = 3*b - t. Suppose -5*i = -84 - b. What is the remainder when i is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 9*h**2 + 7*h - 6. Let g be d(-8). Solve -s + 1 = -g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l\/(l*l\/(l\/l**(-2\/7))))\/l*l)*l\/(l**(-3)*l))\/(l**(-1\/4))**(3\/34))\/((l\/(l**4\/l))\/l**(-3\/4))**(-34) assuming l is positive.\nAnswer: l**(-37855\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -2*t. Let n be t\/(-6) + 29\/3. Let k(x) = -x + 12. Let c be k(n). Is 4\/3 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 27*w**2. Let d(x) = 42402*x. Determine d(l(k)).\nAnswer: 1144854*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 12*z + 2937 = 2857, -40 = -2*i - 20*z for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5045 less than -116022\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001201404 to 5 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**2 + 3*a**2 + a**2 + 2. Let l be (9\/(-6))\/((-6)\/(-8)). Suppose -261*s + 264*s = 3. Let d(f) = 1. Give l*d(w) + s*q(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)*m*m\/((m\/m**(-3)*m)\/m)*(m\/m**(1\/3))\/(m*m\/((m\/m**(-2))\/m*m)) assuming m is positive.\nAnswer: m**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/348 and 13\/828.\nAnswer: 24012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - 4*g)*(-5*g + 3*g + 21*g + 0*g).\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-5)\/((-60)\/147). Let p = -91\/12 + o. Factor -2*d**2 - p - 6*d**3 + 10\/3*d.\nAnswer: -2*(d + 1)*(3*d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8827)\/14259*6\/(-26)*-3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 3*j + 3. Let z be t(2). Let w(c) = c**3 - 5*c**2 - c - 4. Let m be w(z). Let o(h) = -h**2 - 9*h + 6. Does 6 divide o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 86 = -6*y. Let c(k) = 5*k - 46. Let n be c(y). Solve -n*f = 4 - 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4552128 and -17\/864.\nAnswer: 13656384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/261 and 149\/174.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55182913711*z + 45 - 45 + 55182913715*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.06858997 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1903 and -22\/519?\nAnswer: 5709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s = -22*s - 113*s - 1236 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q + 1. Let j(x) = x**3 - 10*x**2 + 13*x + 19. Let o be j(8). Let d(p) = 6*p + 1. What is o*h(s) + 3*d(s)?\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = 3*c - 20, 3*s + 5*c = 24. Let y = -4 - -5. Suppose 2*k + 3*n - y = 0, 4*k - 2*k - 2*n = 16. Solve -s - 2 = -k*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/21)\/((2*(-5)\/20)\/((-341)\/(-62))).\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 7 = 2*i, 76*y - 2*i + 31 = 113*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - -0.3. Let l = -310 + 2483\/8. Let x = -18 + 18. Which is the third smallest value? (a) x (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = -23*m - 372. Is 43636*((-2)\/8 - 14\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 10:55 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 3)*(-6 - (5 + -2)). Calculate the greatest common factor of l and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-402)\/((-36)\/6) + 1. Let w = n - -60. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.043 * 7.\nAnswer: 0.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37250 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311257861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18*(4 + -2) + -1 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11373985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 3*a - 61.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.787034 to 1 dp.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-4*r + 2*r + 3*r) + 7*r + 2*r + 5*r - 2*r + 3*r + 2*r.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 5*n**2 - n - 5. Give r(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29981520 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 25. Let w be 22\/(21\/7 - 2). Let g = h - w. Solve g*p = p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957933037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from tttyytxyttttyxyty.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 144484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 43. Calculate the remainder when 32 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 18400?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/150 - 13*q**4\/30 + 7*q**3 + 2*q**2 - 1730*q. Factor t(w).\nAnswer: 2*(w - 21)*(w - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seeeeenheeeee. What is prob of sequence eeeh?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbxniunnixuk. Give prob of picking 1 u, 1 x, and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748082 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-1)\/(-2))*(-114)\/(-209)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -19. Let p = y + -24. Let t(j) be the second derivative of j**4\/6 - 7*j**3\/6 + 9*j**2\/2 + 2*j. Let h(c) = c**2 - 3*c + 4. Give p*t(q) + 7*h(q).\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 46*p + 1. Suppose 0 = 4*x - 4*l, -4*x + 2*l - 3 = -5. Let u be w(x). Suppose -22 = -h - 5*g, 5*g + 63 + u = 5*h. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41918\/7 + -5887. Let o = c - 101. Determine u so that 4\/7*u**2 + o - u + 4\/7*u**3 = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120.13728 nanoseconds to minutes.\nAnswer: 0.000000002002288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 84*a**2*g*k*x**3 - 11*a**2*x**3 + a*g*x**3 + 3*k*x**3 - 4*x**3 wrt k?\nAnswer: 84*a**2*g*x**3 + 3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1128\/(-3948) + (2\/40)\/(56\/(-940))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 963*p**5 - 3*p**3 + 3191*p**2 + 6*p. Let g(r) = r**5 - 2*r**2 + r. Let z(o) = -6*g(o) + q(o). What is the third derivative of z(u) wrt u?\nAnswer: 57420*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - s**3 + 0)*(-s + 3*s - s) + (-s**3 - 2*s**3 + 2*s**3)*(-15*s - 4*s - 14*s) to the form h + f*s**4 + l*s**2 + x*s**3 + b*s and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -o + u + 133, -20 = -5*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y + 5. Let u be i(0). Solve 0 = u*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 3. Let b be q(13). Let r be ((-4)\/(b\/(-3)))\/((-1)\/(-56)). Calculate the greatest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.95206 and -120386.\nAnswer: -120395.95206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6317 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - 514908?\nAnswer: -514887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (8 - 4) - (6 + -10 + -10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 96. Suppose -2*j - z + 154 = 0. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -30743171286.\nAnswer: -30743171290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6208729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 2 + 2)*(7 + 8 - 7)*(159*o**2 - 159*o**2 - 17*o**4).\nAnswer: -680*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53222?\nAnswer: 2, 13, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 505 + -483. Solve 5*a + 2 = 2*x, -a - 2*a = 4*x + k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y - 3. Let w be ((-5)\/2)\/(1\/(-2)). Let r(l) = 7 - 3 - 2 - w*l. What is -3*q(b) - 5*r(b)?\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267042 is divided by 5443.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v + 16. Let d be (36\/8 - (-3)\/(-2)) + -10. List the prime factors of h(d).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4449 is divided by 293.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313*k**4 - 3*k**2 + 3282*k wrt k.\nAnswer: 3756*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 4*z**2 + 4*z - 1. Let i(m) = -2*m**2 + 10*m - 5. Let o(s) = -5*s + 24. Let w be o(4). Let k be i(w). Give l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -56. Put 0.4, 2, r in increasing order.\nAnswer: r, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7019033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**3 + 7*r**2 - 8*r + 10. What is the tens digit of y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*k - 4795 + 15263, -8 = r. What is the greatest common factor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34338, -137983, -310724, -552561?\nAnswer: -863494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*h**3*v**3 + h**3*v**2 + 4*h**3*v - 709*h*v + 10*v**4 wrt v.\nAnswer: -504*h**3 + 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8) - 42891\/(-177480).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 15*c + 18 = 0. Factor 0 + 1\/2*l + 1\/2*l**c.\nAnswer: l*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14187?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25*(-2)\/30*-3*(-2)\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2*p**2 + 2\/5*p**5 - 1 + 0*p**4 + 0*p + 0*p**3. What is the second derivative of k(j) wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -448863, -448829, -448799, -448773?\n\"Answer: -2*h**2 + 40*h - 448901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = 2*z. Let w(s) = 6 - 2*s**z + s**2 - 2*s - 2*s. Suppose -6 = -2*c + 4*i, -2*c = 3*i + 12 + 10. Determine w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4) + 12 + -35\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -582*t - 13398. Calculate i(-23).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337.14887*0.8.\nAnswer: 269.719096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42932910?\nAnswer: 2, 3, 5, 1431097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 3757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + o + 16 = 2*o, -x - 3*o - 1 = 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 56*j**2. Let u(q) = 7*q. Calculate u(f(b)).\nAnswer: 392*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3140.4 and 0.5.\nAnswer: 1570.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279 divided by -31.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9485*a + 18970*a - 9485*a - a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + -100. Suppose p - 3*l - 203 = m, -5*p = 3*l + l - 1072. What are the prime factors of p?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17 - -0.31. Let x = -0.04 + s. Which is the nearest to -2? (a) 3 (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 652 + 497851?\nAnswer: 4982a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2117138838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*i + 35. Let t = i + 10. Suppose k + k = 5*h + 11, -t*h - 5*k = 22. Is h at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49048.\nAnswer: 2, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 35.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 2*z**3 + z**4 - 3*z - 2*z**2 - z - 31 + 28 in the form g*z + o + m*z**3 + t*z**4 + d*z**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662429 is divided by 65?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 183 = 3*b, -10*y = -11*y - 4*b + 184. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1184852, 1184853, 1184856, 1184861, 1184868, 1184877, 1184888?\n\"Answer: h**2 - 2*h + 1184853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 1743784?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*(-1265)\/10)\/((-10)\/20) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*k = -377, -1040 - 103 = -3*t + 3*k. Suppose t = 25*c - 20*c. Calculate the highest common divisor of c and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3198814709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 p, 1 s, and 1 f when four letters picked without replacement from {p: 3, s: 3, f: 1, o: 1, z: 4, d: 5}?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m*m\/m**3)*m*m)\/m**(1\/10))\/((m**0*m)\/m)**(-20))**9 assuming m is positive.\nAnswer: m**(261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 6. Let d be h(4). Let u = 255312 - 255312. Solve -d*m - 1 - 1 = u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 6. Calculate the remainder when 18 is divided by a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-45))\/((-3)\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3221313 and 255?\nAnswer: 16106565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 387.9 + -8.9. Let w = 347.6 - l. Let s = w - -27. What is s rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.66 and 0.04.\nAnswer: -0.0664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -41048 smaller than -40343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 3 - 5*h**3 + 3. Let u(x) = -2*x - 13. Let a be u(7). Let l = a + 26. Give z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Let u(m) = 14*m + 12. Let z(j) = 47*j + 39. Let t(o) = 10*u(o) - 3*z(o). Give 2*t(p) + 6*v(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/11)*h**11*(h\/(h\/(h*h**39*h)))**(1\/19) assuming h is positive.\nAnswer: h**(2788\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 89528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 + 0*m + 52 + 2*m + 0*m**4 + 2*m**3 + 3*m**2 + 5*m**2 + 2*m**4 to h*m + n + b*m**2 + u*m**4 + y*m**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 15) to base 10.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 19184 = -4*l + 59868, 2*z = l + 39544. List the prime factors of z.\nAnswer: 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3383 + 37249\/11. Calculate the common denominator of c and -1262*1\/(-78) - (-10)\/65.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.779777 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 588821927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g**(2\/5)*g*g))\/g*g)**(1\/4))**(-49)*((g*g**4)\/g*(g\/g**5)\/g)**(-2\/9) assuming g is positive.\nAnswer: g**(461\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b = -56*b + 144. Suppose 44*d + b = 50*d. Solve 2*o + 5*a - 8 = 3*o, 0 = -d*o - 4*a + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 4*x - 7. Let v(j) = 4*j**2 - 11*j - 20. Let m be ((-21)\/12)\/(1\/4). Let z(l) = m*u(l) + 2*v(l). Find d, given that z(d) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61.8845 + -11.1345. Let t = i - -0.019. Let r = t - -70.1. Round r to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 71 (b) -3 (c) 0.145475 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3831460000 rounded to the nearest 1000000?\nAnswer: 3831000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 62, 70, 82, 98?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 84 + 23 + 59 - 3*a - 2*a. Is h(-24) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294103339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*v**3 - 116*v**3 - 127*v**3.\nAnswer: 31*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 0 - 3)*3\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-324)\/(-56))*65\/(-4160)*-96.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Let k(c) = -c**2 - 35*c - 288. Let h be k(-17). Suppose -18*o + 18 = -h. Solve -26 = -3*r - 4*i, 5*i = -d*r + o*i + 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -4, -1\/30, -38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 + 62 = -42*j. Solve 7*b + 18 + j = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 45 = -3*m, h + 167 = 3*m + 142 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/120 + y**5\/60 - y**4\/8 - y**3\/2 + y**2 - 131*y - 1. Calculate s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3969 divide 784004508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*x - 2138449 = -16*x + 483731. What are the prime factors of x?\nAnswer: 2, 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 + o**2 + 3*o**3)*(-13*o + 10*o - 56*o) to y*o**3 + g*o**4 + n*o + x*o**2 + p and give g.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9388*u = 9228*u + 14240 for u.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 14*b**2 - 4*b + 17. Let n(h) = -h**3 + 25*h**2 - 126*h - 14. Let v be n(18). Give x(v).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*k - 3 - 9, 3*w + 4*k - 100 = 0. Let m(p) = 13 + 15 - w*p + 30*p. Let v be m(-13). Solve -n - v = -0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14*8\/(-12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, q: 8}. Give prob of picking 4 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9331*k - 9330*k - 136 + 419)*(-3 + 1 - 2) to the form t + c*k and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2036, 4090, 6178, 8312, 10504?\n\"Answer: 2*r**3 + 5*r**2 + 2025*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*j = 12, -4*y - 5*j - 1 - 1 = 0. Let g(l) = l**3 - 6*l - 5 + 6*l - 4*l**y. Let b = 125 + -121. Determine g(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -172.75779817 and 142.\nAnswer: -30.75779817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 22201110021?\nAnswer: -22201110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g = 219819 + 341511. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2)\/(9*3\/324*22)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from ssvgggssgsggggssgv.\nAnswer: 63\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {v: 1, d: 1, w: 2, z: 3, s: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552095 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -0.06 (c) 1 (d) -2\/5 (e) -6\/457 (f) 58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3281, 5792, 7541, 8528, 8753, 8216, 6917?\nAnswer: 4856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.334664 millennia in months?\nAnswer: 88015.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 2*i - 3. Suppose 4 = 2*n - 2. Suppose -f = 2 - n. Let s be (2 - f)*(-2)\/1. Calculate v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237727289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abprzir. What is prob of sequence rbrz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*h - 6*s + 18, 4*h + 17 = 3*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2223 + 2224. Sort 2, -13, k in increasing order.\nAnswer: -13, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 153 = -592*a + 588*a, 21*r = -5*a - 290 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*g + 101*g - 28*g - 41*g + 70 in the form q + l*g and give q.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*n**4 + 24875*n**3 - 45565*n**2 + 16885*n + 3900 = 0. What is n?\nAnswer: -3\/19, 1, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1 - 2 + u**3 + 8*u**2 - 10*u - 4. Suppose j + 49 = 5*w, w - 3*j = 5*w - 43. What is the lowest common multiple of x(-9) and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/t**(-3))\/(t**2\/(t*t\/(t\/(t*t**(1\/5))))) assuming t is positive.\nAnswer: t**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/20 - (-8)\/(-40). Let c(l) be the second derivative of 1\/2*l**3 - 3*l + g*l**4 + 0*l**2 + 0. Factor c(d).\nAnswer: 3*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -247 (base 10) to base 13.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1062703 millennia to decades.\nAnswer: 10.62703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = b + 2, 3*b = 3*l - 34 + 46 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.069.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:53 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:53 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -3. Let d be (-1)\/2 + (-18)\/j. Solve 3*k = -5*p + 19, -p + d*p - 21 = 3*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11063035163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 11 = -3*a + 2*m, -4*m = 3*a - 48. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 1 - 1) + -1. Suppose n*f = 4*f - 6. Suppose -5*i = -5, -4*o - f*i + 13 = -2*i. Calculate the remainder when 8 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 1 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w - 712 = 56*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2483\/2 or -1243?\nAnswer: -2483\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7571\/5 + -1509. Let l = g - 5. Determine r so that -l*r**2 - 2\/5*r - 1\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87478 or 87520?\nAnswer: 87520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1192 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*s**3 + 4*s**3 + 0*s**3)*(-5*s - 10*s + 0*s) - 9*s**2 + 9*s**2 - 3*s**4 - 3*s**4 + 0*s + 0*s as t*s**3 + d + f*s**2 + c*s**4 + q*s and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1693? (a) 0.04 (b) 7 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 355*p - 364*p. Let k be (p + (1 - -8))\/2*1. Let -1\/2 + 1\/8*v**k - 5\/8*v**2 + v = 0. What is v?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1783\/372? (a) -2\/11 (b) -1\/6 (c) -3 (d) 2 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -536487 or -536669?\nAnswer: -536487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7359.896 rounded to the nearest ten?\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 + 1829*m**2 - 5*m + 5. Let s(w) = -2*w**3 + 1829*w**2 - 4*w + 4. What is -4*a(v) + 5*s(v)?\nAnswer: -2*v**3 + 1829*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*w - 36, -5*w + 2*w = 4*s - 16. Suppose w*k + 134398 = 30*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 280 + -189. Let d be (2 + 0)*1\/((-4)\/(-26)). What is the greatest common divisor of d and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*m - 35681 + 217. Is 31 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175970 > -1500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -198 + 180.9. Let t = 17 + j. Are -7 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2004955 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19839 plus 1903319334?\nAnswer: 1903339173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**4 + 3*j**4 + 0*j**4)*(-6 + 2*j + 3 - 4*j).\nAnswer: 4*j**5 + 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/6 + 7*j**3\/6 - 3*j**2 + j. Let w be m(-7). Let f = w - 31. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*q + 323*q = -132. Suppose 42*u = q*u - 8. Let n(x) = -x**2 + 6*x + 5. Calculate n(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3021955 and 140765.\nAnswer: 2995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (1 - (1 - 33)). Solve -5*w + 19 + 4 = -2*o, -5*w + g = -5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 0*y + 4*y - y - 2*y + 2*y - 3*y + 0*y + y + (1 + 0 - 2)*(2*y + 3*y - 4*y) + 0 + 0 - 2*y - 6*y + 8*y + 1801 - 1382 + (-2*y - 3 + 3)*(-3 + 2 + 3).\nAnswer: -7*y + 419","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -57. Factor -2\/5*y + 0*y**2 + 1\/5*y**t + 2\/5*y**3 - 1\/5.\nAnswer: (y - 1)*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 4, y: 1, c: 1, i: 1}. Give prob of picking 2 c and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8058 - 5?\nAnswer: -8064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/5 (b) -4 (c) 1\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181525 is divided by 16502.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*f - 58. What is the third derivative of 18*x**3 - 36*x**3 - 28*x**3 - 38*x**3 - 20*x**f wrt x?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82165 + -43769. What is the greatest common divisor of f and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x - p - 791, -245 = -x + 5*p. Let t = -1329\/5 + x. Sort 1, t, 4\/7 in increasing order.\nAnswer: t, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5849 - -5848.91. Which is the closest to -2? (a) 1 (b) h (c) 0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*c + 0*c - c)*(-1 + 0 + 0) + 22*c - 15 + 15 + (-1 - 3 + 2)*(c - 3*c + 0*c) - 2*c - 2*c + 3*c)*(6 - 23 + 48).\nAnswer: 713*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - 135192?\nAnswer: -135208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -1\/120*j**6 + 0 - 37*j**2 - 1\/15*j**5 + 1\/2*j**3 + 0*j + 0*j**4. Calculate w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 26*o - 200 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 30. Let b(c) = -3*c - 11. Let m be b(w). Suppose m = -5*q + 32. Is 5 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(3600)*1 + sqrt(3600) + sqrt(3600)))\/(sqrt(96)\/(6*(sqrt(8) + sqrt(72)))))**2.\nAnswer: 6220800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 50\/400 + 1\/(-8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*r = 4*r + 7, -2*s + 4*r = -10. Let n be (-16)\/24 - 4\/s. Let h be 4*(n + 0\/4 + 3). Let l(a) = a**3 - 4*a**2 + a + 3. What is l(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 16*s + 16*s - 7 in the form r*s + x and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 241502 (base 6) to base 15\nAnswer: 63de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 999195014 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 = -1. Suppose 4*p = 3*p + c. Solve -6*g = -p*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*y + 1887 = -292*y. Calculate the lowest common multiple of y and 39.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59455.\nAnswer: 5, 11, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(0 + sqrt(2448) + -1)**2 + 5.\nAnswer: -4893 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -314*3\/6*-1. Round x to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355 = 13*t - 234 + 134. Solve d - 30 = -5*u, 2*u + 2*u = -3*d + t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/225 and -49\/339.\nAnswer: 25425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100966*-333\nAnswer: -33621678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -108609, -108062, -107515, -106968, -106421?\n\"Answer: 547*y - 109156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-9 - 3) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*y - 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 132, 2\/693, -0.3?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38, 76, 100, 104, 82, 28?\n\"Answer: -j**3 - j**2 + 48*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -407820*o + 367154 wrt o.\nAnswer: -407820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16426 + 457?\nAnswer: 17105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 3182 and 1.\nAnswer: 3183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k - 162. Let p be i(15). Let y(z) be the third derivative of 0 + 1\/12*z**4 + 0*z + 4*z**2 - 1\/240*z**5 - 2\/3*z**p. Factor y(a).\nAnswer: -(a - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let d(x) = -131*x**2 - 4. Let n(b) = -130*b**2 - 4. Let k(m) = -6*d(m) + 5*n(m). Determine o(k(u)).\nAnswer: -136*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 102738 and 102740 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1*-2)\/(13\/(-26)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2356 and 36310083.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -63.4. Sort -0.01, 2\/7, -2\/3, s.\nAnswer: -2\/3, s, -0.01, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(11\/66). Suppose -4*b + a*k - k - 10 = 0, -4*k = -4*b. Is -3 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4480892, -8961776, -13442660, -17923544, -22404428, -26885312?\n\"Answer: -4480884*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -48904b (base 14) to base 11\nAnswer: -1446895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 236744 (base 16) to base 10\nAnswer: 2320196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 1138*n**2 - 10105*n - 505. What is d(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1\/(-6))\/((-731)\/(-8041))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -142 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.5. Let r = 120040 + -120040. Which is the nearest to -1\/3? (a) f (b) 0.9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17\/42 - 1\/6. Which is the third biggest value? (a) 1\/6 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9976075 micrograms to nanograms.\nAnswer: 997.6075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -5)*(1 - 2). Let f be -4*(0 - (c + -3))*409. Suppose 8*l + f = 12*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -211, -2, 157 in descending order.\nAnswer: 157, -2, -78, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 168642.16 rounded to the nearest one thousand?\nAnswer: 169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a millennium in months?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*c**2 - 14*c**2 + 2250*c - 1067*c - 1089*c to f*c**2 + b*c + u and give b.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -71. Suppose 0 = c*b + 5*b - 198. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.4, 6901\/458 in decreasing order.\nAnswer: 6901\/458, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(4)*5)\/(sqrt(7) - 6*-1*sqrt(7)).\nAnswer: 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2628*-56.\nAnswer: -147168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/126548 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n + 47. Let h be r(6). Suppose h = -23*z + 18*z. Which is bigger: z or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 j when three letters picked without replacement from fkfkjkk?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -151523 divided by -298?\nAnswer: 151523\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - ((sqrt(7) - ((sqrt(7)*1 - sqrt(7)) + 0))**2 + sqrt(7)) - (sqrt(7) + sqrt(7) + sqrt(7) + (sqrt(112))**2 + 2)) + sqrt(84)\/sqrt(588) + -1.\nAnswer: -122 - 20*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -25, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + (sqrt(294)*1)\/sqrt(7) - sqrt(42))\/(sqrt(12)\/sqrt(2)*-2) - (sqrt(252) - (sqrt(252) + 3 - sqrt(252)))*4)**2 + 5.\nAnswer: -588*sqrt(7) + 17403\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000403355 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (9 - 7) - (13 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*b + 362, -2*b = 4*j - 3*b - 760. Let m = j - 57. Is 38 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21604 less than -388861\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (10 - (9 - 4 - -6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3 + (-1 + 1 - 2)*(-4 + 5 + 1))*(-4 + 5 - 4)*(-3*w**5 + w**5 + 3*w**3 - 6*w**3).\nAnswer: -18*w**5 - 27*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4 = 0, 47*j = 3*g + 50*j + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193069 + -80702881\/418. Calculate the common denominator of 103\/10 and f.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.266511 times 0.6?\nAnswer: 0.1599066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.71 - 0.51. Are -13\/4 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5153 - 2606 = 9*a + 2*w + 2631, 2*w = 4*a - 84 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 139, 174, 209?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, 193719 in decreasing order.\nAnswer: 193719, 16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023950939893 rounded to five dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15, 12\/7, -0.5, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 + -3)*(15 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 + 4*h**2 + 2*h - 54. Let y(z) = -6*z**3 - z**2 + 4. Give -n(p) - 3*y(p).\nAnswer: 21*p**3 - p**2 - 2*p + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 553.8 + -718. Let n = -164 - v. Which is the nearest to n? (a) -0.5 (b) 1 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 140a577 - 40?\nAnswer: 140a537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20b9 (base 14) to base 9\nAnswer: -7668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.58323 rounded to 1 decimal place?\nAnswer: -122.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 106 + 43 - 5616*y.\nAnswer: -5616*y - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 568 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.4365669 - 5.437. Round c to 5 decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592574.4 millilitres in litres?\nAnswer: 592.5744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 63 = -2*v, 4*f + 57 + 75 = 4*v. Suppose 5*w = 3*g - v, 3*g = -w - 0*w + 4. Suppose -507 = -g*k - 96. What are the prime factors of k?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = 0, b + 229 = 7*m - 2*m. Let t(s) = -103*s - 250. Let j be t(-6). What is the greatest common factor of m and j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 207876*g - 2494944.\nAnswer: 3*(g - 12)*(g + 69304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -0.9. Let l = 732689 + -732688. Sort l, -3, -5, d in increasing order.\nAnswer: -5, -3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 5. Suppose 3*g - 4 = h, 4*g - 3*h + p = 2*h. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*o - 3*o - 68 = 0, -2*m + 12 = -5*o. What is the remainder when 52 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-276)\/46 - (-13)\/(156\/152).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 3510.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 21*y**2 - 39*y + 22. Calculate i(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 5441952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24897 and 11?\nAnswer: 273867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -32. Let h = 19 - p. Suppose 3*n - h*n = -5*l + 34, 5*n = l + 7. What is the least common multiple of 7 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - 5*s + 3*s + (6 - 4 - 3)*(s - 3*s - s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4 = -2, -2*d - 1 = 5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5328614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3063 + 563. Let z be n\/(-8) + (-1)\/(-2). Let h be (6\/(-8))\/(z\/(-24)). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.01, -0.2, 4, 1010595?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48008136 and 18.\nAnswer: 144024408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -48831.7653.\nAnswer: -48831.2653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 3 (c) 2\/9 (d) 1\/45 (e) 0 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*b - 19280, 11*b - 7*b + 7712 = 2*k. Calculate the highest common factor of 32 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1542967297?\nAnswer: 1542967297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 639 + -489. Suppose -141*b - 6246 = -w*b. List the prime factors of b.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1529399 = x, 105*x = 4*m + 107*x - 2039202. Round m to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 166 - 526.3.\nAnswer: -360.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2267*o**2 - 1083*o**2 - 1106*o**2. Let l(u) = 2*u**2. What is i(l(n))?\nAnswer: -17824*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 3*g**6\/5 + 13*g**4\/24 - 4*g**3\/3 + 199*g**2. Find the second derivative of q(f) wrt f.\nAnswer: 432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 78, 19 in decreasing order.\nAnswer: 78, 19, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 112466\/2*(13 - 2). Let t = 2177440 + -496003. Let q = t + h. Round q to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 128085 + 128332 = 0 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 34. Let a = -35 - -38. What is the greatest common divisor of a and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = -5*p + 55, 5*b + 163 = -3*p. Let l = b - -59. Let v be (12\/l)\/((-178)\/(-8)). Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 l when three letters picked without replacement from {d: 15, l: 4}?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*u - 735 = 14*u. Solve -4 = m - u*f, 4*f = 7*m - 4*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 - 104. Suppose -16 = 4*s + 4*j, -4*s - 30 = -g*j - 0*j. Calculate the least common multiple of 4\/(-6) + ((-112)\/s)\/1 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q = 20. Find the first derivative of 1 + 1 + q*n**3 + 0 + 1 wrt n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1644 = u, 5*o - 6570 = -5*u + u. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 + a + 1. Let s be c(-1). Let b = -12 - -4. Let h = -8.3 - b. What is the biggest value in h, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/134275 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261045*d**2 - 26*d + 1103 wrt d.\nAnswer: -522090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16037103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/13 - 72\/39. Let m(w) = 3*w**2 + 3*w. Determine m(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*y = -2571, 2*j + 4*y - 5132 = 7*y. List the prime factors of j.\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 5 + 51*l**3 - l - 9*l**2 - 52*l**3. Let i = 19 + -28. Find the common denominator of a(i) and -32\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46234\/5865 greater than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/271158 and 127\/2543420?\nAnswer: 328101180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21101112 (base 3) to base 9.\nAnswer: -7345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7501.01 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5047.848 months in centuries?\nAnswer: 4.20654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2376*i**2 + 229?\nAnswer: -4752*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 752566917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 3 + -8 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 13*v**2 - 11*v + 6. Calculate y(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11191.98 - -11192. Which is the nearest to -1? (a) -5 (b) q (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, u: 4, n: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/22 and 91\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 3*g + 3*g)*(-16 - 2 + 3) + (-2*g + 1 - 1)*(0 - 1 + 2) + 0*g - 4*g + 2*g as m*g + r and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1109964 and 427.\nAnswer: 47.3954628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25659449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/132 and -29\/2409?\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11857*q - 11856*q + 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*n - 24 = 0, 37*n = -2*r + 40*n + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-77)\/21*(-1)\/(39\/(-9)). Let j = 78 - 80. Which is bigger: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563905071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 times 18.9?\nAnswer: 0.9261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3463757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (0 - (6 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e0ae98 - 11?\nAnswer: e0ae87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*o - 91*o + 5*o**2 - 6*o + 25*o**2 - 17*o.\nAnswer: 30*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by 10?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 35. Let f(x) = 2*x + 23. Let k(y) = -8*f(y) - 5*l(y). Let m be 3\/12 - (-42)\/(-8). Give k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*v + 2*l, -852*v - 3*l + 9 = -856*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3339 is divided by 304.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/18*2*3. Suppose 8 = -f*y - o, -2*o + 0*o + 4 = -2*y. Put y, 5, 2 in decreasing order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/997 < 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(108\/(-5))*30\/50. Let b = 2.02 + -2. Let u be 7 - (0\/1 - -3). Put u, b, q in increasing order.\nAnswer: b, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/8 + 13*288\/(-208) - -11.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.221?\nAnswer: -1.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o)**(-4\/25)*o*(o**(-2\/11)\/o)\/o*o**5*(o**(1\/9)\/o*o*o*o**(-1))**(-10\/17) assuming o is positive.\nAnswer: o**(144436\/42075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osssoooooo. Give prob of sequence ooo.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7*t*t*t\/(t**(1\/8)*t)*t)**(-3\/23) assuming t is positive.\nAnswer: t**(-237\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.56549um in kilometers?\nAnswer: 0.00000001756549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 100, 96, 102, 124, 168, 240, 346, 492?\n\"Answer: o**3 - o**2 - 8*o + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 1319*h**5\/20 - 1189*h**4\/4 - h + 42. What is the third derivative of l(g) wrt g?\nAnswer: 7914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*(((-483)\/(-84) - 7) + -1 + 3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 14 - (-1 + -1 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-5))\/((-29)\/(-5) + -6). Let f be 8\/2 - (-24)\/n. Solve c - 3 + 12 = -4*h, -4*c + 5*h = -f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 4. Suppose -2 = -0*t + 3*t + 4*d, -t = -5*d - 12. Let w = t - 5\/3. Which is the closest to x? (a) w (b) 0.2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1767*k = -2951*k + 36704 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 - 1 + 0*c - 33*c**3 - c - 3*c + 34*c**3. Let z be ((-27)\/6)\/(-3)*(-38)\/(-1). Let i = z + -52. Determine j(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1858965 + 0.4058927. Let j = -2.78 - -3. Let i = j - p. Round i to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, u: 7, z: 2}. What is prob of picking 1 z and 2 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, b: 2}. Give prob of sequence ebbe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62555693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40866.\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18\/63)\/(-4 + 93\/21)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 517345609?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1866 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from papmppzpmpaapmmuzmzu. Give prob of picking 1 a and 1 m.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24107753 (base 8) in base 4?\nAnswer: 110020333223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61291223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3715368, 7430744, 11146132, 14861538, 18576968, 22292428?\n\"Answer: c**3 + 3715369*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 - 1379*n**2\/2 - 236109*n.\nAnswer: -n*(n + 633)*(n + 746)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 1218 (base 11) to base 15\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 1 g when three letters picked without replacement from {d: 2, u: 1, g: 5, p: 12}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, k: 3, d: 2, u: 3}. Give prob of picking 3 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -12*j**3 + 5323*j**2 + 18355*j - 12516 = 0?\nAnswer: -4, 7\/12, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 301 + -291. Suppose -a*c = -o - 14*c + 13, -4*o + 10 = 2*c. Solve 0 = -5*f - o + 11, 3*f = -l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/170536 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 15*h + 9. Let i be k(-4). List the prime factors of -3*(-2)\/(-9)*i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 155\/(-2)*((-1152)\/(-30))\/(-12). Suppose z + 202 = 2*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**6\/120 - 7*y**5\/60 + y**4\/3 - 2*y**3\/3 - 10*y**2 - y. Suppose 3*b + 4*d - 25 = -2, 0 = -4*b - 4*d + 28. Calculate h(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 5269717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtri when four letters picked without replacement from {t: 4, r: 2, i: 10}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/18*(17\/(-2) + 448 + -429)\/(-13)\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1084*g + 23. What is the units digit of t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 112.4?\nAnswer: -56.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 10*d**2 + 6. Let l be a(10). Suppose 2*b = -c + 240, -3*c = -18 + l. Does 28 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 7*w + 11 = -3*w, -4*d + 15 = 5*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 13*x - 42. Let i be p(-18). What is the highest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437025502 - -61.7.\nAnswer: -437025440.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(-5\/2)*v))\/v**(-2))\/((v*v**1)\/(v*(v**0*v)\/v)))\/(((v\/((v**(-1\/3)*v)\/v))\/v)**(-24\/7)*v**(-6)\/((v\/v**(-5))\/v*v)) assuming v is positive.\nAnswer: v**(149\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45459 - 23737. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/16568 and 101\/10.\nAnswer: 82840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 9 = 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y + y + (y + 3 - 3)*(-1 - 1 + 5))*(-28*y**2 - 63*y**2 - 141*y**2).\nAnswer: -1160*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 233*w**3\/6 + 153*w**2 - 365*w. What is the derivative of g(k) wrt k?\nAnswer: 233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199892?\nAnswer: 2, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*i - b - 0, -4*b = -5*i + 21. Let d be 6\/4 + 3\/6. Calculate the highest common divisor of d and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29028.67 tonnes?\nAnswer: 29028670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*p**4 - p**3 + 1 + p + 4*p**3 + 57*p**4 in the form v*p**4 + z*p**3 + l + d*p**2 + f*p and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1348*w - 1358*w - 1350*w - 1281*w + 5334*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 472 = 132. Let h be (-2)\/(-5) - 1071\/c. Suppose -2*x + 3*k - 6*k = -26, -x + h = -5*k. What is the remainder when 48 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, 0.9 in ascending order.\nAnswer: -2, 0, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 8.\nAnswer: 0.4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*(1\/4 - 1). Let v(y) be the second derivative of y**4\/12 - 4*y**3\/3 - 3*y**2 - 5*y. Let j be v(u). Sort j, 4, 1 in increasing order.\nAnswer: 1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66.3 + 70. Let a = 0.3 + m. Put 2\/7, a, -3\/2 in decreasing order.\nAnswer: a, 2\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksxspskpxxqrskr. What is prob of picking 1 r, 1 x, and 1 p?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose 3*x + h = -3. Let d be 34\/6 - x\/(-3). Solve 2*t - t = -2*m + d, 0 = -3*m - 3*t + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10554 divided by -5277.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 2 - 2 + (-4*o + 2*o - 5*o)*(-9 + 46*o + 7 - 18*o) as d*o**2 + q + y*o and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-18))**(-9)*n**(11\/5)\/(n*n**(-28)) assuming n is positive.\nAnswer: n**(956\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 9. Let x be s(-9). Suppose x = c + c - 76. Suppose -5*h - 10 + 0 = 0, 0 = -2*o - 3*h + c. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015 less than -6829.17737688?\nAnswer: -6829.19237688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - d + 1. Let j(v) = -2*v + 4 - 3*v**2 + 9*v**2 - 2. Give 4*j(s) - 7*r(s).\nAnswer: 3*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 197.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijijxjjkii. What is prob of sequence kxki?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -12 (c) 2\/21 (d) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 25.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1725404, -1725434, -1725464?\n\"Answer: -30*t - 1725374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18098.\nAnswer: 2, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100252191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*6\/(-18)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3102 and 2153535.\nAnswer: 2153535.3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 19 + 1 = 0. Let z be (p\/(-26))\/(2 + -4). Sort 1\/4, 5, z in decreasing order.\nAnswer: 5, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6850\/2740*((-3)\/24 + (-2)\/(36400\/(-2595)))?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + i - 13 = 0, 3*y + 2*y - 19 = -3*i. Let j(c) be the third derivative of 15*c**3 - 5\/4*c**4 + 1\/24*c**5 + 0 + 0*c - c**y. Let j(x) = 0. What is x?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117824063 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 72, -4 in decreasing order.\nAnswer: 72, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -406944 divided by 67824\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -206, -1492, -3634, -6614, -10414, -15016, -20402?\n\"Answer: 3*u**3 - 446*u**2 + 31*u + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 412*k - 291. What are the prime factors of p(11)?\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/33*3\/2. What are the prime factors of (-3)\/(3\/(a - 11))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c + 1. Let n be l(-3). Suppose 0 = -5*h + 2*b + 14, 0*h - 8 = -5*h - b. Suppose 0 = 5*k + 2*z - 50, -h*k = 7*z - z - 20. Is k != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - 27*z - 7*z**3 + 25*z - z**4 - 4*z**2 + 2 to t*z**2 + i + o*z**4 + n*z**3 + a*z and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 5, y: 4}. What is prob of picking 2 l and 1 y?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 - (2 + -7) - (97 - 106)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 - 100. Suppose 9 = 19*i - 10*i. Which is the third smallest value? (a) i (b) o (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 > 2\/507867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 22*r - 13*r - 23*r - 6*r + 15*r.\nAnswer: -49*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 - 80 = -13*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - (-38)\/(-4). Let d be -2*(-3)\/o*6. Sort -3, 2, d.\nAnswer: d, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*i - 341 = -3*i, -356 = 2*n + 4*i. Let f be (-5)\/(45\/n) - (-8)\/(-12). Let u be 8\/(-2)*9\/(-12). Solve 2*v - f = 3*y - u, 0 = 3*v - y - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/151? (a) -1\/8 (b) -1203 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1385*o + 5. Let b be (-2)\/((12\/(-39))\/2). Let z be y(b). Round z to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1042927.\nAnswer: -521463.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122067 and 2430243?\nAnswer: 26732673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + r - 5 = 0, -b = b - 4*r - 20. Suppose 5300004 = -5*w + 3*t - t, w + 1060008 = b*t. What is w rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, h: 6}. What is prob of picking 4 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*f**3 + 55*f**3 - 41 + 53*f**3.\nAnswer: 14*f**3 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6939, 7006, 7119, 7278, 7483?\n\"Answer: 23*l**2 - 2*l + 6918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 43. Factor -2*z**2 + 0*z**2 - 5*z + t - 19*z - 2*z**2 + 24*z**3.\nAnswer: 4*(z - 1)*(z + 1)*(6*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 3. Suppose 10*d = 5*d - 5*i + 35, -i - 25 = -3*d. Let j(g) = -6*g + 9. Determine d*u(l) - 3*j(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1027 - -1462. Suppose 542 = 2*t - 5*i, i - 518 = 196*t - 198*t. What is the greatest common factor of t and n?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0447292 + -36062264.\nAnswer: -36062263.9552708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 2889700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**2*v + 2308*j**2 + 17*v - 275 wrt j?\nAnswer: -2*j*v + 4616*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/5, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6504 and -101\/35772?\nAnswer: 71544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpp when three letters picked without replacement from {x: 7, f: 2, p: 6, w: 3, j: 1}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + 6*(5*(-1 + sqrt(1700) + 2) + -6*(1 + sqrt(1700)) + sqrt(1700) + 4))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13209*n**4 - 2796 wrt n.\nAnswer: 52836*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -58*k. Let p(o) = -7050*o**2 - 1. Give y(p(m)).\nAnswer: 408900*m**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from kxkwiex?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72612 is divided by 3023?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 10.618533?\nAnswer: -11.618533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/423 and 3\/10?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-3 + (-8)\/(-20)). What is the closest to 1 in -3, f, 2\/17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52331187 to the nearest integer?\nAnswer: 7234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504*r = 514*r - 1662370. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, 63, 134, 233?\n\"Answer: 14*j**2 + j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 20. Suppose -3*j = 2*s - b*s - 18, -2*j - 2*s = 2. Let t = j - -1. Solve -16 = -k - t*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose 2*d = -5*x, 3*x - 4*d + f*d + 11 = 0. Let m = x + 4. Put 1, m, -3 in increasing order.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 4797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3841001.25 rounded to the nearest one hundred?\nAnswer: -3841000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330864204?\nAnswer: 2, 3, 11, 2506547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 6:27 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2222 + 2*p + 1116 + 1106.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19018 by 2.\nAnswer: 9509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 - 128746*r + 12431649387.\nAnswer: (r - 193119)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Let a be l(2). Let y = 1677 - 2711. Let p be a + (2 + -4 - y). Round p to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5694.\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (12500\/(-4) - (1 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 54*n. Let o(w) = -11*w. Let m(u) = 14*o(u) + 3*x(u). Let v(k) = -16*k**2 + 6*k**2 + 13*k**2. What is v(m(t))?\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 549*c - 2765. Determine r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 3*a - 6*a)*(2 + 3 - 4).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/4 of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3026, 6120, 9214?\n\"Answer: 3094*y - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -53 (b) -2 (c) 17 (d) 0.5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/3, 1653, 892?\nAnswer: 1653","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 272*p - 1582. Calculate the remainder when 461 is divided by w(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 6*y + 3. Let f be d(-5). Suppose -27*p = 5*c - 30*p - 25, 2*c + 16 = -4*p. Calculate the highest common factor of f and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24095232 divided by -191232\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 186780?\nAnswer: 373560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 75682 <= 75676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + f**2 + 4. Let m(t) = -3*t**3 - 2*t**2 - 7. Give -4*m(u) - 7*y(u).\nAnswer: -2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**6\/30 - 693*y**5\/10 + y**4\/6 - 218*y**2 + 2*y - 2906. Find the third derivative of c(n) wrt n.\nAnswer: -24*n - 8316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*s + 948*s + 301*s + 387*s**2 wrt s.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106.64 - 107. Let b = k + -1.13. Let r = b + 1.711. What is r rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p + 10. Let f be (p + 3)\/(2\/6). Suppose -3*i - i - f*t + 63 = 0, -5*i + 79 = 4*t. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4830 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:01 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 2376175.\nAnswer: -33\/2376175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -0.4, -0.8 in descending order.\nAnswer: 79, -0.4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, p: 6, z: 3, c: 5, w: 1, r: 1}. What is prob of picking 1 c and 2 z?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 13*z**2 - 3*z - 18. Let t be w(-13). Suppose 18*n - t*n = -12. Is 382 + -5 + n + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(sqrt(931) + sqrt(931) + 2 + sqrt(38)\/sqrt(72))**2)*-3 + -4.\nAnswer: -137611\/12 - 170*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1575, 1521, 1471, 1425, 1383?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4) + 299\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 55. Solve 5*u**g + 6*u + 11*u + 43*u = 0 for u.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 = 3*q - 0*q, 3*q - 15 = -k. Calculate the common denominator of (-114)\/20*8\/q and (-2980)\/(-90)*((-11)\/4 + 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/10 (b) 0.5 (c) -2\/7 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/35742 and 19\/527620.\nAnswer: 11080020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -281 + 284. What is the first derivative of 61*w - 77*w**d - 61*w + w**3 + 17 wrt w?\nAnswer: -228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6952481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 6, 13*t - 8*t + j = 12. Let b(n) = 5*n - 7*n + 5*n + t*n + 10 + 0*n. Give b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*a, -6*c + 3*c = 2*a. Suppose c*m = -0*m + 2*m. Are m and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l + 3*l - l)*(4*l - 3*l - 3*l) + 2*l**2 - 3*l**2 - l**2 - l**2 - l**2 + 4*l**2 - 22*l**2 + 25*l**2 - l - 50*l**2)*(3*l - 4*l + 3*l).\nAnswer: -98*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/19, -0.06, 4\/7, -28, -14.626, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -9. What is the remainder when 41 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(7\/(-10)) + -5. Let s(i) be the second derivative of 1\/165*i**6 + 0 + 4*i - 3\/110*i**l + 0*i**2 - 1\/33*i**3 + 1\/22*i**4. Solve s(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 (base 12) in base 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -1\/2*c**3 + 0*c**5 + 0 - 3*c + 0*c**2 + 1\/14*c**7 - 1\/2*c**4 + 1\/5*c**6. Factor s(k).\nAnswer: 3*k*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 8 = -5*y - 83, 0 = -4*c + 5*y + 58. Let b = 24 - c. Let w(u) = u**3 - 8*u**2 + 6*u - 2. What is w(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*o = 1, -19*a + 2 = -16*a - 5*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29, -2\/5, -0.3, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*l = 128, r = 3*l + 37 - 9. What is the remainder when r is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2093913 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1266*g + 1900*g - 985*g + 3210*g as r*g + q and give r.\nAnswer: 5391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z - 8 = 0. Let g be (4\/12)\/(z\/(-204)). Suppose -3 - g = 4*s, 2159975 = -3*r + 5*s. What is r rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = -i, 0 = -5*i - 5*c - 6 + 1. Let r(z) = 4*z**2 - 3*z + 1. What is the lowest common multiple of 27 and r(i)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 x, 1 i, and 1 e when four letters picked without replacement from xzzizzxxzzzzxzzxe.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 383895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*3*6)\/sqrt(12) + ((sqrt(700) + 3)*-6 - sqrt(700)).\nAnswer: -52*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*b + 121*b - 27*b - 29*b - 33*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m**2 + 2 + 50*m**2 - 3. Let l be t(1). Suppose 3*p = -4*w + l, w + 55 = 4*p + 2*w. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 (base 9) in base 7?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -2*z. Suppose z = -4*i - 3 + 7. Differentiate 2*p**4 - p**4 - i + 4 wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 3*y**4 + 2*y - 17*y**4 + 165*y**3 + 399*y**3 + 16*y**4 + (y**3 + 0*y**3 + y**3)*(2*y + 4 - 4) as o*y**4 + w + d*y**2 + s*y + u*y**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(2\/49))**(-8\/3)\/((w**(-2\/5)*w*w*w**(3\/8))\/((w**0*w)\/w)**(-4\/5)) assuming w is positive.\nAnswer: w**(-79\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-6))\/((-13)\/(-13)). Let v = -0.89 + -0.01. What is the third smallest value in v, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -176496?\nAnswer: -176496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.99*1\nAnswer: -1.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.32584678 plus 14291?\nAnswer: 14208.67415322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 506 + 7 - (0 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n - 6. Suppose 1730 + 202 = 23*g. Calculate the remainder when g is divided by b(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.3 - 12. Let k = -0.14 + o. Let n = -0.26 + k. Which is the closest to n? (a) 0.5 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 15*n - 16. Let w(k) = -k**3 - 7*k**2 - 3*k - 10. Let g be w(-7). What is the tens digit of c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -17. Let l be (4\/r)\/(1\/(-8)). Suppose -l*s - 6*p + 76 = -2*p, -4*p + 16 = 0. Solve 3 = b + 5*z, 2*z = 5*b - 2*z - s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 1\/6*n**3 + 0*n - 1\/4*n**4 + 0 + 91*n**2. What is o(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 18\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 841568 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*g + 10. Suppose -g*m - 1 + 11 = 0. Solve m*a = -3*z - 12, z + z = -4*a - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/45 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/5, -2\/7, -14\/3, 2\/11 in decreasing order.\nAnswer: 2\/11, -1\/5, -2\/7, -1, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j**2 - 9*j - 29. Calculate v(6).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -44\/2759?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31205617 to the nearest integer?\nAnswer: 5586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + -7)*5\/2. Let z = -60 - d. Let x = -23 - z. What is the highest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 2*f**2 + 5*f**2)*(4 + 5 - 5)*(-25 + 551*f + 22 + 3).\nAnswer: 4408*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let b be p(5). Suppose 5*w - b = -0. Let x(n) = n - w + n + n. What is x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 + z**3 + 0*z**3 + 6 - z**2 in the form o*z**2 + f*z**3 + s*z + x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Let j = 5 - 5. Let i = j - q. Let p(m) = -2*m**2 - 2*m. What is p(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(125) + -1 - sqrt(125)))**2 - ((sqrt(120) + sqrt(30))\/sqrt(6) + -3).\nAnswer: -3*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*s - 6209456 = 872761. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10021202112 (base 3) in base 2?\nAnswer: -1111110011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r - 9 = 58*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/44 + 163\/11. Suppose w*y - 11*y = -112. Round y to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84226.66ml to litres.\nAnswer: 84.22666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3765*a - 407 + 12*a**2 + 3765*a + 9*a**2 wrt a?\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 42, 60, 78?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - 110?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18963758*l**3 + 3*l**2 - 525026 wrt l.\nAnswer: -113782548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d**2 + 84*d - 1873. Let u(a) = 4*a**2 - 46*a + 936. Give -6*h(n) - 11*u(n).\nAnswer: -2*n**2 + 2*n + 942","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23\/248, 4\/67, 7?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1500\/228375)\/(100\/(-150)).\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p + 79 = 0. Let g = p - 54. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 106 = 4*f + 26, f = -2*j + 30. Let z = 216 - f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/30)\/((288\/45)\/(-8)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 5*a - 3. Let k = -27 + 27. Suppose 6*o - 7*o + 6 = k. What is the remainder when l(-3) is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p + 140. Calculate i(17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - 10*s + 1. Suppose -14*p + 12*p + 8 = 0. Let r be ((-2)\/p)\/(2\/(-20)). What is the units digit of z(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r - 9*r**2 + 0*r**2 + 1 + r**3 - 2*r. List the prime factors of d(10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 12*r**2 - 2*r - 5. Determine a(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*j + 29, -2*k + 0 = 2*j + 2. Let f be (-2 - (-11)\/k)*20. Suppose 2*x = d + 2*d + f, 2*x - 5*d = 25. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqq when three letters picked without replacement from {v: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46.66 + 47. Let l = -0.3398 + d. What is l rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -340, -405?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 138*g + 91*g = 34, a + 4*a + g - 110 = 6*g for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4737 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1055 in -1.47, 1\/7, 21?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1735279, -1735280, -1735281, -1735282?\nAnswer: -1735283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 1:25 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -841, -2625, -5745, -10561, -17433, -26721, -38785?\nAnswer: -53985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/5)\/((-12)\/15). Let z = -8993 - -8997. Which is the third smallest value? (a) -3 (b) v (c) -0.37 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-110) - (-1208)\/11. Let a be ((-3)\/(-6))\/(11\/o). Suppose 4*s - 3*u - 54 = 0, -4*s + 32 + 6 = a*u. What is the highest common factor of 42 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1772*f**2 + 91*f*l**2 - f + 44*l**2 + 1574*l wrt f.\nAnswer: 3544*f + 91*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*r = 28*r + 11*r - 202. Solve 91 - 97 = r*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38586760350 - 162.12?\nAnswer: 38586760187.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 248. Let r(u) = -47*u - 2. What is y(r(h))?\nAnswer: 6627*h**2 + 564*h + 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - 29*s**2 + 48*s + 1. Let w be f(-16). Let b(n) = n**3 + n**2 - 1. Let i(v) = 3*v**3 + 5*v**2 - 8. What is w*i(y) - 5*b(y)?\nAnswer: -2*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429357 = 59*s - 53007 + 410710. What is s rounded to the nearest one hundred?\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/120 + 2*f**5\/15 - 5*f**4\/24 + f**3\/3 - 4*f**2. Let w be k(7). Suppose -w*m - 138 = -18*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -1 (c) 1\/5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -315.58 to 0 dps.\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 6*r + 10. Let z(c) = -6 + 7*c**2 - c**3 + 0*c**r - 6*c**2. Determine z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/120 - y**5\/6 - 7*y**4\/8 - 2*y**2 + 42*y. Factor g(n).\nAnswer: -n*(n + 3)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399*v + 12880 - 59047 = 0 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -2, -2\/9, -2213?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7285*f**2 - 20389*f**2 - 40989*f**2.\nAnswer: -54093*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/3*n**3 + 2\/3*n**2 + 2\/3*n**4 + 0*n.\nAnswer: 2*n**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.507219 litres in millilitres?\nAnswer: 6507.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7214184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 2*r = -25*r + 64 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -50. Suppose -4*w + 28 = 2*s, 2*s + 12 - 44 = -5*w. What is the remainder when v is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -4. Let x be -10 - m - 1*-1. Let u be (4\/20)\/(x - 1). What is the closest to 0 in 5, u, -7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 1 z when three letters picked without replacement from atlatlazall?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (244\/(-1342))\/(6*(-1)\/(-12)) - (-162)\/143.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u - 5*u + 6 + 4*u + (2*u + 2*u - 2*u)*(3 + 0 - 4) + (5*u - 3*u - u)*(-1 + 2 + 0) in the form g + q*u and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64399762 a multiple of 859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from lqlqlq?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = -4*c + 4*r + 168, -2*c + 84 = -2*r. Suppose c = -5*l + 187. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3 - 20901*x**2 - 188018*x + 208920 = 0 for x.\nAnswer: -20892, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(648) - sqrt(18))\/(sqrt(864) - (1*sqrt(864) - sqrt(864))).\nAnswer: -7*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/774 and 17\/774.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + 1 - 41) + -30.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011111 (base 2) to base 12.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - j - 2. Let y be z(0). Let d be (y\/(-4) - 0)*14. What is the derivative of -2*m**4 - d*m**3 + 7*m**3 + 2 wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q + 12 = -30*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23359564 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203782142*w**5 + 297172354*w**2 wrt w?\nAnswer: -12226928520*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11495*v**2 - 81*v - 82. What is the tens digit of q(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (1*sqrt(130)*-2 - sqrt(130)) + sqrt(130))\/(sqrt(270)\/sqrt(3)) + (5*sqrt(117)*5)**2 + 0.\nAnswer: -sqrt(13)\/3 + 73125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(300) - sqrt(300)*1))\/(2*(sqrt(48) - sqrt(12))))\/(sqrt(35)\/sqrt(7)*1 + -2*sqrt(5)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1932 - 1860. Calculate the least common multiple of n and 168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 373 - 2612\/7. Which is the nearest to -1? (a) v (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*1*sqrt(162) - (sqrt(162) + -1 + -1 + sqrt(162) + (-1 + sqrt(162))*-6))**2 + 2.\nAnswer: -1440*sqrt(2) + 64818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(250)*-4)\/(-4*sqrt(128)) + -2)**2 + 4.\nAnswer: -25*sqrt(5)\/4 + 1981\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 6*z**2 + 9*z - 34*z - 5*z**2.\nAnswer: -9*z**2 - 25*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1512)\/(-840) + 22\/(-10). Let x = 0.8 - 0.3. What is the nearest to -2 in s, x, -0.03?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1512))\/((sqrt(6) - sqrt(54))*-1 + sqrt(6) + sqrt(6)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 3*l**3 + 0*l**3)*(0*l - l + 3*l) + 3274 - 6*l**4 + 4*l**4 + 6*l**2 - 3087 - 3*l + 3*l - 2*l**4 + 0 + 0 - l**4 + (3*l + 2*l**3 - 3*l)*(3 - 3 - l).\nAnswer: -11*l**4 + 6*l**2 + 187","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjcpcpjprpccccppjpp. What is prob of sequence cjjp?\nAnswer: 9\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10142424 + 21221?\nAnswer: -10121203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 340183973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 3. Let i be z(3). Let d(l) = l**3 + l**2 + l + 6. Let u be d(i). Solve 5*a + 1 = u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + ((sqrt(15) - (sqrt(15) + sqrt(60)\/sqrt(4)))*-3)\/sqrt(5)).\nAnswer: 12 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/1127? (a) 3 (b) -14\/3 (c) -0.04 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*l + 86. Is -24 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081118 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/5)*j*j)\/j*j)\/(j\/(j*j**(-2\/13)*j)*j))**(-3)*(j**0)**(-43)*(j\/((j\/(j*j\/j**0))\/j))**(-9) assuming j is positive.\nAnswer: j**(-1998\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 5. Let c(d) = -3*d - 11. Let x(a) = -c(a) - 2*u(a). Let f(z) = -24*z**2 + 48*z - 48. What is f(y) + 48*x(y)?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 12*m - 160. Let o be a(-21). Suppose 6 = 5*y - 19, -82 = -3*u + y. What is the greatest common factor of u and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10661 (base 7) to base 8\nAnswer: -5262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*r - 4*r. Let n be (-96)\/(-80)*5\/2. Factor 14*q**2 + 9*q**4 + 6*q + r*q**3 - 2*q**5 + 4*q**5 - 4*q**n + 1.\nAnswer: (q + 1)**4*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0989 + 14.5941\nAnswer: 14.4952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 96*v**2 - 7*v**3 + 5*v**3 + 3*v**3 + 1 as n + r*v**2 + y*v**3 + w*v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 10*v - 5. Suppose -3*t - 3*u = -45, -2*t - u = -4 - 22. What is the units digit of x(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 395013513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412 + 404 - (4 + (1 - 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.1, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376640 is divided by 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.21 and 3.64.\nAnswer: 0.7644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917 a factor of 627253902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 5) to base 10\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/9 + 2782*x**2\/9 - 202090*x\/9 + 1193150\/3 = 0.\nAnswer: -1461, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1)*(21*j + 60*j + 114*j)*(-3*j**3 + 6*j**3 + 6*j**3) to r + g*j + a*j**4 + h*j**3 + m*j**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05729 to 3 dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -2387*o**5\/5 + 747*o**2 + 1042. What is the second derivative of w(m) wrt m?\nAnswer: -28644*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131123.\nAnswer: 23, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 66 + 354 = 0. Let l be (b\/90)\/((-4)\/630). Find u, given that -3*u**2 + l - 126 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-12))\/(7 - (-222)\/(-54)). What is the nearest to -1 in -5, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 30*y**2 + 211*y - 208. Let a be n(-15). Solve 8\/5*m - 12\/5*m**a + 4\/5*m**3 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -299 - -298.749. What is the smallest value in q, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -303*w**4 - 176*w**3 - 22*w**2 - 891*w + 1.\nAnswer: -7272*w - 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*((-4*z + z**2 + 4*z)*(3*z**2 + z**3 - 3*z**2) + 10*z**5 + 288 - 288).\nAnswer: -11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/4 + 1\/4. What is the biggest value in -4, d, -2, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f - 123. Let g(j) = 2*j. Give t(g(b)).\nAnswer: -8*b - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -435 + 444. Suppose 3*j + a = 2*o + 23, 2*j + 2*o + 4 = 0. What is the smallest value in 3, j, -8, 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*p**4 + 3*p + 4*p - 4*p - p wrt p?\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -145*t - 13970. Let o be u(-110). What is the highest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 2464.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*g**3 - 1304 + 1304.\nAnswer: -58*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-78 - -74)*((-3)\/312 + 0)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 11*t**2 + 11*t + 14. Let m be x(-10). Suppose m*r = -r. Solve r = a + a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11928*p**5 + 6 + 0 - 11952*p**5 + (-p + 4*p - 2*p)*(3*p**4 - 2*p**4 + 2*p**4).\nAnswer: -21*p**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14620 and 5504?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f**3 - 3 + 26*f**3 + 56*f**3.\nAnswer: 53*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:31 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 56289.83.\nAnswer: 112579.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/14 and (-93)\/(-75) + 16\/((-96)\/9).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n**2 + 7*n + 18. Let f be k(6). Let z = f + -223. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 978 divided by 163\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-2))\/((-2)\/(-9)))\/((-71280)\/665280).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2877643, 2877674, 2877703, 2877730, 2877755, 2877778, 2877799?\n\"Answer: -l**2 + 34*l + 2877610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -25, -0.0848, -2.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeuu when four letters picked without replacement from uueuuueu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 239977077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 1)\/((-12)\/(-8)). Suppose -2*u - u - 41 = -5*p, 9 = 3*u. Suppose q - 4*a - 21 = 0, 2*q + 5*a + p = -0*q. Sort q, 0, s.\nAnswer: 0, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1890 and 157\/2272662.\nAnswer: 34089930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhbhhhhbbhbh. What is prob of sequence hbb?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 2. Suppose 0*g + 8*g = 80. Let y(x) = 3*x**2 + 5. Calculate g*z(t) + 4*y(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.42 + 1.58. Is z not equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2044787053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((-30)\/27 + 1). Is -1 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 1. Let u = 41 - 46. Calculate t(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:04 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 13*s. Let v be (75\/(-10))\/5*2\/(-3). Let i be (-12)\/18 - (-11)\/3*v. Let p(r) = -i*r - r - 2*r + 5*r. What is p(j(q))?\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 2*z + 26. Let b(f) = -10*f**2 - 7*f - 78. Let r(v) = -2*b(v) - 7*i(v). Determine r(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/5)\/(o*o**(1\/6)) assuming o is positive.\nAnswer: o**(-41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y. Let p(b) = 3*b**2 - 3*b + 1. Let k(j) = 2*p(j) - 5*u(j). Let g be k(0). Let v be 32\/12*3\/g. Is v greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 18 - (13 - (-10 - (0 - 19)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2\/2 + 1077233*w\/2 + 538617 = 0.\nAnswer: -1, 1077234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 243912204.\nAnswer: 97564881.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 31*s - 7 + 3 = 0, 4*s = 2*h + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -564 + 5e?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-8 + 6\/((-648)\/(-858))). Sort -2\/3, 0.3, f, 3.6 in decreasing order.\nAnswer: 3.6, 0.3, f, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2\/5 - 6126*i\/5 + 740331\/5 = 0 for i.\nAnswer: 129, 1913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**4 - l**3 - l + 1. Let w(h) = 75*h**4 + 4*h**3 + 4*h + 83. Let a(c) = -4*o(c) - w(c). Differentiate a(n) wrt n.\nAnswer: -316*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -287*y**5\/4 - 4*y**3\/3 - 4*y**2 + 2*y. Let x be (1\/1)\/(10\/(-60)). Let b be v(x). What is b rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -186*g**4 + 6*g**2 - 6*g + 949. Let t(k) = k**2 - k + 2. Let n(d) = 6*t(d) - z(d). Differentiate n(r) wrt r.\nAnswer: 744*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b - 1. Let y be x(1). Suppose -5*p - 3*d + 23 = -11, -2*p = d - y. Suppose -2*f + p = -3. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 260 or 257?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 58*k = 329 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(6)\/(-2*-1*sqrt(3)) + ((sqrt(320) + sqrt(20))*6)\/(sqrt(1210)*-2).\nAnswer: -4*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 9. What is the second derivative of -2*j**5 - 5*j**5 + 4*j**5 + m*j + 5*j**5 wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*(sqrt(35)\/sqrt(5))**2*5.\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2874 - -12492. What are the prime factors of o?\nAnswer: 2, 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1354*i + 5483 - 20377 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3508.144 rounded to the nearest integer?\nAnswer: 3508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10*h**2 - 38*h + 49. Let y be x(-13). Let l = 2034 + y. List the prime factors of l.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**5 - d**5 - d**5)*(357 - 253 - 2805 + 44).\nAnswer: -2657*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41343.8 and 0.088.\nAnswer: 41343.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*j**3 + 64*j**3 - 36*j**3)*(-2*j - j + j).\nAnswer: 28*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -18. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 3, 0, 0.01, -7\/6 in increasing order.\nAnswer: -7\/6, 0, 0.01, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 121335*o - 50. Let k be t(8). Suppose -k = f + 539370. What is f rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -246027.55 to the nearest ten.\nAnswer: -246030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8623*o**3 - 8*o**2 + 110*o - 287368984 wrt o.\nAnswer: -25869*o**2 - 16*o + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2923 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*k + 9 + 36 = 0, -4*k + 66 = -5*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -10. Let m = -12.09 + q. Let v be (-20 - -14)*(-5)\/6. Which is the biggest value? (a) v (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3344 - -434?\nAnswer: 4333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o - 59*o - 2*z + 50 = -116*o, 0 = 2*o + 6*z - 0 + 6 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 36789 - 5301 = 30*u. Does 118 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 0*i**3 + 5\/2*i**2 - 1\/2*i**6 + 0*i - 4 + 0*i**4 + 0*i**5. What is the second derivative of c(m) wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(12\/13)*o)\/(o**33*o)*o**(6\/17)\/o*o*o*o*o\/(o\/o**(-2)) assuming o is positive.\nAnswer: o**(-7011\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/40*5 - 2)*-3. Which is the fourth biggest value? (a) 24 (b) -1 (c) 0 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.1, -0.2, 2\/13, 1\/4 in increasing order.\nAnswer: -0.2, 2\/13, 1\/4, 11.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9297 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 9:30 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - sqrt(152)*2)*2*-6)\/(((sqrt(32)\/sqrt(2) + sqrt(16) + sqrt(16))*-6)\/sqrt(2)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540290?\nAnswer: 2, 5, 97, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 61540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 71?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/(-6))\/(6\/4). Solve 0 = r*b + 3*w + 2*w - 9, -2*b + 6 = w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b - 480. Calculate o(-37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -481, 4, -0.1 in decreasing order.\nAnswer: 4, -0.1, -481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -10*v**2. Let r = 1031 - 1031. Let p(z) be the third derivative of -1\/60*z**5 - 7*z**2 + 0*z + 0*z**4 + r*z**3 + 0. Calculate q(p(y)).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -27*c - 2. Let n(p) = 1000*p + 75. Let x = 2649 + -2651. What is x*n(b) - 75*y(b)?\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -7*c**5\/120 - c**4\/8 + 190*c**3\/3 + 99. Let v(k) be the third derivative of q(k). Determine v(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -0.0533\nAnswer: 1.0533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2))\/f)**(2\/49)\/(f*f**(-4\/9)*f**(-1\/7)) assuming f is positive.\nAnswer: f**(-146\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, 0.01, -0.055787, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14265 and 36261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(18)\/(sqrt(60)\/sqrt(10))))**2.\nAnswer: -96*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*h = -27, -3*g + 24*h - 3 = 27*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 3\/1)*-29 is divided by 5\/(-2)*22\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 8 = -9*t + 4*s, -2*t + 10 = 2*s. Suppose -4*o - 5*h = 0, o = -o - 4*h. Let q be 0 + -1 + o + 6. Solve -q*y + 28 = -4*b, -2*y - 4 = 5*b - t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1 - -328)*1. Suppose c - 4 - 1 = 0. Suppose -2*k - 16 = -z + 57, -k - u = -c*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22391 + 22391 - 712*h)*(-8 + 8 - 23).\nAnswer: 16376*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Let a be (-28)\/3 - 2\/(-6). Let z = -3 - a. Let t(n) = 2 - 2 + z*n - 3*n. Calculate t(r(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -249 - -171. Let o be (-8)\/10 - y\/35. Let n be ((-3)\/(-2))\/(-3)*0. Which is greater: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (-3*-2*(-1 + sqrt(405) + 1) + 0)**2)*-4.\nAnswer: -58320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 434179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*t**3 + 752*t**2\/3 + 595*t\/3 - 289\/3 = 0. What is t?\nAnswer: -17\/8, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4384965 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423268 by 14.\nAnswer: 211634\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 589 and 186?\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3*1\/6*-9*(-338)\/(-117).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19093 - 1275*f - 1014*f - 19093 - 4*f + 2*f + f + (f - f - f)*(3 - 3 + 1) - 7*f + 2*f + 3*f + 3*f + 2*f - 6*f - f + f + f.\nAnswer: -2293*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.93 + 0.07. Let d = 0.007265868 + -7.007266168. Let o = v + d. Round o to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*q = 12539 - 12543, 0 = -r - q - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38810 - -147969. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 3. Let y be h(-5). List the prime factors of -1*y - (-3 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369435 divided by 73887.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 - (-3 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -4 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*p**3*x - 108*b*p**2*x - 3*b*p*x + 157*b*p + 62*p**3 wrt x.\nAnswer: 4*b*p**3 - 108*b*p**2 - 3*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0751 * -0.1.\nAnswer: 0.00751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y**2 + 5*y + 5. Let b(q) = 20*q**2 - 12*q - 12. Give -12*a(o) - 5*b(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 13*y + 3017 = 0. Let m = -3883\/9 + y. Suppose v = 4*v. Is v at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3.04938 and 369 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 9) in base 13?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -274 + 56?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 569e - -d?\nAnswer: 56ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4 - 6. What is the units digit of (48\/10)\/(t\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -726, -1086, -1446, -1806, -2166?\nAnswer: -2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1) + (-6 - 0). Let p(s) be the second derivative of -s**5\/10 - 7*s**4\/12 + s**3\/2 + 7*s**2\/2 - 21*s. Is p(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 532302757\/1080 + -492873. Find the common denominator of a and 143\/270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10828459 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6670, -6683, -6722, -6799, -6926, -7115, -7378?\nAnswer: -7727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(12\/(-39))*(8 + 10). Let s(v) = 27*v**2 - 2*v + 1. Let x be s(4). Let a = x + o. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Suppose 2*u + s*l - 18 = 0, -4*u = 3*l - 8 - 23. Suppose 9 = -u*a + 4*a. Is -3 != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 299, 329, 383, 467, 587, 749?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151429617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.388 - -3.138. Let x = s - 2.7501108. What is x rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675661435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k - 94 + 44 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffnqnvfffyfq. Give prob of picking 1 v, 1 n, and 1 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r - 712 = -896 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 3. Let h be j(6). Suppose 1 = -h*c + 22. Suppose 2*g - q = 3*q + 134, 5*g - 2*q = 375. Calculate the greatest common divisor of c and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.336 * 26651.\nAnswer: -8954.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*(-1 + -2) + 405\/(-2025).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*v - 435*v + 52*v + 8*v - 577*v - 3*v.\nAnswer: -1040*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3*q = -2*x - 46, 0 = -2*x + 3*q - 45. Suppose -2*b + 60 = 3*b. Let d = b - x. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 3201 - 3215. Solve 0 = -4*g + a - 2, 0 = -3*g - 20*a + 21*a - y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610392729 divided by 2?\nAnswer: 610392729\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -9. What are the prime factors of (-1 - i) + 15 + 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**2 - 3*a + 7. Let c(l) = l**2 + l - 2. Let s be (-64)\/10*30\/(-4). Let t = -34 + s. Calculate t*c(h) + 4*y(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2044 + -419021\/205. Is n greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6101245 or 6101242?\nAnswer: 6101245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 - 5*n. Let g be 6\/(4*1\/(-2)) - 3. Let r(d) = 2*d**2 + 3*d. Let j be -2 + 1 + (-9 - 0). Let m be j + (-1 + 1 - 0). Determine g*x(l) + m*r(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -16*q**3\/15 + 2*q**2 - 4*q\/5 - 8. Let v(b) = 0. Calculate b.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**3 - 1626*n**2 = 0.\nAnswer: -542, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -55545, 4, 33 in descending order.\nAnswer: 33, 4, -55545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/d*d\/d**6)\/(d\/(d\/d**(-2\/7))*d**(2\/3))*(((d\/(d\/(d*d\/d**(-2\/21))))\/d)\/d*d*d*d**6)\/(d**1)**0 assuming d is positive.\nAnswer: d**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 take away 9906?\nAnswer: -9974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -310324*0.3\nAnswer: -93097.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moieimmhieiiimiiom. Give prob of picking 2 i and 1 m.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -85.\nAnswer: 31\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 215\/129*16\/5\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351216938.\nAnswer: 2, 19, 1361, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51.5 - -54.5. Suppose -p + 14 = -0*p. Let w = p + -27\/2. Which is the nearest to r? (a) -2\/21 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**3 + 505*y**2 - 65*y - 1604. Determine b(84).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 22 (b) 1\/14 (c) 1\/6 (d) -2 (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - r + 7 + 6 = 0, -5 = 3*a + r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -4. Let d = w - 10. What is the second biggest value in -5, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 1:21 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 23*v + 48. Let n be p(21). Suppose 7*m + n - 20 = 0. Factor -1\/2*b - 1\/2*b**m - 1\/6*b**3 - 1\/6.\nAnswer: -(b + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, j: 4}. Give prob of picking 1 g and 3 j.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:17 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15221 and 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81661793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 4*o. Suppose -3*q + o = -4*q. What are the prime factors of (0 + -1 + q)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 235\/3826?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 17*o - 20. Let d be q(-18). Let g be d\/(-19) + (-52)\/494. Which is the closest to g? (a) 4 (b) -2\/17 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9705 (base 10) to base 9\nAnswer: 14273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42357.39 years?\nAnswer: 508288.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/21 + (-2)\/7. Let q be ((13 - 7) + -3)*l\/(-3). Put -4, q, 0, 1 in descending order.\nAnswer: 1, 0, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j + 2*d = -44*j, 5*d - 7 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 10.2. Let r = z + -10.8. Let v = r - -14. Which is smaller: v or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-8))\/(-3)*-4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*f**2 + (-f + 0*f + 0*f)*(-43*f - 33*f + 12*f) to the form h*f + n + o*f**2 and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 79, 5, 25, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197 - 197. Let o be ((-1)\/(-2))\/(10\/4). Which is bigger: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 - 2*n**2 - n**2)*((-3 + 5 + 3)*(-5 + 3 + 4) + 2 - 1 + 0 + (4 + 5 + 3)*(1 + 6 - 9)) as b + l*n + x*n**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 21969?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r**2 + 9*r**2 - 5*r**2 - 11*r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 504.1225?\nAnswer: 3024.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 121, 246, 373, 502, 633, 766, 901?\n\"Answer: g**2 + 122*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*l = 3 + 1, 3*x - 10 = l. Suppose 26 = -2*p + 6*p - x*f, 5*p + 2*f = 19. What is the second derivative of 2*y + 2*y + 4*y**2 - p*y**2 - y wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Let p = 2 + 0. Suppose 9 = p*w - l. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 14, h: 2, f: 2}. Give prob of sequence rhv.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 314*-0.206.\nAnswer: -64.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*p + 9*p - 28*p + 27469*p**2 + 11*p - 5867*p**2)*(-2*p**2 + 4*p**2 - 3*p**2) in the form a*p**3 + u*p**2 + d + r*p + g*p**4 and give g.\nAnswer: -21602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 231.7589*0.6\nAnswer: 139.05534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41067.55 rounded to the nearest 10?\nAnswer: -41070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 4*f + f. Let x = f - -7. Let s = -29\/72 - -5\/72. Put x, s, 0.1 in ascending order.\nAnswer: x, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(228)*2)\/(2*sqrt(1200) - sqrt(1200)))**2.\nAnswer: 19\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**5\/60 + x**4\/24 - 6*x**2. Factor t(h).\nAnswer: -h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.983 + 0.057. Let i = p - 3.04. Let k = -1 - -3. Which is the second biggest value? (a) i (b) -1 (c) -0.2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and -4525.\nAnswer: 633.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*d**3 - 2*d + 215 wrt d.\nAnswer: -696*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from txsxtsxtxxtxs.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhhhzzzhzzzzhhzzzz. What is prob of picking 4 z?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18773648 + -27395448. What is k rounded to the nearest 100000?\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -966, -1338, -1712, -2088?\n\"Answer: -i**2 - 369*i - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1566, -3037, -4484, -5907, -7306, -8681, -10032?\nAnswer: -11359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49758 is divided by 171?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1889077511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2233 + 2233. Solve 2*a - 27 = -4*o - a, 4*a - 20 = k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w. Let z(y) = 10*y + 2. Let h(s) = -27*s - 6. Let k(v) = -h(v) - 4*z(v). What is j(k(q))?\nAnswer: 26*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = 2*w - 3, 4*r - 12 = -w. Put -3, 1, r in decreasing order.\nAnswer: r, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 116. What is the units digit of (-1140)\/k + (-2)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*y**2 - 78*y**2 + 41*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -5*j - 16, 2*y - 6*y + 3*j = -27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26334 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r - 20 + 71 + 41 = 0. Let d be 21\/5 + 3\/(-15). Suppose -5*g = -2*o + 15, -2*o + 3*o - 3*g - 9 = 0. Solve r*m - d + 2 = o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 801 and 297471375?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.7148 and -5?\nAnswer: -23.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81.344 + 81. Let y = -68 + 67.71. Let g = y - o. Round g to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154299, -154183, -154067, -153951?\nAnswer: -153835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3287727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -18d?\nAnswer: 18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1624902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1537, -3089, -4681, -6331, -8057, -9877, -11809, -13871?\nAnswer: -16081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2 - (595\/34 - 11). What is the second smallest value in 0.08, -3, 3, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 2*x - 9 = -17*a, -2*a = 3*x - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 3*o + 31. Let z be (276\/230)\/((-1)\/5). Let r be c(z). Solve 3*t - 17 = -s - t, -5*s - 2*t = -r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 38*s**2 - 77*s - 30. Let f be h(-36). Factor 11*n**3 + 5184*n + 146*n**2 - 28*n**2 - 7*n**3 + f*n**2 + 20*n**2.\nAnswer: 4*n*(n + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1704 + 3116. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*r - 67*r - 17*r = -33*r + 3440 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34854 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9*(6 - 27\/7). Which is the second biggest value? (a) l (b) 0.1 (c) 0.01 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3))**50)**(3\/2) assuming w is positive.\nAnswer: w**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(38) - 2*sqrt(342)))\/(sqrt(8)*-4*-2))**2.\nAnswer: 4275\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6133518 is divided by 1533341.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 4:11 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 + -4 + -12)\/(4*(-4)\/1280360) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 19. Calculate the smallest common multiple of m and 456 - 439 - (-1 + (7 - 1)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67440602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 303?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 22002121?\nAnswer: 22002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 4*n + 3. Let x = -1 - 1. Let j be -1*(x - (1 - 0)). Let h be l(j). Solve 0*q - 3*q + h = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000771 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 958.\nAnswer: 1\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/11)*w**(-18\/7) assuming w is positive.\nAnswer: w**(-219\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 6 - (-4 + -12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-12) + 5 + -3. Let p = -2.1 - -2. What is the second smallest value in -2\/3, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 638823472?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + 52242?\nAnswer: 52314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 22*l**2 + 23*l - 24. Let z be k(21). Suppose 4*j + 0*j = 288. Calculate the greatest common divisor of j and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34421.\nAnswer: 34421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 4 (c) -0.0411 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13275006 and 52554.\nAnswer: -13222452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5*4\/2450*-5)\/((-4)\/56)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -22005.\nAnswer: -22005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2619 + -2578. Let x = -1 - -7. Suppose x*w - 3*w - 66 = 0. What is the remainder when m is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-5)\/((-20)\/1128). What is the common denominator of -7\/6 and (-1)\/(-7) - 1622\/v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 899697a + -3?\nAnswer: 8996977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-5 + 0) + 2. Let c be (b + 1)*(-10)\/4. Suppose -c*i = 23 + 2. Put i, 1, 4 in descending order.\nAnswer: 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c. Let u(f) = -f**2 + 8*f - 13. Let w be u(5). Let r(s) = w*s + s - 7*s. What is k(r(t))?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46\/126 + 2\/(-14). Let w = 0.25 + -0.05. Which is the nearest to -1\/2? (a) k (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(11\/(-132))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + u)*(4 - 63*u + 2739*u + 0 - 4).\nAnswer: 5352*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t = 9*t + 27*t - 500 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2747 - -4480. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbuuubcuu. Give prob of picking 1 u and 1 b.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/60 - 25*q**4\/48 - 91*q**3\/4 - 918*q**2. Factor s(m).\nAnswer: (m + 7)*(2*m - 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b**2 - 265*b - 265. Determine g(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6725170 to the power of 1\/2, to the nearest integer?\nAnswer: 2593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -1\/2*p**2 + 5*p + 1\/4*p**4 + p**3 + 2. Calculate b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341 - 363.3. Let t = 22.31 + n. Which is the closest to 1? (a) t (b) -2 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-63)*(-5684)\/(-1015))\/(6\/(-81))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a factor of 136672128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 - -160.5. What is the closest to s in 1, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 280 and -0.20624?\nAnswer: -57.7472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r + 3*z = 6, 0 = -r + 5*z - 2. Solve 15 = -r*l - 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c + 37551 - 37431 = 0. Let y be (-2)\/(-4) + 69\/(-42). Let i = 3\/7 + -5\/7. Put c, i, y, 0.1 in ascending order.\nAnswer: c, y, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82042093 is divided by 285.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -2\/21 (c) -0.1036 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let w be r(5). Suppose 4*o + 12 = 4. What is the remainder when 24 is divided by (-5 - -31)*o\/w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1.7 (c) -8 (d) -1\/174 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-15))\/((-1)\/(-5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 435.59 (b) 0.382 (c) -1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 20 = b. Solve -b*i - w = -4 + 3, 5*w = 3*i - 23 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -153*q**5\/4 + 3629*q**4\/4 - 24215*q**3\/4 + 46503*q**2\/4 + 3680*q + 175 = 0?\nAnswer: -2\/9, -1\/17, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.063ml to litres.\nAnswer: 0.021063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 6*n - 3*l = 11, 3*l + 3 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -256 - -d?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 + (-6219)\/(-225))*5\/(-12).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, -1\/4, 18, 2.1, 0?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -60, -98, -140, -186, -236?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, k: 1, c: 2, j: 1}. What is prob of sequence ckjw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(-2\/19))*j)\/j*j*j*j**(-17))\/((((j*j**25\/j)\/j)\/j*j)\/(j**(-6\/11)\/j)) assuming j is positive.\nAnswer: j**(-8243\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 81\/(-39) - 57\/247 - 0. What is the smallest value in g, -0.25, -3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2583*r - 1039*r + 7145*r.\nAnswer: 3523*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2231 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -291*r. Let a(s) = 74*s**2. What is a(k(t))?\nAnswer: 6266394*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccdcdcdc. What is prob of picking 3 c?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 202111221 (base 3) to base 7\nAnswer: 61414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Let v(h) = 512*h**2 - 80*h - 80. Let i(z) = 19*z**2 - 3*z - 3. Let j(p) = 80*i(p) - 3*v(p). Determine j(y(c)).\nAnswer: -64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(12)\/sqrt(4)) - 2*sqrt(22)\/sqrt(2) - -4*(sqrt(11) + (sqrt(1584) - -2*sqrt(1584)) - (1 + sqrt(11) + -4 + sqrt(11))))**2*-5.\nAnswer: -1063375 - 16680*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2 - 632*n + 631*n + 13. List the prime factors of p(-20).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5 (c) -1.3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 126.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, r: 1, a: 3, j: 5}. Give prob of sequence aauj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npnrpeonnnnnrnnrprp. What is prob of sequence noe?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2388030 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2 + 7*i - 9. Let z(y) = 7*y**2 + 7*y - 10. Let g(l) = 5*v(l) - 4*z(l). Let o(d) = -d**2 - 3*d + 2. Determine -6*g(w) - 14*o(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3450 + -5176. Let x = w - -10325\/6. Which is greater: -6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 + 8*r**2 - 35*r - 121. Calculate x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(4\/11)\/r**(8\/3) assuming r is positive.\nAnswer: r**(-76\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 18378*c**3 - 91953*c**2 + 73572*c.\nAnswer: 3*c*(c - 4)*(c - 1)*(c + 6131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*c + 9 = -d, 0 = d + c - 3. Suppose 2*v + 3 + d = 0. Is 3 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**3\/3 + 2*h. Let x = -39 + 41. Let p(o) = -4*o + 11*o - x*o - o. What is u(p(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(6)\/(sqrt(12)\/sqrt(6))) + 0)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-848)\/24 - 2)*(-9)\/6. Suppose 0*c = -2*c + 16. Calculate the highest common divisor of h and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*s - 1444, -23*t + 21*t = -2*s - 572. Suppose 4*j + 2*m - 58 = 0, 3*j - 4*j + m = -19. Calculate the least common multiple of t and j.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -155, -522, -1233, -2402, -4143, -6570?\nAnswer: -9797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2635*p**2\/8 + 387343*p\/8 + 147\/4.\nAnswer: -(p - 147)*(2635*p + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 4*o - o. Let r(v) = -v**3 + 8*v**2 + 21*v. Let l be r(-2). Is 8 a factor of (3\/l)\/(o\/(-962))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**5 + 3804*u**4 - 902496*u**3 - 906304*u**2.\nAnswer: -4*u**2*(u - 476)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2, -36, 73, 0 in decreasing order.\nAnswer: 73, 3, 0, -2, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2425896 - -9703369. Suppose -5*t + 8*t - 2*f = -4366481, 0 = 5*t - f + y. Let r = 645495 + t. What is r rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 + 88. Solve 7 = -c*g + 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 8214039641.\nAnswer: 8214039637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*a - 19, -n = -2*a - 0*a - 14. Let b(t) = t + 0*t - n*t. Let j(z) = 1277 + z**2 - 2*z**2 - 1277. Calculate j(b(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149342 less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -107517.\nAnswer: -107517.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.2, -0.3, 636, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 1. Suppose -h + 21 = -4*d, 4*d - 2*h = 2*d - 12. What is s(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32779, -33244, -33709?\n\"Answer: -465*i - 32314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = l. What is the common denominator of 111\/22 and ((-721)\/294)\/(l\/(-6))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -43?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10203 (base 5) in base 13?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 11*s + 3*h - 7 = 0, -4*s = 3*h + 1. Let d be ((-2)\/4)\/(2\/(-8)). Let l be ((-27)\/(-342))\/(s\/d). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -680, -1019?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -920, -7261, -24450, -57911, -113068, -195345, -310166, -462955?\n\"Answer: -904*r**3 - 13*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -3 - (-84)\/(-18)*-6. Suppose r*t - 339 = -42. Solve q = 3*q - 5*i + 16, -5*q - 2*i - t = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 5, 2013, -0.5, 2\/3, 7, 0.1?\nAnswer: 2013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1517, -1\/12, -3, -5, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72949669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72034 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 - 87*p**2\/4 - 2331*p\/4 - 17797\/4.\nAnswer: -(p + 13)*(p + 37)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) + (sqrt(95) + sqrt(95) + 3*-2*sqrt(95) - sqrt(95))))\/(5*sqrt(15)\/sqrt(3)) - (-3*sqrt(76)*2)\/(-1*-2*sqrt(4)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 8*j + 8 = 0. Suppose 3*d = -2*x - 2*d + 17, -j*d = -2*x + 62. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbss when four letters picked without replacement from {s: 2, f: 2, b: 2, r: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a factor of 104453611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*v - 15. Suppose -2*n - v*n + 10 = 0. Let b(r) = -r**2 - 2*r + 5. Let f be b(-3). Solve -13 = 5*y - i, y + 10 - f = n*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22 - 21) + 92204\/(-6). Let i = -15532 - w. Let x = -167 - i. Which is the biggest value? (a) x (b) -0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442724877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-188)\/(-47))\/(-1*2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -366 to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108 + 13 - -8)*((-20)\/(-15) + -1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/36)\/(13\/(364\/18))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149744 and 147452.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1296938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-49))\/((f**(-6)\/f)\/f*f))\/((((f\/(f**3\/f))\/f*f)\/f)\/f)**(3\/7) assuming f is positive.\nAnswer: f**(415\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -50, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 7*b + 54 = 0. Find the third derivative of -u**5 + b*u**2 - 16*u**2 + 10*u**2 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(((-100)\/1000)\/((-129)\/210))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3 = v, 2*g - 6*g + 24 = -4*v. Let o be (-13488)\/(-576) + -22 + 5\/(-3). Let x = 0.01 - 4.01. Which is the nearest to o? (a) -0.2 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -83143372?\nAnswer: -83143377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let g(t) = -231*t**2. What is g(x(b))?\nAnswer: -231*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(0 + 2*g + 0) + (-3 + 8 + 4)*(-4*g + 0*g + 0*g) + 55*g - 69*g - 29*g.\nAnswer: -77*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41553 + 41553 - 169*b**2)*(-6*b**3 - 1 + 3*b**3 - 6*b**3)*(3 - 2 - 2).\nAnswer: -1521*b**5 - 169*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*v + 3*v. Let n = 1.3 + 3.7. Let w be (-2)\/(-5) - (-120)\/75. Which is the nearest to 1? (a) v (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13997?\nAnswer: 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 1. Let g(i) = 25*i - 5. Let z(t) = 14*t + 400. Let d be z(-29). What is d*j(m) + g(m)?\nAnswer: 19*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*i = -19336, 58025 = 66*w - 63*w - 2*i. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20173\/324 or 62?\nAnswer: 20173\/324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105576 divided by 26394.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -47. Calculate the remainder when 46 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 o, and 1 r when four letters picked without replacement from {z: 6, i: 1, r: 2, o: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4505700850 to the power of 1\/2, to the nearest integer?\nAnswer: 67125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 301.971675 to 1 dp.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 3:08 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 1024?\nAnswer: 33\/1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 - 131.028. Let b = y - -1.028. Let t be 2 - 1 - (-11)\/(-7). What is the nearest to 0.1 in t, b, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-5))\/(4\/(-4 + 24)). Suppose a + 4 = 5*f + 12, s = -f. Let k = a + 12. What is the remainder when 29 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1155 + -a?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 910333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n + 1. Let w = 4775 + -4773. Let v(c) be the first derivative of 18 - 3\/2*c**w - c. Calculate 3*f(o) + v(o).\nAnswer: 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4 + 2*h**2 - 5*h + 4 + 3*h**2 - 6*h**2. Let m be x(-6). Suppose z = -2*p + 131, -5*z = m*p - 89 - 38. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 63 + 13*z**2 in the form s*z + n*z**2 + l and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 244133445 (base 6) to base 9\nAnswer: 8720112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -18. Is g <= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 3*c**2 + 5*c + 3. Give y(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 45*f**2 - 156*f + 156. Let j be z(1). What is the highest common divisor of j and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -456 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -29. Suppose j*p - 33 - 92 = 0. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28421815 plus 0.5?\nAnswer: 28421815.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.082559011 + -0.095\nAnswer: -0.012440989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 26 - 24 = 0. Let t be 4\/w - 210\/(-25). Let d(j) = -j**2 + 7*j + 8. Let r be d(t). Solve f - 4*f = r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1722 + -1723. Which is the third biggest value? (a) -17 (b) q (c) 2\/9 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000100101101 + 100?\nAnswer: 111000100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28333.\nAnswer: 29, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuuffuduffuxsfuffxff. What is prob of picking 1 s and 3 u?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 58*s + 402. Give x(-46).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9204675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-221 - 19*q + 111 + 109)*(4 + 2 - 3)*(3*q - 3*q + 2*q**2).\nAnswer: -114*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.85 - 0.15. Let k = -1 + -1. Let c = 2 - 1. What is the nearest to 1 in l, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(20\/(-6) - -3). Solve -4*f + r - 14 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -59. What is the second derivative of -15*z**5 - 4*z + 205*z**d - 205*z**2 - 3*z wrt z?\nAnswer: -300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31425245, -31425235, -31425219, -31425197, -31425169?\nAnswer: -31425135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llr. What is prob of sequence rrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 672 - 478. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ksskkpkkkkksksskkpk. Give prob of sequence spsk.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**2 - 14*x - 23. Let i be a(-2). Factor 23*v - 30*v**2 - i*v - 2*v.\nAnswer: -2*v*(15*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r + 9 = -3*h, -h - 2*r - 5 = 0. Let s be -1 + 11 + (-3)\/h. Put 0, s, 5 in increasing order.\nAnswer: 0, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -11, -7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 359944 - 359744. Determine k, given that 0*k**2 - 500 - f*k + 4\/5*k**4 + 8*k**3 = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 a factor of 51754997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5703*a - 14163 + 162915 = 1717*a - 496788 for a.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 + 4*f + 142 - 142)*(1 + 7 + 1).\nAnswer: 18*f**4 + 36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 11 + (-3 - (-12 + -1)) + 24 + 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, w: 2, s: 2, o: 8}. Give prob of picking 1 s and 1 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888442447 to the power of 1\/3, to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 2237987*c + 20141964.\nAnswer: -(c - 2237996)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9182334339.1 + 0.1.\nAnswer: -9182334339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 - 38*n**2 + 20*n + 1. Give s(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/7 (b) 2 (c) 110 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/68)\/((-135)\/(-1530)). Put 17, -2, w, 37 in decreasing order.\nAnswer: 37, 17, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -q - 14, -4*q = 5*n - 7 - 2. Suppose v + v = 3*a + 5, 2*v - 13 = -n*a. Sort v, 8, 5.\nAnswer: v, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(243) + -2) + sqrt(243))**2 - (5*sqrt(192))**2.\nAnswer: -720*sqrt(3) + 1339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 56.386943+0.2826\nAnswer: 56.669543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 3*b**6\/16 + 16*b**5\/3 - 325*b**4\/12 - 80*b**3\/3 - 60*b**2 + 6*b. Factor z(v).\nAnswer: 5*(v - 2)*(v + 16)*(9*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:53 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q - 241. Suppose 238*w - q*w = -9. Solve w*y + 7 = -2*o, o - 3*y = -4*y - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -z + v, -5*z - 4*v - 29 = 0. Let q(s) = s**2 - 1 + 2 + 3*s - s + 2*s. What is q(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630 = -73561*q + 73651*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/42*(-14)\/16.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5476*m + 82180. Let r = 559 - 323. Calculate the remainder when r is divided by i(15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 10. Suppose 108 = -p*l + 8*l. Is (l\/(-21))\/((-2)\/(-42)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (0 - 0) + 1. Suppose u - d + 0 = -1, 0 = 2*u + a*d + 2. Let v be 2 + 3 - (11 - (-1690)\/(-280)). Does v = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 22486*g**2 + 22117832*g + 5380860320.\nAnswer: -(g - 45940)*(g + 484)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 + -94. Suppose -2*x + 0*x - 15 = -q, -q = -4*x - b. What is the remainder when 22 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -5 (c) 2\/249 (d) 0.0036\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1 = -4*a. Let v be 2\/2*4\/20. Let s be 6\/9 - (-48)\/(-99). Sort s, a, v.\nAnswer: a, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 4. Calculate the remainder when x(-3) is divided by (1 - -7) + 0 - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1527376 divided by 2\nAnswer: 763688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 3*c - c**4 + c - 3*c**4 - c**3 to f*c**3 + s*c**2 + z*c**4 + w*c + r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.3, 3, -0.4, 445\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/22)\/(132\/(-242)). Suppose -15 = 5*o - 2*o. What is the smallest value in q, o, 3, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 103, 85, 51, -5, -89, -207?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 3:01 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Let o be n*1\/1*0. Let r = 7 + -22\/3. Which is the third biggest value? (a) r (b) o (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyo when three letters picked without replacement from ooyyoooooyoo.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30112\/(-20702))\/((-2)\/(-22))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202883793 to the nearest integer?\nAnswer: 14244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2518 - 11947 = 0. Suppose y = 4*w + 3*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 4*q + 5. Suppose -4*t - 8 = 0, -4*l + 0*l - 2*t = -60. Suppose 2*r = -2*r + l. What are the prime factors of n(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12944915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/320*((-140)\/12 + 11). Which is the third biggest value? (a) 4\/9 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 6 + 3*r - 7*r)*(-10 + 11*r + 10) to the form v*r**2 + p*r + b and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 22. Determine n(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -655\/136 - -84\/17. Let l(o) be the second derivative of -1\/48*o**4 + 0 - 3*o - 1\/12*o**3 - u*o**2. Suppose l(j) = 0. What is j?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -949, -2906, -6825, -13360, -23165, -36894?\nAnswer: -55201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ff - 9?\nAnswer: 1f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-756)\/72)\/(1\/6*3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7*l + 20 = 0. Suppose 36 = 3*b - 5*a + 13, l*a = 3*b - 19. Is b\/(-3) - (-340)\/12 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 735954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -29. What is the greatest common factor of 20 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(1 + 8 - 2)*(-3*u + 51 - 51)*(2*u - 14 + 12 - 3*u) to the form z + c*u + j*u**2 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 986\/3 + -328. What is the closest to -4 in -3, i, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -1. Calculate the lowest common multiple of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 11. Let i be x(14). What are the prime factors of ((-148)\/6)\/((-2)\/i)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 4*w**2 - 2*w + 2. Let a be h(3). Let j be (a\/(-35))\/((-2)\/10). Suppose 0 = 4*c + 5*y - 6, -j*y + 1 = 3*c - 7. Solve 2*u + 2 + c = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**4 + 2*q + q**4 - q**4. Let n(b) = -2*b**4 - 6*b. Let j(z) = 5*n(z) + 14*u(z). What is the second derivative of j(c) wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3186 divide 4750551357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06145 - 0.07588. Round t to four dps.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 - 2320*h + 23700 = 0 for h.\nAnswer: -474, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 283 - 287 = -b, -2 = -5*b - 4*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 3*d**2 - 4*d. Let r be t(-3). Let g be -3*1\/(-2)*(-32)\/r. Let i = -46 - -41. Put 20, g, i in increasing order.\nAnswer: i, g, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -63*h + 630. Let f be c(10). Solve f = b - 3*x - 4 - 5, -2*x = -2*b + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 521 - 520.99999382. Round i to 7 dps.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 3*o + 24. Let d = -15 - 0. Let v be (d + 0)*4\/6. What is the units digit of m(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241640.1 millimeters to centimeters.\nAnswer: 24164.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62423 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let n be (z\/2)\/((-2)\/(-12)). Let t(s) = s**2 + 3*s + 4. Is t(n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2636?\nAnswer: -1\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + 9 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 11 = 4*u - 2*a, -a = 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.1. Let t = 0.1 + y. What is the nearest to t in 5, 2\/19, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h - h)*(18184 + 678*h**3 - 18184).\nAnswer: -3390*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225.62 - -229.62. What is the nearest to -1\/26 in t, -2, 6, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 0.32, 0, -1242\/3421?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44015090 minus 0.3?\nAnswer: 44015089.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -569 + -32338?\nAnswer: -32907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 10. Suppose -4*h - 2*w - 7 - 15 = 0, 2 = -o*w. Suppose -2 = 2*f + 6. Is f at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 2 - 2)*(-91*l + 42*l - 71*l - 118*l) to j + f*l**2 + n*l and give f.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 95 = 7*b. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -52. Suppose 12 = -4*n, 235456 = -f*y + 3*n - 299535. Round y to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 39*g - 17. What is z(-16)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/7 (b) -0.5 (c) -4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58373929.\nAnswer: 58373929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 55*h + 230. Let p be c(-13). Solve 9*t + p = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 9*h + 542 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*l - 25*l + 75*l - 8695414. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.4+77.8\nAnswer: 93.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**5 + 13830*j**4 - 9535745*j**3 - 38309100*j**2 - 38364500*j.\nAnswer: -5*j*(j - 1385)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*2 + (-5 - -14 - -175). Suppose -2*s + 5*c + 1015 = -h, -3*s + 2*c = -1812. Calculate the least common multiple of s and 10.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 0*b + 19*b**2 + 0*b - 17*b**2. Let p(m) = 8*m. Calculate n(p(f)).\nAnswer: 128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 3. Let r(y) = -6*y - 17. Let n(p) = 34*a(p) + 6*r(p). Let u(d) = 29*d**2. What is u(n(o))?\nAnswer: 116*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 70. Let a = 0 - f. Let k(y) = y**3 + 8*y**2 + 2*y + 8. Let l be k(a). Sort 5, l, 4 in ascending order.\nAnswer: l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Let k(y) = 9*y + 3 - y - 12 + 2*y**3 - 5*y**2. Let f(d) = k(d) + 5*v(d). List the prime factors of f(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 63*y**3 - 8*y**2 - 5*y + 6. Let t(n) = 63*n**3 - 7*n**2 - 4*n + 5. Let a = -4 - 1. Let m(g) = a*z(g) + 6*t(g). Is 31 a factor of m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*n**3 + 9*n**3 - 9*n**3 + (n**3 + 0*n**3 + 0*n**3)*(-4 + 2 + 4).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -18. What is the remainder when 1*2*172\/8 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 2*n + 6. Let y be p(5). Let g be (12\/18)\/((-1)\/y). Suppose 4*f - 17 = -q, -4*f = -g*q + 3*q - 13. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4\/12 + 14*q + 2. Let a(n) = -882*n. What is a(d(g))?\nAnswer: -882*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r + 4089. What is the tens digit of m(39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*w + 24244860321 - 24244860321.\nAnswer: 122*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5329*q**5\/4 - 89863*q**4 - 1676126*q**3 - 7745783*q**2\/2 + 98632807*q\/4 - 38041307\/2 = 0?\nAnswer: -677\/73, 1, 2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -924 divided by -231?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/5)\/(8\/(-20)). Let q(x) = -1. Suppose 0*f - 15 = -5*f. Let r(y) = 2. Let i(u) = f*q(u) + 2*r(u). Let w(v) = -3*v + 3. Calculate z*i(l) - w(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1341*n**3 + 3*n**2 + 8*n. Let w(v) = -4022*v**3 + 10*v**2 + 29*v. Calculate 7*m(o) - 2*w(o).\nAnswer: -1343*o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 27\/4 (b) 3 (c) -20 (d) 3\/5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/6192 and 95\/18?\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*t + 30, 2*t = 6 - 2. Let i = j + -24. Let u be 1\/5 - 2\/i. Solve u = 6*r - 2*r - l - 21, -10 = 2*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 10*g - 5*o + 25, -5*g = -4*o + 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b - 12. Let i be f(6). Let q be -1 - (-2 - i\/(-4)). What is the remainder when 8\/(-6)*57\/q is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 + 0*r**2 + 0*r**2 + (r**5 - 3*r**5 + 3*r**5)*(6 + 3 + 0) + (3 - r - 3)*(3*r**4 - 2*r**4 + 0*r**4).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 20 (b) 0.6 (c) 0 (d) -3 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(7\/(-21))*15\/18?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + 5*s = -286, 0 = -4*v + 5*s + 1219. Let q = v + 12. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eev when three letters picked without replacement from {e: 2, v: 2, b: 9, q: 3}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 217.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -226.6 + -5228.414?\nAnswer: -5455.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 - 2)*(-3*g - 4*g + 6*g + (-5 + 1 + 5)*(2*g - 2*g - 2*g) + 2*g + g - 2*g).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9))**(20\/3)\/(t\/((t**(1\/30)*t*t*t)\/t)*t*t**(1\/47)) assuming t is positive.\nAnswer: t**(18953\/12690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.06 + -0.06. Let h = -10.99999984 + u. What is h rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o. Let z be m(-6). Suppose 43 = s - z. List the prime factors of s.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1529*d + 3391. What is the ten thousands digit of p(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*t + 109. Suppose 27*l - 448 = -l. Calculate the remainder when t is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 474360 and 536?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Let t = -27 - -26. What is the nearest to t in p, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*f - 266 + 1156 = -388 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 228 = -378. Suppose 0 = -4*d + 5*d. Solve 5*h + d = -y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 7:27 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71318959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from pwwwppcpp?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -132889\nAnswer: -2\/132889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 3 = -39. Suppose -24 = 10*f - h*f. Let y be 13\/20 - (-2)\/(-8). Put f, y, 3 in decreasing order.\nAnswer: 3, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 88*o**2 + 15*o - 20. Let m(p) = 58*p**2 + 10*p - 13. Let b(j) = -5*a(j) + 8*m(j). Find the second derivative of b(i) wrt i.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/5984031?\nAnswer: -1\/5984031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-2)\/(-12))\/((-557)\/15039))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1735 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -470*o + 234*o + 239*o as q + u*o and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(sqrt(12)*3)*6)\/(sqrt(108)\/(sqrt(3) + sqrt(27)\/sqrt(9) + sqrt(3))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55586 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t**4 + 5*t**3 - 25*t**2 - 5*t + 15 = 0. Calculate t.\nAnswer: -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 778.1233 centimeters in meters?\nAnswer: 7.781233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 y when three letters picked without replacement from yrcxpyyxyyexyrc.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -20. Let x(v) = 7*v**2 + 3. Does 16 divide x(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 2 - (38 + -44)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a*i**4 + a*i**3 + 379*a*i**2 + 25*a*i + 69 wrt i.\nAnswer: -12*a*i**2 + 6*a*i + 758*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - -6 - 2) + (13 - 12 - -5).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37286, 74702, 112118, 149534, 186950?\nAnswer: 224366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 91*w**2 + 7*w + 785. Calculate k(-91).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8757 = 461*p - 2323 - 1918 - 6825 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f - 7. Let d(v) = -v**3 - 8*v**2 - 8*v - 5. Let o be d(f). Determine r so that 4*r**5 + 3*r**3 + o*r**3 + 9*r**4 + r**3 + r**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-133)\/(-49) + -3 + 382\/14. Find the first derivative of 6 - 32 - r*a + 2*a wrt a.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 415*w - 1642. Calculate p(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 8*p**2 - 9*p + 5. Suppose -163*n + 2*l - 18 = -161*n, -2*n = 4*l + 6. Give s(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 11:56 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, h: 5, t: 3, r: 2, u: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**3 - 3*w**2 + 4*w. Let r(l) = -l**2 - 2*l - 3*l**2 + 6*l**2 + 3*l**3 - l. Let c be 208\/40 + (3\/5)\/(-3). What is c*r(i) + 4*t(i)?\nAnswer: -i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1564057.5 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Let c(o) = -3*o + 3. Let n be c(b). Let p(f) = -f**2 - 4*f + 2. Let w(i) = -2*i**2 - 9*i + 4. Let r(z) = 7*p(z) - 3*w(z). What is r(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6037 - 7684 = 604*z + 2587 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(3)*-1))\/(sqrt(22)\/(sqrt(11) + sqrt(33)\/sqrt(3))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1558\/7 + 223. Let a = -94077 + 94080. Sort k, a, 191 in ascending order.\nAnswer: k, a, 191","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 202213?\nAnswer: 202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18919 and 16.\nAnswer: 302704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413099 to the power of 1\/2, to the nearest integer?\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/9 and 57\/142750.\nAnswer: 1284750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 62*g + 5. Let f be p(0). Let a(z) = z**3 - 4*z**2 - z - 7. What is a(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152569437.\nAnswer: 3, 5953, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3127258*c - 656034?\nAnswer: -3127258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 133 = 5*l, 8*l + 34 = i + 10*l. Suppose -4 = -4*w - 3*z, -5*w = 2*z - 5*z - i. Solve 0 = 5*d + 24 - w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6844, 13670, 20482, 27274, 34040?\n\"Answer: -h**3 - h**2 + 6836*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 55 + 60. Suppose -6*r + 20 = -c*r. Solve 0 = 3*a - 35 + r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r**2 + 3*r - 76*r**2 - 3*r.\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 168 = -o. Let n = o - 30. Calculate the remainder when 23 is divided by (-1)\/(-4) + 93\/n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 54*g**2 + 431*g - 149. Calculate p(61).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 432504, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 880.7844 - -0.2156. Let f = 880.99999417 - b. What is f rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 41*f = -433 - 122 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1011 - 852.8. Round g to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6336285, 12672529, 19008773, 25345017?\n\"Answer: 6336244*m + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 7488?\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*c + 27. Suppose -4*i = -c - 0. What is the units digit of (i\/(-2))\/(1\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciiiigccgghivgia. Give prob of sequence gch.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.226823 to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**3 - 5*q**2 - 298*q + 1. Let g(l) = 4*l**3 - 2*l**2 - 149*l. Calculate -2*f(u) + 5*g(u).\nAnswer: 2*u**3 - 149*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859 = 56*u - 6*z + 1011, 4*u + 3*z = -52 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 71*s + 2497. Let m be y(-35). What is the highest common divisor of 440 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 23. Let u be (q + 1)*4\/18. Let k(w) = w**2 - 6*w - 38. Let t be k(-4). Calculate the greatest common factor of t and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a*a*a**(3\/5))\/a)**(2\/73) assuming a is positive.\nAnswer: a**(36\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 12. Let z = a - -9. What is the nearest to z in -0.2, 0.3, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -8*a + 3*a + 155, o = -3*a + 31. Suppose 0*m = -m + 4. What is the remainder when o\/3 + (-6)\/(-9) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10 = 6, -5*x + 41 = 4*p. Let h(m) = -3*m - 5. Determine h(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vssvsisv. Give prob of sequence svs.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*x - 516*x - 207*x - 765*x.\nAnswer: -1672*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-50))\/((-18)\/45)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1.6. Let f = 3.4 + d. What is the nearest to 0 in 0.2, -1\/2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**6\/12 - h**5\/4 + 5*h**3\/6 - 5*h**2\/4 + 2*h - 8. Let l(z) be the first derivative of q(z). Factor l(n).\nAnswer: 5*(n - 1)**3*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -37158.\nAnswer: 7431.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 600?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 2*w)*(2 - 4 + 0) - w + 3*w - 4*w - 5 + 12*w + 5 - 638*w + 637*w - 23 - 11.\nAnswer: 7*w - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -8410?\nAnswer: 840d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 2*p**3 - 2*p**3 + (3*p - 2*p - 2*p)*(3*p**2 - 2*p**2 + 0*p**2) + (1 - 1 + 2*p)*(0*p**2 - 6*p**2 - p**2).\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -43\/14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 107, 232, 415, 674, 1027?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15235 is divided by 4597.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h - 3 + 0 + 3.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 4180176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5 - 448*m**4 - 12*m**3 + 1352*m**2 - 896*m = 0 for m.\nAnswer: -2, 0, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/156 and 43\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 7*w + 3. Let z(d) = 2*d**2 + 13*d + 6. Let p(i) = -7*m(i) + 4*z(i). Let n be p(-4). Let j = n - 1. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x**2 + 17*x - 1. Give n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1171 divide 7826964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13841234*t**2*u**5 + 408*t**2*u - t - 230*u wrt u?\nAnswer: 276824680*t**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.5, -0.1, 1\/6, 3 in descending order.\nAnswer: 3, 3\/5, 1\/6, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7863013ml to litres.\nAnswer: 0.0007863013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 9*z - 13. Let u = -16 + 22. Calculate the least common multiple of w(-4) and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 23*m**2 - 6*m - 76. Let p be w(-23). What is the greatest common factor of 279 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10990.36643 to the nearest 100.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -187, -204, -239, -298, -387, -512, -679?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p. Let s(i) = -91*i - 44. Determine s(b(y)).\nAnswer: 455*y - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, -4, 11421738 in descending order.\nAnswer: 11421738, 0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 83\/4 - 9\/12. Suppose -4*j = j - h. What is the remainder when 10 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273.07*0.4\nAnswer: 109.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -2164a8?\nAnswer: 2164a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10326847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -73*j**2 - 6*j - 3. Let a(c) = 72*c**2 + 5*c + 2. What is -6*a(t) - 5*m(t)?\nAnswer: -67*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from iiidijijiiiidi?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17\/63 + 24881\/63. Which is bigger: m or 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4899 is divided by 550?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-4)\/1 + 4. Suppose 4*v + 2*c = n, -c + 10 = 2*v + 2*v. Suppose -v*p + 4*m = -57, -2*p + 2*m + 3*m = -45. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19384779 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*s. Let k be ((-6)\/(-108))\/(s\/(-3)). Which is the nearest to -0.2? (a) -1\/2 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 473 - 868. Let q = -394.5 - t. Which is the biggest value? (a) -1 (b) q (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-42)*3*(-14)\/(-20)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35741, 156848, 358693, 641276, 1004597, 1448656, 1973453?\nAnswer: 2578988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23260 is divided by 7749?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/538835 and 91\/1690128.\nAnswer: 853514640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 17*k**2 + 16*k + 8. Let a(c) = c**3 + 18*c**2 + 17*c + 8. Let j(r) = -4*a(r) + 5*t(r). Let y be j(-12). Solve 5*n = y*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19686 + 40348. What are the prime factors of x?\nAnswer: 2, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 786119*t - 1572245*t + 786107*t + 1. Determine o(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -246, -222, -180, -114?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k. Let j(p) = -4*p**2 + 4*p. Give n(j(w)).\nAnswer: -12*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(1700))**2 - sqrt(1700)) + sqrt(1700) + -3 + 4)*4.\nAnswer: 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/(-12)*-3*1. Let k(u) = -u - 17. Let r be k(p). Is -6 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrbsssbs. What is prob of sequence bsb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-32))\/(15\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -45. Let t(c) = -c**3 + 6*c**2 + 3*c - 14. Suppose -2*u - 3*l = -7*l - 20, -36 = -5*u + 3*l. Let o be t(u). Solve o*v - z*v = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*h - 28 = 0, 7*h + 40 = 4*a + 9*h. Suppose -2*u - 8 = -2*n, 0 = -5*n - 3*u - 12. Solve n = s + a - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 34. Let w(r) = -s + 2 + 32*r - 8 + 23*r. Is w(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**2 + 2*w**2 - w**2 + 4*w + w**2 wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 4*g + 87 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617899148?\nAnswer: 2, 154474787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*w - 9, 0 = 2*o - 8 - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8+17286.3548\nAnswer: 17294.3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m - 11. Let h be s(-2). Let q be 4\/h + (-1024)\/(-96). Suppose -3*j = -15*j + q. Which is the smallest value? (a) j (b) 0 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/185 - -397\/1665. Let j(y) be the first derivative of -1\/3*y**2 - 4 - 4\/3*y + g*y**3. Factor j(c).\nAnswer: 2*(c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*s + 92 = -4*s, 129 = 3*c + 3*s. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:56 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66457906, -66457904, -66457902?\n\"Answer: 2*c - 66457908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 3*z + 7. Let o be m(-5). Let x = 279164 - 279169. Sort o, x, 3, -58 in descending order.\nAnswer: 3, o, x, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/255*105\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19526000 rounded to the nearest 100000?\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 270057.7 + -270059. Let i be (-2)\/4 - (-1 + 1). What is the smallest value in i, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 4*f**2 + 4. Let v be j(4). Suppose v*u - 43 = -5*c, 5*u = 4*c - c - 11. Calculate the highest common divisor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 342398*s**4 - 433488*s?\nAnswer: 4108776*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/78414 and 41\/21?\nAnswer: 78414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 2. Let c be q(4). Suppose -3*o = n - c*o, -5*n - 5*o = 0. Suppose 5*z - 80 = 5*x, n = 5*z - 3*z + 5*x - 11. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 353, 4, -4.\nAnswer: -4, 4, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, 6, 5, 2, -13, 0.\nAnswer: -14, -13, -2, 0, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 92\/3. Suppose -4*g - 2*l - 18 = -7*l, 2*l - 6 = g. Which is the nearest to 1\/5? (a) k (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 12 = -2*b. Let s = 23 + -18. Suppose -3*m = 67 - 52. Put m, s, b in descending order.\nAnswer: s, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 3. Let g be z(-5). Let f = g + -26. What is the tens digit of 1 - (3 - 2) - f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13905 or 13901?\nAnswer: 13905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -379 - -581. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.039 (c) -10 (d) 0.2 (e) 5 (f) 3\/7 (g) 0.0532\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3275608?\nAnswer: 2, 7, 29, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 261*1\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 314\/39*1 + 1536\/(-192).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 3*q - 3 - 3*q)*((1 - 1 - 2)*(0 - 5 + 2) + 5 - 3 - 1 + 1 + 1 - 1)*(-2 - 3 + 4).\nAnswer: 16*q + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6*k = 7*k + 3, -4*v + 3*k = 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2. Let j(q) = 11*q**2 + 17*q. What is j(x(c))?\nAnswer: 275*c**4 + 85*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002734 less than -2445?\nAnswer: -2445.002734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbxpttvpcbbp. What is prob of picking 3 t and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 28*t - 29. Let k be s(29). Let m be 9\/(-3) - (-274)\/94. Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 400*q + 403*q - 11 = 0, 15 = -3*q. Let f(r) = r**3 - 15*r**2 + 26*r + 6. Give f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1.0651251.\nAnswer: -3.1953753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 10. Let x be 4\/h + (-53)\/(-3). Suppose -4*n + 15 = -x. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y\/((y*y**(-2)\/y)\/y)*y)\/y*y))**47\/(((y*y**13*y)\/y*y)\/y*y*y*y**6) assuming y is positive.\nAnswer: y**(-257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2694*s**2 - 741*s**2 - 4842*s - 328*s**2 wrt s.\nAnswer: -7526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q**2 + q + 17. What is the common denominator of u(0) and 13\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/40 - (-18)\/(-56). What is the biggest value in 0, z, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5 = -3*y + 8, 2*m = 2*y - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.776905 + -2.78. Round g to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000018966 rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49719 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - 4) + 1 + 1 + 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 + 4 - 4)*(-11*y + 13*y + 22*y**2 - 2*y).\nAnswer: 44*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23871 or 71615\/3?\nAnswer: 23871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1*6*(sqrt(176) + -6*1*sqrt(176) + sqrt(176)))*-6)**2*-4.\nAnswer: -14598720 + 55296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 3. What is the remainder when 50 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -47a8bb7?\nAnswer: 47a8bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -45, -57, -55, -33, 15, 95?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/110 - (-14)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 903946 + -572573. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*z**5\/7 + 566*z**4\/7 + 184*z**3\/7 - 376*z**2\/7 = 0. Calculate z.\nAnswer: -94, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrd when four letters picked without replacement from drddrddrdd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100434861 to the power of 1\/2, to the nearest integer?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**4 + 2*u - 490 + 2*u**2 + 461 + 5*u**4 as v*u**2 + m*u**4 + n*u + w + i*u**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 311 * 0.0133\nAnswer: 4.1363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/3 + 2\/3. Let q = -6 - -5. Let b be q\/(-3) + 55\/(-30). Do b and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2362, 2379, 2394, 2407?\n\"Answer: -i**2 + 20*i + 2343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {p: 1, s: 1, t: 1, y: 1, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16, 113, 276, 505, 800, 1161?\n\"Answer: 33*v**2 - 2*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -10. Solve 0 = -3*z - t*j - 4 - 9, 0 = -5*z - 4*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 = 5*i + 181. Let g = i + -65. Is 37 a factor of 2\/(((-6)\/g)\/((-333)\/12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 2*t = 10*b - 4, b + 4*t - 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1596 = 336*u - 108*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**5\/20 + d**4\/24 + 4*d**3\/3 + 1. Let i(y) be the third derivative of s(y). What is the first derivative of i(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -460044732?\nAnswer: -460044727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -132333917*n - 291032049?\nAnswer: -132333917","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-72) + (-6)\/(-72).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**4*g**(2\/27))\/(g**(6\/13)*g**(1\/3))*((g*g**(-2\/9))\/g)**(-4)*(((g*g**(-1\/13)*g)\/g)\/g)\/g**(4\/3) assuming g is positive.\nAnswer: g**(-1489\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129 or 1?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 14*d**2 + d + 1. Let i = 135 + -128. Let a be y(i). Calculate the greatest common divisor of a and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 598934*c*m - 511*c + 2317 wrt m.\nAnswer: 598934*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6374 + 8820*k**2 - 6374 + 8*k**3 - 8820*k**2.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 66970*i + 2946728. What is j(-44)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k**2 - 3*k - 6. Let d be b(5). Suppose d*z - z + 45 = 0. Let w = z - -37. What is the least common multiple of w and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 423*j**3 - 63*j - 48*j**2 - 426*j**3 - 450 - 192*j.\nAnswer: -3*(j + 5)**2*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63187?\nAnswer: 179, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36755, -50077, -63411, -76763, -90139, -103545, -116987, -130471?\nAnswer: -144003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 274 = -4*j, -5*s - j - 2962 + 3013 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1730 = -7*j, 5*i = -16*j + 17*j + 2147. What is the greatest common factor of 88 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in 9, 4, -5, -4\/9, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516129 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.2445216\nAnswer: 0.1222608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + sqrt(1331)*-3.\nAnswer: -33*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 9:09 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-162)*-27*-35\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 423477 and 5.\nAnswer: 2117385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2069926, -2069919, -2069912?\nAnswer: -2069905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 z when four letters picked without replacement from {h: 2, z: 3, q: 3, x: 5}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:33 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 28*r = -14*r + 529692. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85920 = 1718*m - 1706*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(((x\/(x*x**(1\/8)))\/x)\/x))\/x*x*x**(-39))\/(x\/x**(2\/59)*x*x)**(-24) assuming x is positive.\nAnswer: x**(17139\/472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615 = -a - 4*d, -a - 230 + 846 = 5*d. Let j = 52685 + -156278\/3. Let o = a - j. What is the common denominator of 21\/8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001102 (base 3) to base 8\nAnswer: 16240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -513, -6, 3, 0, 55 in decreasing order.\nAnswer: 55, 3, 0, -6, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/11 - 446*l\/11 + 5064\/11 = 0. What is l?\nAnswer: 12, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = -q, 4*q - 2*j = 2. Let v be -5 + 18 - (q + 1). Let l(h) = 3*h + 4. Is l(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - -2) + 0)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 3. Suppose 4*k = -6*i + i + 40, -i + 24 = 4*k. Let u(j) = -4*j - 4. Calculate i*u(y) + 5*l(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 4 - -9) + 3 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/2530 + 634\/1265. Which is the closest to -7? (a) -0.3 (b) n (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2791 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 7614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2808 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2147 - -2152. Solve -3*j + 7 = -v - 5*j, -c*v + 4*j = 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22012 or -22011?\nAnswer: -22011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254507, -254541, -254605, -254705, -254847, -255037?\nAnswer: -255281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, f: 5, b: 2, w: 1}. Give prob of sequence bi.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 2, y: 2, q: 7}. Give prob of picking 2 y and 1 q.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12869 - -12866. What is the biggest value in 0.4, -1, -0.22, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 673226335 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 476284147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 1, -0.1, -23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 83 = 269. Calculate the highest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 8*b**2 - 3*b + 1. Let h be z(6). Suppose 8*v = 3*v + h. What is the highest common factor of v and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -17*d + 16*d. Let i(n) = -n - 1. Let h be i(-2). Suppose 0 = -4*r - f + 36, r - h = d*f + 8. Calculate the common denominator of r and -7\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 22*o**2 + 38*o + 18.\nAnswer: 2*(o + 1)**2*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:30 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 13. Suppose -20*d + 24356 = 120*d - 6444. Calculate the greatest common factor of d and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(63) + -3.\nAnswer: -3 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*n - 90, 2*p - 6 = -2*n + n. What is the smallest common multiple of 8 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*j + 75*j + 14807 = 4*o, o + j - 3713 = 0. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1333*m**3 - 729*m**2 + 12. Let w(x) = -2667*x**3 + 1452*x**2 - 26. Let v(z) = -13*p(z) - 6*w(z). Find the third derivative of v(a) wrt a.\nAnswer: -7962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133.6 - 134. Which is the closest to 1\/88? (a) j (b) 2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1805611724 and 532.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*w**3\/11 + 2210*w**2\/11 - 2598*w\/11 + 774\/11.\nAnswer: -2*(w - 43)*(5*w - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -3\/2*c**3 - 9\/8*c**4 - 3\/4*c**2 + 0*c - 7 - 3\/10*c**5. Factor f(p).\nAnswer: -3*p*(p + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362822 is divided by 362795?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 4, 5\/151, -2433 in decreasing order.\nAnswer: 4, 1\/2, 5\/151, -2433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/72)\/(((-1548)\/160)\/43).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 1 (c) -1\/13 (d) -2.2 (e) 9 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 861852 and 10?\nAnswer: 4309260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*w - 1977 + 2625 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {a: 4, f: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*x**2 - 464*x**3 - 2*x**4 - 138*x**2 + 3 + 248*x**2 in the form f*x**4 + b*x**2 + s*x + r*x**3 + l and give r.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*l - 14 - 85 = 0, -3*l + 51 = -2*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 367.6 (b) 2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 130*l**2 - 3*l - 16. Is h(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + a - 3. Give t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = y - 6*y + 41, 3*y = 3. Let w = t - -57. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67012 is divided by 2197?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4791972 and 15.\nAnswer: 4791972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1871\/7 + 18\/(-63). Suppose -a = 2*f - 5*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:36 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 1\/9, 114\/31, -2.2, -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 5*d - 1. Let q be h(4). Suppose q*l = l + 102. Calculate the remainder when l is divided by 16\/20*45\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 7*b - 10 + 2)*(2 + 2 - 2) as f*b + h and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 305 + -280. Solve -x + c = -6*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-510)\/(-46) + 86\/(-989) + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 2639.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -661, 4, -3, -2, -11.\nAnswer: -661, -11, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 7*h**5\/25 - h**4\/60 - h**3\/15 - 6*h. What is x in g(x) = 0?\nAnswer: -1\/4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 7) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139*c**2*p**3 + 304*c**2*p + 132*c + 4*p**3 wrt c.\nAnswer: -278*p**3 + 608*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 26.6. Put n, 2\/5, 3 in ascending order.\nAnswer: n, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745013 (base 8) in base 6?\nAnswer: 14535151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 268\/9 (b) -2 (c) 2112\/145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/9, -3, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -70, -72, -74, -76, -78?\n\"Answer: -2*p - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 28 + 119)*(-4*f + 4*f + f**4) + (-2*f**3 + f**3 + 0*f**3)*(0*f + f + 2*f + (-3 + 2 + 2)*(0*f + 0*f - 2*f)).\nAnswer: 119*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7340, -7407, -7486, -7577, -7680?\n\"Answer: -6*a**2 - 49*a - 7285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/52, 3, -7, -1\/2, 0, -0.133?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = 0. Suppose q + 2*q - 60 = f. What is the smallest common multiple of (-70914)\/(-1749) + (-12)\/22 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955 - 4247 - 1134 = 352*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/36 and 41\/500.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(49)\/(sqrt(567) - sqrt(567)*-2).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 8:47 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 8 + 1 = 0, -2*j = -4*v - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 w, and 1 s when three letters picked without replacement from hpttwstwlwh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43\/2 - -21. Which is the second biggest value? (a) -1 (b) 1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*w + 43*w - 82*w - 105 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*q - 18 = 0, 34*r = 33*r + 3*q. Suppose 3*n + 0*n - s - 203 = 0, -r*n = -4*s - 191. Calculate the remainder when n is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-15)*(-850)\/51 + -9?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10234 divided by -5117\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48163?\nAnswer: 48163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 4. Let k(g) = -g - 3. Let n(j) = 2*d(j) - 3*k(j). Let t be n(1). Let q be ((-5)\/(-10))\/(9\/(-2)). Which is bigger: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -29*m**3 - 2 - 5*m - 16 - 7. Let a(s) = -1 - 273*s + 269*s - 29*s**3 - 25. Let r(i) = -5*a(i) + 4*g(i). Differentiate r(l) with respect to l.\nAnswer: 87*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -3*v + 5*d, -186 = -4*v - 0*d + d. Let r = v + -229\/5. Which is the second smallest value? (a) -2\/7 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c - 2. Let y(g) = -12*g + 6. Let v(k) = 7*p(k) + 2*y(k). Suppose 0 = 7*o + 2*o + o. Suppose o = 10*d - 27 + 7. Calculate v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1153*v - 4992 wrt v.\nAnswer: -1153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -p - 9. Solve 0*v + 20 = -p*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4 (b) 320022 (c) 1\/5 (d) 5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-21)*9\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-42))\/(-1 - 33\/(-27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyynyynynyy. Give prob of sequence ynn.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 12*r = -2*u + 11, 0 = -4*u + 4*r + 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/19, -25\/11?\nAnswer: -25\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4276, 8732, 13188, 17644, 22100?\n\"Answer: 4456*x - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, h: 4}. What is prob of sequence hhhc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.031745103 to 5 decimal places.\nAnswer: 0.03175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 r when three letters picked without replacement from {r: 2, j: 2, m: 1, x: 4, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 745679060?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v. Let r(n) be the third derivative of -n**5\/30 - 8*n**2. Give d(r(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = s + 2*s. Let r = 41 + -59. What is the units digit of r\/((s - 0)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*i + 16, -2 = 5*i + a - 11. Calculate the least common multiple of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -5*g - 324. Calculate the remainder when g is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9541 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -1\/6 (c) 2\/11 (d) -2\/11 (e) -4 (f) 23190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -5*n + 4*l, -2*l = 8*n - 3*n - 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*q**3\/15 - 48944*q**2\/5 + 83976*q\/5 - 7200 = 0. Calculate q.\nAnswer: -1500, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18)\/(-12) - (1 + (-195)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27892 (base 10) to base 11\nAnswer: -19a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 7*y**2 - 16*y + 16. Let u be g(-16). Suppose -5*l = 23*p - 24*p - u, -511 = -l - 4*p. What are the prime factors of l?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**5\/100 + 17*f**4\/60 - 52*f**3\/15 + 66*f**2\/5 - 153*f - 18. Determine k so that p(k) = 0.\nAnswer: -22, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3 + 8. Let y(g) = -5*g. Let m(d) be the second derivative of -d**3\/6 - 15*d. Let t(o) = 15*m(o) - 4*y(o). Give t(s(u)).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t + 42. Is r(-3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7297 + 7296.8. Let n = 28 + -28.66. Let d = n - -0.06. What is the third biggest value in -2\/11, t, d, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suusu. Give prob of picking 3 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-7 + 12 + -5 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4945385.\nAnswer: 5, 17, 73, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {d: 2, y: 1, w: 1, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnwnnnnnnwnnnww. What is prob of sequence nwn?\nAnswer: 44\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 55*i + 215. Calculate g(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/173 - -2126\/4325. Which is the second biggest value? (a) -0.4 (b) -10 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14507 or -8532?\nAnswer: -8532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -29*m - 61. Let b be z(-3). Let g(x) = 5*x - 58. What is the smallest common multiple of 40 and g(b)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 376745334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**3 - 15*v**2 + 18*v - 21. Let x be a(5). Calculate the highest common divisor of x and 1357.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.8044 - -0.8044. What is the third biggest value in r, 8.1, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -195*b**2 + 174*b**3 - b**3 + 33 + 195*b**2 + 29 wrt b?\nAnswer: 519*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 - 3)*(2*d + 0 + 0) + (3 - 4 + 0)*(-4*d + 0*d + 2*d) + 4*d - d - 2*d - 5*d + 2*d + d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*y - 88*y - 78*y - 17*y**3 - 47*y**3.\nAnswer: -64*y**3 - 116*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227 at most 1.301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -58, -1\/5, 0.09, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o. Let a(m) be the second derivative of 0*m**2 + 0*m**3 - 1\/3*m**4 - 1 - 11*m. Determine y(a(c)).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27118 is divided by 251.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006302376?\nAnswer: 2, 2729, 46093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 4528\nAnswer: -1\/2264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36829690 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1718611158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/2, 2, -4, 2\/13, -1\/5.\nAnswer: -4, -1\/5, 2\/13, 2, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-1) - 374\/154)\/(60\/42). Which is the second smallest value? (a) 5\/3 (b) q (c) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (((-15)\/5)\/3 + -4). Solve 3*i - i = -l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(3) + -1 + sqrt(3))*-6)**2 + (sqrt(18)\/sqrt(2))\/sqrt(3) - (1 + sqrt(27)*-6)).\nAnswer: -125*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1*0*4\/8. Suppose -2*u - 3*k + 22 - 8 = p, 0 = 3*u - 2*k - 34. Suppose u*v = 8*v + 8. Solve v*z = x - 20, -3*z + 3*x = -0*z + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -125\/11?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k + 27*k + 1386 = 0. Let v = -1255 + 7567\/6. Find the common denominator of 298\/(-30) + k\/(-189) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 + 342 = 4*x. Suppose 6*f = 4*p + 2*f + 476, -p = -5*f + x. List the prime factors of 3\/(-3)*(p + 0).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-3 - -1) - -8. Solve -17*m + b*m + 18 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 706*m**2 - 1. Let b(f) = 108695*f. Give b(a(n)).\nAnswer: 76738670*n**2 - 108695","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*o + 828, 0 = 4*o - 3*w - w - 1136. Suppose 5*k - 14 = o. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let j(h) = 14*h**2. What is j(m(f))?\nAnswer: 56*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -8*p + 10. Let j = -27 - -46. Let v be c(j). Let m = -45 - v. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -845.\nAnswer: 5070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -347.01368?\nAnswer: -352.01368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuhuuuuuhffuffhufouu. What is prob of picking 1 f and 1 h?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -10*o + 2. Suppose -k + 775 = -2*v + v, -o*v = -4*k + 3090. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r - 33*r = 0, -z - z + 5*r + 10 = 0. Which is the second smallest value? (a) 0.1 (b) -3 (c) -2 (d) 4 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 1054*t**2 + 99710*t + 10965150.\nAnswer: 2*(t - 295)**2*(t + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/62729 + 56895149\/564561. Let o = 101 - w. Suppose 2\/9*n**4 + 0 + 2\/9*n**5 + 0*n - 2\/9*n**3 - o*n**2 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4488879613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1\/(6\/15)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -21*h**3 + 2795*h**2 - 260*h - 802. What is z(133)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 1, k: 1, o: 1, a: 2, t: 1}. Give prob of sequence jt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 13 (b) 1\/2 (c) -5 (d) -0.4 (e) -6.49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 59*h - 63*h - 20, -2*m - 3*h = 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -14.6. Let q = 1.6 - l. Let t = 13 + -15. Which is the closest to 3? (a) -0.2 (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 23 - 18 - 8 - n**2 + 2*n**3 + 2*n. What is g(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13304119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + i. Let b(c) = 4*c**2 + 3*c. Suppose -2*t = -t + 1. Suppose 0 = -5*s + x + x - 4, x - 2 = 4*s. Let o = s - -3. Give o*a(d) + t*b(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91412.1m to micrometers.\nAnswer: 91412100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**10\/840 - c**6\/360 - 4*c**3\/3 - 5. Let i(a) be the third derivative of r(a). What is the third derivative of i(h) wrt h?\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.04 - 0.04. Let s = -0.8 + z. What is the closest to s in 0.5, 1, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65106 divided by 2?\nAnswer: -32553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35950032 to the power of 1\/2, to the nearest integer?\nAnswer: 5996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2159946 by -1194.\nAnswer: -1809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25758583*n**3*v**2 + 1918044*n**2*v - n*v**2 wrt n?\nAnswer: 154551498*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 23*n + 44*n - 14*n)*(-1 + 3 + 2) + (-1 + 4 - 1)*(-3*n + 3*n + 2*n) + n + 4 - 4 + 0 - 2*n + 0 - 8*n + 2*n - n + 0*n - 4*n + 3*n + 2 + n - 2.\nAnswer: 24*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -59, 0.13, 1, -4\/9, -0.3?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 + 4*w - 9. Let u = -106 - -71. Let m = u + 31. What is the tens digit of r(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17442, 34939, 52494, 70107, 87778, 105507?\n\"Answer: 29*x**2 + 17410*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*z**5 - 19*z + z - 8*z wrt z?\nAnswer: -180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 2396*o**2 - 18976*o + 37824.\nAnswer: -4*(o - 591)*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Suppose -5*u = 2*b - g*b + 21, 0 = 2*u + b + 8. Let i(s) = 2*s - 2. Let f be i(u). Which is greater: -13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2138 (b) 9 (c) -0.992\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 600114 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(78)*-1)\/(sqrt(486)*-6))**2.\nAnswer: 13\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52624.\nAnswer: 2, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 - 2) + (-1 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (12 - -7 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*z)\/z**(-7)*(z**5\/z)\/z*z*z*z**8 assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 1, k: 1, j: 2, b: 2}. Give prob of picking 2 j and 2 y.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -12. Suppose -g = 2*g + 2*f - 102, 0 = -4*g - 5*f + 143. What is the remainder when g is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973331.\nAnswer: 973331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -12*x + 4. Suppose -230 = 28*j - 790. Let f(w) = -18*w + 45*w - 18*w + 4 - j*w - 1. Give 3*f(u) - 2*g(u).\nAnswer: -9*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 16*h**3 + 14*h**2 - 7*h - 11. Suppose 2*v - 20 = -4*b, -4*v - 51 + 13 = -5*b. Is a(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -77. Let m(a) = -a**2 - 26*a - 59. Calculate the remainder when p is divided by m(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12267252 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.85 - -22.15. Let r = -1.41 - -1.5. Let y = r + 0.21. Which is the second biggest value? (a) -5 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7977*119.5.\nAnswer: 95.32515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 40*y - 27 = 36*y, 2*h - y = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63271508021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 - 2)*(2*f**4 - 3*f**4 - 4*f**4 + 0*f**4 - 4*f**4 + 3*f**4 + (f - 4*f + f)*(f**3 + 2*f**2 - 2*f**2) - 4*f**4 + 4*f**4 + 2*f**4).\nAnswer: 42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_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: Calculate the remainder when 249 is divided by 87.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 241\/2 + -120. Let -a*g**5 - 1\/2 + 3\/2*g + 3\/2*g**4 - g**2 - g**3 = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/3 (b) 255 (c) -0.3 (d) -0.16 (e) 10.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 727.8839 grams?\nAnswer: 727883.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*w + 2*k + 81, -5*w = 3*k - 147. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/245 + -2777\/735. What is the common denominator of y and -53\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95*j**3\/2 - 469*j**2\/2 + 270*j + 18.\nAnswer: (j - 3)*(j - 2)*(95*j + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/556 and 62\/695?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Suppose -h + j*h + 12 = 0. What is the lowest common multiple of 6 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2812)\/20 - 15\/(-25). Let z be 8\/16*(-2 + p). Let y = 84 - z. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:11 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 6*v - 5. Let q be n(-8). Let k = 69 - q. Suppose 0 = 4*z - l - k, 2*l - 6 = -l. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 5. Let f be w(1). Suppose -10 = -n + 2*b, 2*n = f*n + b. Solve p + p = n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 16, -2*m + 5*a = -29 + 19. Solve -22*r + 19*r = 3*w + m, w = -3*r - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 25 = -4*y - 0*d, 2*y - 2*d = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46302.4ml to litres.\nAnswer: 46.3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*j + 16, 0*j - j - 64 = -3*a. Let u be (-6)\/a - 10079994\/21. Round u to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 11*a + 19. Suppose 9*r + 16 = -65. Let m be q(r). Is -80 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(1*sqrt(4)))\/sqrt(11).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 176 = -0*g. Suppose 3*w - 2*y = -240, -w + 173*y - 136 = 177*y. Is w at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106 is divided by 156?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {u: 2, t: 2, q: 1, j: 3, x: 1, b: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61597*w + 666 = -61634*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11902 is divided by 283?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glglzgzklccllzzl. Give prob of sequence zgzl.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 0)*(7 + 20 - 8)*(2*p - 25*p - 390*p).\nAnswer: -7847*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0, -3, 20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30603, -28913, -27223?\n\"Answer: 1690*z - 32293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/480 and 55\/562.\nAnswer: 134880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**3 - 7*x**2 + 3*x + 2. Let t(h) = -18*h**3 + 22*h**2 - 9*h - 6. Determine 2*t(c) + 7*z(c).\nAnswer: -c**3 - 5*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 2, r: 3, v: 1, l: 1, x: 3}. Give prob of sequence ly.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (56 - 34) - (-80 - -9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let i be 5 + ((-2)\/r - 3). Suppose 6 = 2*l + u, i*l - 4*u = -l + 2. Is 2 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-37)*((f\/(f**(-6)*f))\/f)\/(f\/(f\/f**5*f)))\/((f**(-1\/3))**(-8\/5)*f*f\/(f*f**(-2\/9)*f)*f*f\/(f*f*f*f**(-1\/7))) assuming f is positive.\nAnswer: f**(12002\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6765\/16 equal to -423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 162*s**5\/11 - 660240*s**4\/11 - 2936656*s**3\/11 - 3851200*s**2\/11 - 118688*s - 130560\/11 = 0. What is s?\nAnswer: -2, -2\/9, 4080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, p: 1, f: 3, r: 3}. What is prob of picking 1 r and 2 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*l + 280*l + 269*l + 148*l.\nAnswer: 591*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1570.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -6*((sqrt(13) - 1*sqrt(13)) + -1))*1*6 + -5)**2*-4.\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 146\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203234 is divided by 255?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13*24*(-10)\/(-19760)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - s**3 + (-s**2 - 3*s + 3*s)*(s - 2*s + 3*s) + 2*s**2 - 35*s**3 + 98 - 97 - s**3.\nAnswer: -39*s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 6:00 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*b + 9361 = 101*b. What is the highest common divisor of b and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-2)*(0 - 1). Let j be 0\/s*1\/(-3). Solve a + 7 = -4*g, -2*g - g + a - 7 = j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -244 + 250 + -1 + -1 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(-297)*24\/(-160). Let k(r) be the second derivative of 0 + 10*r + 125\/9*r**3 + v*r**6 + 1\/6*r**5 + 625\/12*r**2 + 25\/12*r**4. Factor k(a).\nAnswer: (a + 5)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + x**2 + 5*x**2)*(-5 - 3*x + 5 + (1 + 3 - 3)*(-13*x + 19*x - 29*x))*(-1 - 2 - 5)*(5*x - 3*x - x).\nAnswer: 416*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 83 - 527. Let w = r - -287. What is the remainder when w is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(-2)\/(k**(2\/5)\/k**5)*(k**13\/(k\/k**(12\/7)))**(2\/39) assuming k is positive.\nAnswer: k**(5281\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6827\/1 + (-1750)\/250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 64 = 8*p. Suppose 3*y = -p*c - 6 + 3, 2*c - 1 = y. Solve c = 4*k - 2*s - 3*s + 33, -k + 5*s = 27 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0 + 0 + 382*x - 360*x. Let a(i) = -36*i. Calculate a(g(u)).\nAnswer: -792*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**7\/1050 - n**6\/600 - n**5\/100 + n**4\/120 + n**3\/15 + 7*n**2. Determine d, given that z(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5884.175 micrograms in nanograms?\nAnswer: 5884175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8 and 19\/11 + (-6 - (-6 + 3)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*-189*48\/7776?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19 + 0 - 4\/(-4))*21\/(-147). Find n, given that -51\/7*n + 51\/7*n**2 + 3\/7*n**4 - 3*n**3 + q = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 862 - 502. Suppose -5*q + 4*f + 2178 = 0, -2*q + 3*f + 514 + z = 0. Is q a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**3 - 12*j**2 - 16*j + 10. Let a be t(-8). Let k = 21041 - a. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**2*m**4*t + l**2*m**2 + 12*l**2*t + l*m**4*t + 40*m**4 + 11*m*t wrt m.\nAnswer: 48*l**2*m*t + 24*l*m*t + 960*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-108)\/30)\/(-3))\/(338\/(-130))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1722174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/80 and (-1)\/28 + 22\/(-77).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 588 and 22077636?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -90*v**2 + 355*v + 20 = 0. Calculate v.\nAnswer: -1\/18, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/181258 and 97\/32956?\nAnswer: 362516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21970575709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -821, -586, -333, -62, 227, 534?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4792093*l**2*m**3 + 43*l**2*m**2 - 2756*l**2*q - 7*l*q**2 - 2*m**3*q**2 wrt m?\nAnswer: -28752558*l**2 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 38580 = -2*b, -128*h + 96540 = 5*b - 133*h. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100001 (base 2) in base 14?\nAnswer: -21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.065 - 11.157. Let j = f - -25. Round j to 2 decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/10)\/((-370)\/11100)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1610\/5)\/(-23) + 129. What is the greatest common divisor of 260 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68.895 - 0.105. Let n = 28.5 + g. Let m = n - -41. Which is the second smallest value? (a) -1\/6 (b) 1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (81\/(-18) + 4)*-10. Suppose 0 = 3*m - u*r - 3158, 3*m - 2*m = -3*r + 1076. What are the prime factors of m?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by -281290.\nAnswer: 43\/140645","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**28))\/(m**(-3\/4)\/m))**10 assuming m is positive.\nAnswer: m**(595\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:44 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 21 = j, 3*j = 2*z - 2*j + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -1\/3, 112\/9, 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.5 + -11.7. Put -0.1, h, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/2*(-1542)\/3341?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5752 + 2013 - 87*s + 75*s - 161*s**2 wrt s?\nAnswer: -322*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 18 + 17 = 0. Find the third derivative of l*y**2 - 5*y + 4*y + 4*y**3 + y wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4*f + 0 + 4.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175 * -323.\nAnswer: 56525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*b + 3*l + 2*l, -4*l = -3*b - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -3, -69, -726, -1\/3 in decreasing order.\nAnswer: 0, -1\/3, -3, -6, -69, -726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -144, -173, -202, -231, -260?\n\"Answer: -29*t - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taatttt. What is prob of picking 1 t and 1 a?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - -8. Suppose -4*v + v = -d. List the prime factors of (20\/6)\/(v\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 * -2059549\nAnswer: 80322411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12697 - -12700. Solve 81*p + m = 78*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.86 - -13.8. Put 2, -2, b, 3 in decreasing order.\nAnswer: 3, 2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 11388*w\/7.\nAnswer: 2*w*(w - 5694)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:09 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 443 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 14*z**2 + 29*z - 6. Let f be v(2). Solve 5 = -q, -3*c + 2*q + f = -0*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 246592 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/330 + 3\/((-231)\/29).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6067 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/12 + (-17)\/(-34).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 8*c - 4. Let b(h) = h**2 + 13*h - 6. Give -5*b(q) + 7*s(q).\nAnswer: 2*q**2 - 9*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/90)\/((1 + -4)\/12). Let z = -49\/94 - -1\/47. Suppose 4 = w - 0. Which is the nearest to 0? (a) n (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1909 is divided by 1498.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 2. Let i be -7 + 6 - (0 - 4). Determine r(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1772674 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696, -1389, -2082, -2775, -3468, -4161?\nAnswer: -4854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, l: 2, n: 4}. What is prob of sequence nj?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1144906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 594\/760 + 0 + 0. Let g = -3\/95 + f. Let s = 9 + -13. Sort g, -0.2, s in decreasing order.\nAnswer: g, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -682 - -677. Let a be (-3)\/(-2) - (-27)\/(-14). What is the third biggest value in 4, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*z = g - 9, 0 = 4*g - 5*z - 39. Let b = -30 - -31. Suppose 2*f - 2*s = -8, 5*f = -2*s - b + 9. Solve f = -n - g + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 22*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (288\/56)\/(4\/224). Let m = 523 - r. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5018175 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13\/(112\/36 - 3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 - j - 2. Let v(r) = 6*r**2 + 22*r + 66. Let y be v(-4). Suppose 231 = 41*s - y*s. Calculate h(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 54 = -71*g + 65*g, 0 = -4*t + 2*g - 18 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 984*t + 131 - 268.\nAnswer: 984*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -295*p**2 + 33285*p - 123170.\nAnswer: -5*(p - 109)*(59*p - 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a hour?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1249 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 390*c**2 - 3638*c + 1168. Calculate d(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6634*m**2 - 3*m + 3557*m**2 + 3*m - 4170*m**2.\nAnswer: -7247*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1040, 1819, 2600, 3389, 4192, 5015?\nAnswer: 5864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127\/(89281\/26640) + -38 - (1 + (-1290)\/(-19))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2 + a**3 - 2*a**2 + 5*a**2 + 1. List the prime factors of u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 7. Let l(x) = 2*x**3 + 2*x**2 - 3*x + 2. Let p be l(2). Let w be 8\/p + (-6)\/10. What is the third smallest value in 1\/3, w, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200334 and 37887?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 0)*(-12 + 12 - 5*f**2)*(2 - f - 2 + (5 + 2*f - 5)*(3 - 2 - 3) - 2*f + 4*f - f).\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 74516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1225 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*d - 4*d. Suppose -3*u - d*u + u = 0. Suppose 4*b - 5*i - 76 - 473 = u, 2*b = 2*i + 272. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -g + 4*g - 7, -132 = z + 17*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 - 0.17. What is the nearest to -1 in -0.3, 2, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-20 - -97) + -16 - (-1 - -9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -74165, -73731, -73297, -72863, -72429, -71995?\n\"Answer: 434*q - 74599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43727 or -44249?\nAnswer: -44249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 13*a + 11*a = 5, 2*x + 5*a = -27 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 1538196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27276.8 rounded to the nearest one hundred?\nAnswer: -27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 106*g**2 - 2652*g + 88. Calculate u(67).\nAnswer: -2525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3 = -q + 10, -s + 19 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 863195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1456)\/104 + 3336\/225 and 59\/51?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 j when four letters picked without replacement from aaaaazzljazzaajaaza.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2. Let f(p) = 9695747*p**2. Give v(f(h)).\nAnswer: -94007509888009*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 115 = -2*w, -3*w - 171 = 3*b - 0*b. List the prime factors of (-65)\/30*w - (-1)\/3.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44450, -24, -5 in ascending order.\nAnswer: -44450, -24, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39*(47775\/(-845))\/49?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29036.154 + 28839. Let h = 2.454 + q. Let w = h + 206. Round w to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**6 - 265*o**4 - 10*o**3 - 191*o**2 + 15 wrt o.\nAnswer: 120*o**3 - 6360*o - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 354 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123*(-782)\/1442790 + (-1 - (-584)\/15)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 7*x + 114 = -6*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 38 = 5*n - 67, 30 = n + 2*i. Suppose -9*v = -3*v - n. Suppose -4*r - v*z = -64, r + 50 = 4*r + 2*z. What is the remainder when r is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -428?\nAnswer: -428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1907*c = 2*l + 1903*c - 8, -5*c = 4*l + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2514924698 to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:11 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/10)\/((-312)\/(-30) + 270\/(-27))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 19*y**4\/6 + 20*y. Let u(m) = -2*m**2. Determine u(z(q)).\nAnswer: -2888*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 4*n**5\/5 - 4*n**3 + 4*n**2 + 6. Determine h so that v(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-75)*35 + (-20)\/50?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.12 (b) -4\/15 (c) 0.07 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 641 = 2*j + 183, 916 = 4*j + 4*m. What is the remainder when j is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(46\/(-20)*708\/(-354))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*b - 28*b + 6, -4*u + b + 19 = 0. Solve a - 15 = 4*d, 2*d - 7 - 3 = u*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 7*s**4\/2 + 4*s + 11. Differentiate i(r) wrt r.\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49376, -49427, -49490, -49571, -49676, -49811, -49982, -50195?\nAnswer: -50456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1480354 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, c: 1, e: 2, d: 4, t: 2}. Give prob of sequence dgd.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185\/25 + 3\/5 and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -2, 19.\nAnswer: -2, 1\/6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*o**2 - 2757971*o - 117051861?\nAnswer: -10*o - 2757971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 + -6)*(3 + -2). Let r(p) = 5*p**2 + p**2 - c*p**2. Let k(z) = -2*z. Calculate k(r(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3881786696 + 7*b**2 + 3881786696.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 44180.491?\nAnswer: -44180.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*v - 27. Suppose 5*b - 30 = -2*u, -v*u - 25 = u. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 0.07 (c) 2\/5 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2880\/75)\/(-8)*(-100)\/(-40).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*x - 125 - 7. Solve -5*n = -j - 15, -x - 3 = -n + j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**8\/840 - f**7\/210 + f**6\/180 + f**5\/30 - 31*f**3\/3 - f**2\/2 + 47. Let l(d) be the third derivative of u(d). Factor l(r).\nAnswer: -2*r*(r - 1)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64580100 divided by 58?\nAnswer: 1113450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*p - 80, 0*p = 3*r - 3*p + 36. Let u be (-4)\/14 - (-1368)\/r. Let b be 6\/2 - (u - -2). Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -402*z**3 - 13*z**2 + 15*z - 50. Let v be i(-10). What is v rounded to the nearest 10000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m - 626008 = -122*m + 612670. Calculate the greatest common factor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2*(8 + -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 36. Suppose 3*g = -d*g + 112. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 70*x = -94 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (0 + -2 + 0). Suppose f = 4*c + c. Suppose -3*t + 8*t - 10 = 0, c = 3*j + 4*t - 113. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + ((-21)\/28)\/((-3)\/(-1977)). Let t = j - -502. What is the common denominator of -11\/130 and t?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152292 is divided by 196.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/18*12\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-1) + (-4 - 65\/(-7))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (4\/((-8)\/94) - -2). Let t = -14 + v. Find c, given that 2*c**2 + 28 - t + 2*c**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78138 at least as big as -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + -50163?\nAnswer: -50144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/27)\/1 + 6\/27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24512 = -4*k - 15*k - 24607. What is the smallest value in 2\/15, k, -3\/7, 1\/3, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (3 - (-2 + 11 + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 482316*c**2 + 2*c - 7553 wrt c.\nAnswer: 964632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a686 + 2?\nAnswer: 2a688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(5) - (sqrt(500) - 1*sqrt(500))) - (sqrt(5) + 3 + -5 + 1)) + 4)**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/(-3) + (33 - 41). Solve -2*i + 1 = r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from jjjvvjj.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q - 4 = -47*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2. Let w be g(-3). Let l be 926\/6 + 3\/w. Calculate the highest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 84 = 77 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/51))\/(j*j**(11\/5)) assuming j is positive.\nAnswer: j**(-551\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u**2 - 6 + 2*u**2 - u + 6 as a*u**2 + s + g*u and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.560443 + 0.56. What is k rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (6 - (7 - -4))\/(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -1 - 4. Let i(z) = -z**3 - 3*z**2 - 3*z + 6. Let b be i(c). Let m = 122 - b. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - (-2 - -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -21. Let i(o) be the second derivative of o + 0*o**3 + 0*o**5 + 1\/12*o**4 + g + 1\/15*o**6 + 0*o**2. What is the third derivative of i(s) wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017105 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 69. Let j be -1*(-2)\/(-2)*(4 - p). Sort 4, j, 0.\nAnswer: j, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 - 2. Let o be (-329)\/141 - (-16)\/(-6). Let k(h) be the second derivative of h**4\/3 + 5*h**2\/2 + h. What is o*c(y) - 2*k(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13933914?\nAnswer: 2, 3, 17, 136607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**4\/4 - 10*z**3\/3 + z**2\/2 + 9*z - 16. Let p be c(-10). Let o(q) = -q + 1. Let u(j) = 4*j - 4. Determine p*u(t) - 5*o(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sgssc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 0.2, 16, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*m - 0*x + 44, 4*m = 2*x - 60. Suppose -j = -4*l - 46, -446*j = 3*l - 447*j + 35. Is l greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*o + 50 = 97 + 63. Which is smaller: 6083 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4997431?\nAnswer: 607, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 14*u - 78. Let p(t) = 5*t - 27. Let a(q) = 4*n(q) - 11*p(q). Let i(b) = 2*b. Calculate i(a(m)).\nAnswer: 2*m - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/92)\/(4\/(-80)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12, -10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36529269 to the power of 1\/2, to the nearest integer?\nAnswer: 6044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5010642 divided by -18354?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyyyyzyyyyy. What is prob of picking 3 y and 1 z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**13\/m**(1\/7))\/(m\/(m**(-14)\/m)*m\/(m*m**(2\/7))) assuming m is positive.\nAnswer: m**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u + 4. Let a be o(-3). Let t be 2\/(-8) + (-58)\/a. Which is bigger: t or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51906 and 1151638.\nAnswer: 141651474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-4)\/35)\/(2283\/3805).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 0.3. Let k = -6.1 + 5. Let z = 0.1 + k. What is the third smallest value in -0.3, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + (-240)\/16)\/(-17 - 1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 546 divided by 78\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -82.1259 and 0.71.\nAnswer: -58.309389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43295 is divided by 2390.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - 0 - (3304 - 3307)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.1, 0.5, 0.14 in ascending order.\nAnswer: -0.1, 0.14, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g + 7. Let v(l) = l + 1. Let x(h) = -c(h) + 5*v(h). Suppose z + 46 = 3*z. Suppose -2*f - z = -17. What is x(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(60\/(-63)))\/((-117)\/(-4750044)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14) - (2\/45 - (-4991)\/17640)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10320606 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -2021*s**5\/20 + s**4\/24 + 2*s**3\/3 - 4*s**2. Let i be v(4). What is i rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470 + 14*l**3 - 426 - 24 - 21 + 12*l**3.\nAnswer: 26*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285 + 750. What is the remainder when g is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 688*u**3 - 2 + 509*u**3 to j*u**2 + z*u + n + w*u**3 and give w.\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -12, 59 = 4*p + 2*l - 41. Calculate the remainder when p is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/37))\/i*i*i\/(i*i**(2\/11)))\/(i**(-3\/19)\/(i\/i**(-35))) assuming i is positive.\nAnswer: i**(286354\/7733)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 3*o**2 - 9*o + 2. Let h be w(4). Let s(p) = -h - 49 - 52 - p**2 + 147. Let f(j) = 4*j**2 - 23*j. Give f(s(g)).\nAnswer: 4*g**4 + 23*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24, -7 in increasing order.\nAnswer: -7, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5410 divided by -2705?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (36\/2)\/(18\/((-126)\/91) - 321\/(-24))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21579.97, -2, -1, 2\/3, -0.5, 0, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 710196150 a multiple of 813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) - (3 + (-2*sqrt(125))**2 + sqrt(125)) - sqrt(540)\/sqrt(3).\nAnswer: -503 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n. Let t be (-5)\/(20\/(-32))*(0 - -2). Let u(l) = -8*l**2 + 3*l**2 + 11*l**2 + t*l**2. What is u(q(z))?\nAnswer: 88*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -41. Let h = 0 - 0. Suppose o = -h*o + l. Solve -j = -1 - o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 4) in base 11?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 3, t: 6, r: 1, f: 1}. What is prob of picking 2 b?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 267 - (-102)\/(-272)*16*1. Is 4 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**4 - 1439247*y**3 - 9*y**2 + 4317735*y + 2878494 = 0?\nAnswer: -1, 2, 479749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66257?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 766 divide 11641213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times -22?\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25801188 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181014419 + 50*v + 181014419.\nAnswer: 50*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Let u(l) = l**2 + 4*l - 3*l + 1 - 3*l. Let v be u(m). Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -15.3. What is the nearest to 1 in u, -3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1142606 or -1142607?\nAnswer: -1142606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 11. Let v be (-16)\/x + 2\/5. Let j be (10\/4)\/(v\/(-4)). Let i(t) = 2*t + 4. Determine i(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.4 (b) 5 (c) 2\/9 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/40*(1*-12)\/3*(84 + -80)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - -50) + -4 + (1 - -8) + (-6 - 54).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b + 261 + 99. Calculate the smallest common multiple of 8 and (-24)\/b + (-246)\/(-9).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285657074?\nAnswer: 2, 142828537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:43 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 22*w**2 - 22*w + 26. Let l be b(-23). Solve 3 = 4*m - l*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5280*l**2 + 6*l + 5203*l**2 - 2*l + l to the form r + j*l + v*l**2 and give v.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcf when three letters picked without replacement from {g: 1, c: 3, z: 1, k: 3, f: 6}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 12*c - 9. Let x(i) = 20*i - 64. Let y be x(3). Let s be -9 - (6\/y - 275\/(-50)). Calculate g(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7854*g**3*i**2*n - g**3*i**2 + g**2*n + 4*g**2 + 2*g*i**2*n - 9*i*n + 11 wrt g?\nAnswer: 47124*i**2*n - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 127 = 37*j + 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1271610 and 994.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*h - 7 = 0, 3 = 2*d + h + 2. Suppose d*i = -i - 92. Let f = 34 + i. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 24358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40551895*a**2*m - a*m + 16451*a - 15*m + 1 wrt a.\nAnswer: -81103790*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.66 - 1.57. Which is the third smallest value? (a) -0.8 (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 + z**2 - 2*z + 1. Let g be p(1). Put g, 3, -1, -4 in ascending order.\nAnswer: -4, g, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(-1*(sqrt(180) + -1) - sqrt(180))*-4 + 0)**2 + 5.\nAnswer: -864*sqrt(5) + 11606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, n: 15}. What is prob of picking 3 s?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r**(-3)\/r*r*r\/(r**(1\/3)*r)*((r*r**(-1\/3))\/r)**11*((r*r**(-1\/8))\/r**(-5))**25 assuming r is positive.\nAnswer: r**(1143\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 5:53 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 299, 302, 299, 290?\n\"Answer: -3*n**2 + 12*n + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {z: 1, o: 2, p: 2, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186118789.\nAnswer: 186118789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 209*h + 207*h - 51 + 13 as l + u*h and give l.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -315*q**2 + 42. Let a(x) = -642*x**2 - 5 - 658*x**2 + 1337*x**2. Determine 42*a(p) + 5*z(p).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - 18. Let t = -1 - z. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 45\/8 of a millisecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -26 (b) -746 (c) 4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 - 2*w**2 + 2*w - 2. Calculate f(-3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1*(2 + (1 - 1)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -16, -d = z - 57 - 40. Solve -13*f + z = 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - 1. Let o be ((-34)\/(-4)*-2)\/(-1). Let s = o - l. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -263.7 - -263.3. Let h be (-14)\/(-147) - (-4)\/(-6). Let g = -0.07 - 1.93. Which is the nearest to h? (a) u (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -777 and -18.\nAnswer: 13986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 17. Let x(z) = -z**2 + 4. Let l be x(4). Let u be h(l). Let o = u - -8. What is the remainder when 36 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6272 and -53\/472.\nAnswer: 370048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 2222 - 4449 + 2227.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*-3*(-116)\/8?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (0 + 2)) + -2. Let q be (-262)\/(0\/b + -1). Suppose -4*j + q = -618. What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55110)\/3444 - -16)*-14.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 15*x - 37. Let g be l(11). What is the greatest common divisor of 2 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 34*s = 12. Suppose 3905 = -2*w - g, -2*w + s*g + 1940 = -3*w. Let x = w + 985. What is x rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 19. Let w be 3*8\/(-12) - 2. Let s be -34*w\/(-16)*-2. Let u be p(s). Solve 0 = u*j - 0*j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -625, -5198, -17669, -41986, -82097, -141950?\nAnswer: -225493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1. Let l(m) = -38*m + 14. Let w(g) = -l(g) - 6*t(g). Differentiate w(j) wrt j.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(13)*-5)**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 417134.2 hours in microseconds?\nAnswer: 1501683120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1505 + 502 - 325)*(3 - 2 - 2)*(3*w + 2*w**3 - 3*w).\nAnswer: -3364*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 12*l**2 + 10*l - 22. Let z be m(12). Let i = -1447 + 1503. What is the greatest common divisor of i and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 0 - 4)*-1. Suppose -2*y = a - 71, 5*a - 307 = -0*a + t*y. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53.999984 - 54. Round h to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185 is divided by 337.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 97 = 2*d - 127, 0 = -3*u - 5*d + 10. Let t(i) = 3*i**2 - 3*i + 5. Let x(f) = -2*f**2 + 2*f - 4. Give u*x(l) - 4*t(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8076*h**2*k + 3*h**2 - 119*h wrt k.\nAnswer: -8076*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 3*a**2 + 341*a + 3. Determine b(20).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-16)\/(g\/g**(1\/27)*g))\/(g**(-30\/7))**(-20) assuming g is positive.\nAnswer: g**(-19595\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2710 - -2714. Let s(b) = b + 1. Let m(h) = -15*h - 2. Give x*s(c) + 2*m(c).\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**4\/4 + 3*r**3 + 7*r**2\/2 + 2*r + 11. Let y be b(-6). Calculate the greatest common divisor of 170 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -219 - -319. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 14*s**2 + 4*s - 2. Give b(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 30*c - 275. Let s = 581 - 572. Let q be y(s). Let d(z) = z**2 + 9*z + 6. What is d(q)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}